A neutron star is the collapsed core of a massive supergiant star, which had a total mass of between 10 and 25 solar masses (M☉), possibly more if the star was especially metal-rich. Except for black holes, neutron stars are the smallest and densest known class of stellar objects. Neutron stars have a radius on the order of 10 kilometers (6 mi) and a mass of about 1.4 M☉. They result from the supernova explosion of a massive star, combined with gravitational collapse, that compresses the core past white dwarf star density to that of atomic nuclei.
Once formed, neutron stars no longer actively generate heat and cool over time; however, they may still evolve further through collision or accretion. Most of the basic models for these objects imply that they are composed almost entirely of neutrons; the electrons and protons present in normal matter combine to produce neutrons at the conditions in a neutron star. Neutron stars are partially supported against further collapse by neutron degeneracy pressure, just as white dwarfs are supported against collapse by electron degeneracy pressure. However, this is not by itself sufficient to hold up an object beyond 0.7 M☉ and repulsive nuclear forces play a larger role in supporting more massive neutron stars. If the remnant star has a mass exceeding the Tolman–Oppenheimer–Volkoff limit, which ranges from 2.2–2.9 M☉, the combination of degeneracy pressure and nuclear forces is insufficient to support the neutron star, causing it to collapse and form a black hole. The most massive neutron star detected so far, PSR J0952–0607, is estimated to be 2.35±0.17 M☉.
Newly formed neutron stars may have surface temperatures of ten million kelvin or more. However, since neutron stars generate no new heat through fusion, they inexorably cool down after their formation. Consequently, a given neutron star reaches a surface temperature of one million kelvin when it is between one thousand and one million years old. Older and even-cooler neutron stars are still easy to discover; the well-studied neutron star, RX J1856.5−3754, has an average surface temperature of about 434,000 kelvin. For comparison, the Sun has an effective surface temperature of 5,780 kelvin.
Neutron star material is remarkably dense: a normal-sized matchbox containing neutron-star material would have a weight of approximately 3 billion tonnes, the same weight as a 0.5-cubic-kilometer chunk of the Earth (a cube with edges of about 800 meters) from Earth's surface. Their magnetic fields are between 108 and 1015 (100 million and 1 quadrillion) times stronger than Earth's magnetic field. The gravitational field at the neutron star's surface is about 2×1011 (200 billion) times that of Earth's gravitational field.
As a star's core collapses, its rotation rate increases due to conservation of angular momentum, and newly formed neutron stars rotate at up to several hundred times per second. Some neutron stars emit beams of electromagnetic radiation that make them detectable as pulsars, and the discovery of pulsars by Jocelyn Bell Burnell and Antony Hewish in 1967 was the first observational suggestion that neutron stars exist. The fastest-spinning neutron star known is PSR J1748-2446ad, rotating at a rate of 716 times per second or 43,000 revolutions per minute, giving a linear (tangential) speed at the surface on the order of 0.24 c (i.e., nearly a quarter the speed of light).
There are thought to be around one billion neutron stars in the Milky Way, and at a minimum several hundred million, a figure obtained by estimating the number of stars that have undergone supernova explosions. However, many of them have existed for a long period of time and have cooled down considerably. These stars radiate very little electromagnetic radiation; most neutron stars that have been detected occur only in certain situations in which they do radiate, such as if they are a pulsar or a part of a binary system. Slow-rotating and non-accreting neutron stars are difficult to detect, due to the absence of electromagnetic radiation; however, since the Hubble Space Telescope's detection of RX J1856.5−3754 in the 1990s, a few nearby neutron stars that appear to emit only thermal radiation have been detected.
Neutron stars in binary systems can undergo accretion, in which case they emit large amounts of X-rays. During this process, matter is deposited on the surface of the stars, forming "hotspots" that can be sporadically identified X-ray pulsar systems. Additionally, such accretion are able to "recycle" old pulsars, causing them to gain mass and rotate extremely quickly, forming millisecond pulsars. Furthermore, binary systems such as these continue to evolve, with many companions eventually becoming compact objects such as white dwarfs or neutron stars themselves, though other possibilities include a complete destruction of the companion through ablation or collision. The collision of binary neutron stars may be the source of short-duration gamma-ray bursts and are likely strong sources of gravitational waves. In 2017, a direct detection (GW170817) of the gravitational waves from such an event was observed, along with indirect observation of gravitational waves from the Hulse-Taylor pulsar.
Any main-sequence star with an initial mass of greater than 8 M☉ (eight times the mass of the Sun) has the potential to become a neutron star. As the star evolves away from the main sequence, stellar nucleosynthesis produces an iron-rich core. When all nuclear fuel in the core has been exhausted, the core must be supported by degeneracy pressure alone. Further deposits of mass from shell burning cause the core to exceed the Chandrasekhar limit. Electron-degeneracy pressure is overcome, and the core collapses further, causing temperatures to rise to over 5×109 K (5 billion kelvin). At these temperatures, photodisintegration (the breakdown of iron nuclei into alpha particles due to high-energy gamma rays) occurs. As the temperature of the core continues to rise, electrons and protons combine to form neutrons via electron capture, releasing a flood of neutrinos. When densities reach nuclear density of 4×1017 kg/m3, a combination of strong force repulsion and neutron degeneracy pressure halts the contraction. The contracting outer envelope of the star is halted and rapidly flung outwards by a flux of neutrinos produced in the creation of the neutrons, resulting in a supernova and leaving behind a neutron star. However, if the remnant has a mass greater than about 3 M☉, it instead becomes a black hole.
As the core of a massive star is compressed during a Type II supernova or a Type Ib or Type Ic supernova, and collapses into a neutron star, it retains most of its angular momentum. Because it has only a tiny fraction of its parent's radius (sharply reducing its moment of inertia), a neutron star is formed with very high rotation speed and then, over a very long period, it slows. Neutron stars are known that have rotation periods from about 1.4 ms to 30 s. The neutron star's density also gives it very high surface gravity, with typical values ranging from 1012 to 1013 m/s2 (more than 1011 times that of Earth). One measure of such immense gravity is the fact that neutron stars have an escape velocity of over half the speed of light. The neutron star's gravity accelerates infalling matter to tremendous speed, and tidal forces near the surface can cause spaghettification.
Mass and temperature edit
A neutron star has a mass of at least 1.1 solar masses (M☉). The upper limit of mass for a neutron star is called the Tolman–Oppenheimer–Volkoff limit and is generally held to be around 2.1 M☉, but a recent estimate puts the upper limit at 2.16 M☉. The maximum observed mass of neutron stars is about 2.14 M☉ for PSR J0740+6620 discovered in September, 2019. Compact stars below the Chandrasekhar limit of 1.39 M☉ are generally white dwarfs whereas compact stars with a mass between 1.4 M☉ and 2.16 M☉ are expected to be neutron stars, but there is an interval of a few tenths of a solar mass where the masses of low-mass neutron stars and high-mass white dwarfs can overlap. It is thought that beyond 2.16 M☉ the stellar remnant will overcome the strong force repulsion and neutron degeneracy pressure so that gravitational collapse will occur to produce a black hole, but the smallest observed mass of a stellar black hole is about 5 M☉.[a] Between 2.16 M☉ and 5 M☉, hypothetical intermediate-mass stars such as quark stars and electroweak stars have been proposed, but none has been shown to exist.[a]
The temperature inside a newly formed neutron star is from around 1011 to 1012 kelvin. However, the huge number of neutrinos it emits carries away so much energy that the temperature of an isolated neutron star falls within a few years to around 106 kelvin. At this lower temperature, most of the light generated by a neutron star is in X-rays.
Some researchers have proposed a neutron star classification system using Roman numerals (not to be confused with the Yerkes luminosity classes for non-degenerate stars) to sort neutron stars by their mass and cooling rates: type I for neutron stars with low mass and cooling rates, type II for neutron stars with higher mass and cooling rates, and a proposed type III for neutron stars with even higher mass, approaching 2 M☉, and with higher cooling rates and possibly candidates for exotic stars.
Density and pressure edit
Neutron stars have overall densities of 3.7×1017 to 5.9×1017 kg/m3 (2.6×1014 to 4.1×1014 times the density of the Sun),[b] which is comparable to the approximate density of an atomic nucleus of 3×1017 kg/m3. The neutron star's density varies from about 1×109 kg/m3 in the crust—increasing with depth—to about 6×1017 or 8×1017 kg/m3 (denser than an atomic nucleus) deeper inside. A neutron star is so dense that one teaspoon (5 milliliters) of its material would have a mass over 5.5×1012 kg, about 900 times the mass of the Great Pyramid of Giza. In the enormous gravitational field of a neutron star, that teaspoon of material would weigh 1.1×1025 N, which is 15 times what the Moon would weigh if it were placed on the surface of the Earth.[c] The entire mass of the Earth at neutron star density would fit into a sphere of 305 m in diameter (the size of the Arecibo Telescope). The pressure increases from 3.2×1031 to 1.6×1034 Pa from the inner crust to the center.
The equation of state of matter at such high densities is not precisely known because of the theoretical difficulties associated with extrapolating the likely behavior of quantum chromodynamics, superconductivity, and superfluidity of matter in such states. The problem is exacerbated by the empirical difficulties of observing the characteristics of any object that is hundreds of parsecs away, or farther. Neutron stars are thought to have high rigidity in the crust, and thus a low Love number.
A neutron star has some of the properties of an atomic nucleus, including density (within an order of magnitude) and being composed of nucleons. In popular scientific writing, neutron stars are therefore sometimes described as "giant nuclei". However, in other respects, neutron stars and atomic nuclei are quite different. A nucleus is held together by the strong interaction, whereas a neutron star is held together by gravity. The density of a nucleus is uniform, while neutron stars are predicted to consist of multiple layers with varying compositions and densities.
Magnetic field edit
The magnetic field strength on the surface of neutron stars ranges from c. 104 to 1011 tesla (T). These are orders of magnitude higher than in any other object: For comparison, a continuous 16 T field has been achieved in the laboratory and is sufficient to levitate a living frog due to diamagnetic levitation. Variations in magnetic field strengths are most likely the main factor that allows different types of neutron stars to be distinguished by their spectra, and explains the periodicity of pulsars.
The neutron stars known as magnetars have the strongest magnetic fields, in the range of 108 to 1011 T, and have become the widely accepted hypothesis for neutron star types soft gamma repeaters (SGRs) and anomalous X-ray pulsars (AXPs). The magnetic energy density of a 108 T field is extreme, greatly exceeding the mass-energy density of ordinary matter.[d] Fields of this strength are able to polarize the vacuum to the point that the vacuum becomes birefringent. Photons can merge or split in two, and virtual particle-antiparticle pairs are produced. The field changes electron energy levels and atoms are forced into thin cylinders. Unlike in an ordinary pulsar, magnetar spin-down can be directly powered by its magnetic field, and the magnetic field is strong enough to stress the crust to the point of fracture. Fractures of the crust cause starquakes, observed as extremely luminous millisecond hard gamma ray bursts. The fireball is trapped by the magnetic field, and comes in and out of view when the star rotates, which is observed as a periodic soft gamma repeater (SGR) emission with a period of 5–8 seconds and which lasts for a few minutes.
The origins of the strong magnetic field are as yet unclear. One hypothesis is that of "flux freezing", or conservation of the original magnetic flux during the formation of the neutron star. If an object has a certain magnetic flux over its surface area, and that area shrinks to a smaller area, but the magnetic flux is conserved, then the magnetic field would correspondingly increase. Likewise, a collapsing star begins with a much larger surface area than the resulting neutron star, and conservation of magnetic flux would result in a far stronger magnetic field. However, this simple explanation does not fully explain magnetic field strengths of neutron stars.
Gravity and equation of state edit
The gravitational field at a neutron star's surface is about 2×1011 times stronger than on Earth, at around 2.0×1012 m/s2. Such a strong gravitational field acts as a gravitational lens and bends the radiation emitted by the neutron star such that parts of the normally invisible rear surface become visible. If the radius of the neutron star is 3GM/c2 or less, then the photons may be trapped in an orbit, thus making the whole surface of that neutron star visible from a single vantage point, along with destabilizing photon orbits at or below the 1 radius distance of the star.
A fraction of the mass of a star that collapses to form a neutron star is released in the supernova explosion from which it forms (from the law of mass–energy equivalence, E = mc2). The energy comes from the gravitational binding energy of a neutron star.
Hence, the gravitational force of a typical neutron star is huge. If an object were to fall from a height of one meter on a neutron star 12 kilometers in radius, it would reach the ground at around 1400 kilometers per second. However, even before impact, the tidal force would cause spaghettification, breaking any sort of an ordinary object into a stream of material.
Because of the enormous gravity, time dilation between a neutron star and Earth is significant. For example, eight years could pass on the surface of a neutron star, yet ten years would have passed on Earth, not including the time-dilation effect of the star's very rapid rotation.
Neutron star relativistic equations of state describe the relation of radius vs. mass for various models. The most likely radii for a given neutron star mass are bracketed by models AP4 (smallest radius) and MS2 (largest radius). EB is the ratio of gravitational binding energy mass equivalent to the observed neutron star gravitational mass of M kilograms with radius R meters,
and star masses "M" commonly reported as multiples of one solar mass,
A 2 M☉ neutron star would not be more compact than 10,970 meters radius (AP4 model). Its mass fraction gravitational binding energy would then be 0.187, −18.7% (exothermic). This is not near 0.6/2 = 0.3, −30%.
The equation of state for a neutron star is not yet known. It is assumed that it differs significantly from that of a white dwarf, whose equation of state is that of a degenerate gas that can be described in close agreement with special relativity. However, with a neutron star the increased effects of general relativity can no longer be ignored. Several equations of state have been proposed (FPS, UU, APR, L, SLy, and others) and current research is still attempting to constrain the theories to make predictions of neutron star matter. This means that the relation between density and mass is not fully known, and this causes uncertainties in radius estimates. For example, a 1.5 M☉ neutron star could have a radius of 10.7, 11.1, 12.1 or 15.1 kilometers (for EOS FPS, UU, APR or L respectively).
Current understanding of the structure of neutron stars is defined by existing mathematical models, but it might be possible to infer some details through studies of neutron-star oscillations. Asteroseismology, a study applied to ordinary stars, can reveal the inner structure of neutron stars by analyzing observed spectra of stellar oscillations.
Current models indicate that matter at the surface of a neutron star is composed of ordinary atomic nuclei crushed into a solid lattice with a sea of electrons flowing through the gaps between them. It is possible that the nuclei at the surface are iron, due to iron's high binding energy per nucleon. It is also possible that heavy elements, such as iron, simply sink beneath the surface, leaving only light nuclei like helium and hydrogen. If the surface temperature exceeds 106 kelvins (as in the case of a young pulsar), the surface should be fluid instead of the solid phase that might exist in cooler neutron stars (temperature <106 kelvins).
The "atmosphere" of a neutron star is hypothesized to be at most several micrometers thick, and its dynamics are fully controlled by the neutron star's magnetic field. Below the atmosphere one encounters a solid "crust". This crust is extremely hard and very smooth (with maximum surface irregularities on the order of millimeters or less), due to the extreme gravitational field.
Proceeding inward, one encounters nuclei with ever-increasing numbers of neutrons; such nuclei would decay quickly on Earth, but are kept stable by tremendous pressures. As this process continues at increasing depths, the neutron drip becomes overwhelming, and the concentration of free neutrons increases rapidly. In that region, there are nuclei, free electrons, and free neutrons. The nuclei become increasingly small (gravity and pressure overwhelming the strong force) until the core is reached, by definition the point where mostly neutrons exist. The expected hierarchy of phases of nuclear matter in the inner crust has been characterized as "nuclear pasta", with fewer voids and larger structures towards higher pressures. The composition of the superdense matter in the core remains uncertain. One model describes the core as superfluid neutron-degenerate matter (mostly neutrons, with some protons and electrons). More exotic forms of matter are possible, including degenerate strange matter (containing strange quarks in addition to up and down quarks), matter containing high-energy pions and kaons in addition to neutrons, or ultra-dense quark-degenerate matter.
Neutron stars are detected from their electromagnetic radiation. Neutron stars are usually observed to pulse radio waves and other electromagnetic radiation, and neutron stars observed with pulses are called pulsars.
Pulsars' radiation is thought to be caused by particle acceleration near their magnetic poles, which need not be aligned with the rotational axis of the neutron star. It is thought that a large electrostatic field builds up near the magnetic poles, leading to electron emission. These electrons are magnetically accelerated along the field lines, leading to curvature radiation, with the radiation being strongly polarized towards the plane of curvature. In addition, high-energy photons can interact with lower-energy photons and the magnetic field for electron−positron pair production, which through electron–positron annihilation leads to further high-energy photons.
The radiation emanating from the magnetic poles of neutron stars can be described as magnetospheric radiation, in reference to the magnetosphere of the neutron star. It is not to be confused with magnetic dipole radiation, which is emitted because the magnetic axis is not aligned with the rotational axis, with a radiation frequency the same as the neutron star's rotational frequency.
If the axis of rotation of the neutron star is different from the magnetic axis, external viewers will only see these beams of radiation whenever the magnetic axis point towards them during the neutron star rotation. Therefore, periodic pulses are observed, at the same rate as the rotation of the neutron star.
In May 2022, astronomers reported an ultra-long-period radio-emitting neutron star PSR J0901-4046, with spin properties distinct from the known neutron stars. It is unclear how its radio emission is generated, and it challenges the current understanding of how pulsars evolve.
Non-pulsating neutron stars edit
In addition to pulsars, non-pulsating neutron stars have also been identified, although they may have minor periodic variation in luminosity. This seems to be a characteristic of the X-ray sources known as Central Compact Objects in Supernova remnants (CCOs in SNRs), which are thought to be young, radio-quiet isolated neutron stars.
In addition to radio emissions, neutron stars have also been identified in other parts of the electromagnetic spectrum. This includes visible light, near infrared, ultraviolet, X-rays, and gamma rays. Pulsars observed in X-rays are known as X-ray pulsars if accretion-powered, while those identified in visible light are known as optical pulsars. The majority of neutron stars detected, including those identified in optical, X-ray, and gamma rays, also emit radio waves; the Crab Pulsar produces electromagnetic emissions across the spectrum. However, there exist neutron stars called radio-quiet neutron stars, with no radio emissions detected.
Neutron stars rotate extremely rapidly after their formation due to the conservation of angular momentum; in analogy to spinning ice skaters pulling in their arms, the slow rotation of the original star's core speeds up as it shrinks. A newborn neutron star can rotate many times a second.
Spin down edit
Over time, neutron stars slow, as their rotating magnetic fields in effect radiate energy associated with the rotation; older neutron stars may take several seconds for each revolution. This is called spin down. The rate at which a neutron star slows its rotation is usually constant and very small.
The periodic time (P) is the rotational period, the time for one rotation of a neutron star. The spin-down rate, the rate of slowing of rotation, is then given the symbol (P-dot), the derivative of P with respect to time. It is defined as periodic time increase per unit time; it is a dimensionless quantity, but can be given the units of s⋅s−1 (seconds per second).
The spin-down rate (P-dot) of neutron stars usually falls within the range of 10−22 to 10−9 s⋅s−1, with the shorter period (or faster rotating) observable neutron stars usually having smaller P-dot. As a neutron star ages, its rotation slows (as P increases); eventually, the rate of rotation will become too slow to power the radio-emission mechanism, and the neutron star can no longer be detected.
P and P-dot allow minimum magnetic fields of neutron stars to be estimated. P and P-dot can be also used to calculate the characteristic age of a pulsar, but gives an estimate which is somewhat larger than the true age when it is applied to young pulsars.
P and P-dot can also be combined with neutron star's moment of inertia to estimate a quantity called spin-down luminosity, which is given the symbol (E-dot). It is not the measured luminosity, but rather the calculated loss rate of rotational energy that would manifest itself as radiation. For neutron stars where the spin-down luminosity is comparable to the actual luminosity, the neutron stars are said to be "rotation powered". The observed luminosity of the Crab Pulsar is comparable to the spin-down luminosity, supporting the model that rotational kinetic energy powers the radiation from it. With neutron stars such as magnetars, where the actual luminosity exceeds the spin-down luminosity by about a factor of one hundred, it is assumed that the luminosity is powered by magnetic dissipation, rather than being rotation powered.
P and P-dot can also be plotted for neutron stars to create a P–P-dot diagram. It encodes a tremendous amount of information about the pulsar population and its properties, and has been likened to the Hertzsprung–Russell diagram in its importance for neutron stars.
Spin up edit
Neutron star rotational speeds can increase, a process known as spin up. Sometimes neutron stars absorb orbiting matter from companion stars, increasing the rotation rate and reshaping the neutron star into an oblate spheroid. This causes an increase in the rate of rotation of the neutron star of over a hundred times per second in the case of millisecond pulsars.
The most rapidly rotating neutron star currently known, PSR J1748-2446ad, rotates at 716 revolutions per second. A 2007 paper reported the detection of an X-ray burst oscillation, which provides an indirect measure of spin, of 1122 Hz from the neutron star XTE J1739-285, suggesting 1122 rotations a second. However, at present, this signal has only been seen once, and should be regarded as tentative until confirmed in another burst from that star.
Glitches and starquakes edit
Sometimes a neutron star will undergo a glitch, a sudden small increase of its rotational speed or spin up. Glitches are thought to be the effect of a starquake—as the rotation of the neutron star slows, its shape becomes more spherical. Due to the stiffness of the "neutron" crust, this happens as discrete events when the crust ruptures, creating a starquake similar to earthquakes. After the starquake, the star will have a smaller equatorial radius, and because angular momentum is conserved, its rotational speed has increased.
Recent work, however, suggests that a starquake would not release sufficient energy for a neutron star glitch; it has been suggested that glitches may instead be caused by transitions of vortices in the theoretical superfluid core of the neutron star from one metastable energy state to a lower one, thereby releasing energy that appears as an increase in the rotation rate.
An anti-glitch, a sudden small decrease in rotational speed, or spin down, of a neutron star has also been reported. It occurred in the magnetar 1E 2259+586, that in one case produced an X-ray luminosity increase of a factor of 20, and a significant spin-down rate change. Current neutron star models do not predict this behavior. If the cause were internal this suggests differential rotation of the solid outer crust and the superfluid component of the magnetar's inner structure.
Population and distances edit
At present, there are about 3,200 known neutron stars in the Milky Way and the Magellanic Clouds, the majority of which have been detected as radio pulsars. Neutron stars are mostly concentrated along the disk of the Milky Way, although the spread perpendicular to the disk is large because the supernova explosion process can impart high translational speeds (400 km/s) to the newly formed neutron star.
Some of the closest known neutron stars are RX J1856.5−3754, which is about 400 light-years from Earth, and PSR J0108−1431 about 424 light years. RX J1856.5-3754 is a member of a close group of neutron stars called The Magnificent Seven. Another nearby neutron star that was detected transiting the backdrop of the constellation Ursa Minor has been nicknamed Calvera by its Canadian and American discoverers, after the villain in the 1960 film The Magnificent Seven. This rapidly moving object was discovered using the ROSAT Bright Source Catalog.
Neutron stars are only detectable with modern technology during the earliest stages of their lives (almost always less than 1 million years) and are vastly outnumbered by older neutron stars that would only be detectable through their blackbody radiation and gravitational effects on other stars.
Binary neutron star systems edit
About 5% of all known neutron stars are members of a binary system. The formation and evolution of binary neutron stars and double neutron stars can be a complex process. Neutron stars have been observed in binaries with ordinary main-sequence stars, red giants, white dwarfs, or other neutron stars. According to modern theories of binary evolution, it is expected that neutron stars also exist in binary systems with black hole companions. The merger of binaries containing two neutron stars, or a neutron star and a black hole, has been observed through the emission of gravitational waves.
X-ray binaries edit
Binary systems containing neutron stars often emit X-rays, which are emitted by hot gas as it falls towards the surface of the neutron star. The source of the gas is the companion star, the outer layers of which can be stripped off by the gravitational force of the neutron star if the two stars are sufficiently close. As the neutron star accretes this gas, its mass can increase; if enough mass is accreted, the neutron star may collapse into a black hole.
Neutron star binary mergers and nucleosynthesis edit
The distance between two neutron stars in a close binary system is observed to shrink as gravitational waves are emitted. Ultimately, the neutron stars will come into contact and coalesce. The coalescence of binary neutron stars is one of the leading models for the origin of short gamma-ray bursts. Strong evidence for this model came from the observation of a kilonova associated with the short-duration gamma-ray burst GRB 130603B, and finally confirmed by detection of gravitational wave GW170817 and short GRB 170817A by LIGO, Virgo, and 70 observatories covering the electromagnetic spectrum observing the event. The light emitted in the kilonova is believed to come from the radioactive decay of material ejected in the merger of the two neutron stars. This material may be responsible for the production of many of the chemical elements beyond iron, as opposed to the supernova nucleosynthesis theory.
Neutron stars can host exoplanets. These can be original, circumbinary, captured, or the result of a second round of planet formation. Pulsars can also strip the atmosphere off from a star, leaving a planetary-mass remnant, which may be understood as a chthonian planet or a stellar object depending on interpretation. For pulsars, such pulsar planets can be detected with the pulsar timing method, which allows for high precision and detection of much smaller planets than with other methods. Two systems have been definitively confirmed. The first exoplanets ever to be detected were the three planets Draugr, Poltergeist and Phobetor around PSR B1257+12, discovered in 1992–1994. Of these, Draugr is the smallest exoplanet ever detected, at a mass of twice that of the Moon. Another system is PSR B1620−26, where a circumbinary planet orbits a neutron star-white dwarf binary system. Also, there are several unconfirmed candidates. Pulsar planets receive little visible light, but massive amounts of ionizing radiation and high-energy stellar wind, which makes them rather hostile environments to life as presently understood.
History of discoveries edit
At the meeting of the American Physical Society in December 1933 (the proceedings were published in January 1934), Walter Baade and Fritz Zwicky proposed the existence of neutron stars,[e] less than two years after the discovery of the neutron by James Chadwick. In seeking an explanation for the origin of a supernova, they tentatively proposed that in supernova explosions ordinary stars are turned into stars that consist of extremely closely packed neutrons that they called neutron stars. Baade and Zwicky correctly proposed at that time that the release of the gravitational binding energy of the neutron stars powers the supernova: "In the supernova process, mass in bulk is annihilated". Neutron stars were thought to be too faint to be detectable and little work was done on them until November 1967, when Franco Pacini pointed out that if the neutron stars were spinning and had large magnetic fields, then electromagnetic waves would be emitted. Unbeknownst to him, radio astronomer Antony Hewish and his graduate student Jocelyn Bell at Cambridge were shortly to detect radio pulses from stars that are now believed to be highly magnetized, rapidly spinning neutron stars, known as pulsars.
In 1965, Antony Hewish and Samuel Okoye discovered "an unusual source of high radio brightness temperature in the Crab Nebula". This source turned out to be the Crab Pulsar that resulted from the great supernova of 1054.
In 1967, Jocelyn Bell Burnell and Antony Hewish discovered regular radio pulses from PSR B1919+21. This pulsar was later interpreted as an isolated, rotating neutron star. The energy source of the pulsar is the rotational energy of the neutron star. The majority of known neutron stars (about 2000, as of 2010) have been discovered as pulsars, emitting regular radio pulses.
In 1968, Richard V. E. Lovelace and collaborators discovered period ms of the Crab pulsar using Arecibo Observatory. After this discovery, scientists concluded that pulsars were rotating neutron stars. Before that, many scientists believed that pulsars were pulsating white dwarfs.
In 1971, Riccardo Giacconi, Herbert Gursky, Ed Kellogg, R. Levinson, E. Schreier, and H. Tananbaum discovered 4.8 second pulsations in an X-ray source in the constellation Centaurus, Cen X-3. They interpreted this as resulting from a rotating hot neutron star. The energy source is gravitational and results from a rain of gas falling onto the surface of the neutron star from a companion star or the interstellar medium.
In 1974, Joseph Taylor and Russell Hulse discovered the first binary pulsar, PSR B1913+16, which consists of two neutron stars (one seen as a pulsar) orbiting around their center of mass. Albert Einstein's general theory of relativity predicts that massive objects in short binary orbits should emit gravitational waves, and thus that their orbit should decay with time. This was indeed observed, precisely as general relativity predicts, and in 1993, Taylor and Hulse were awarded the Nobel Prize in Physics for this discovery.
In 1982, Don Backer and colleagues discovered the first millisecond pulsar, PSR B1937+21. This object spins 642 times per second, a value that placed fundamental constraints on the mass and radius of neutron stars. Many millisecond pulsars were later discovered, but PSR B1937+21 remained the fastest-spinning known pulsar for 24 years, until PSR J1748-2446ad (which spins ~716 times a second) was discovered.
In 2003, Marta Burgay and colleagues discovered the first double neutron star system where both components are detectable as pulsars, PSR J0737−3039. The discovery of this system allows a total of 5 different tests of general relativity, some of these with unprecedented precision.
In 2010, Paul Demorest and colleagues measured the mass of the millisecond pulsar PSR J1614−2230 to be 1.97±0.04 M☉, using Shapiro delay. This was substantially higher than any previously measured neutron star mass (1.67 M☉, see PSR J1903+0327), and places strong constraints on the interior composition of neutron stars.
In 2013, John Antoniadis and colleagues measured the mass of PSR J0348+0432 to be 2.01±0.04 M☉, using white dwarf spectroscopy. This confirmed the existence of such massive stars using a different method. Furthermore, this allowed, for the first time, a test of general relativity using such a massive neutron star.
In October 2018, astronomers reported that GRB 150101B, a gamma-ray burst event detected in 2015, may be directly related to the historic GW170817 and associated with the merger of two neutron stars. The similarities between the two events, in terms of gamma ray, optical and x-ray emissions, as well as to the nature of the associated host galaxies, are "striking", suggesting the two separate events may both be the result of the merger of neutron stars, and both may be a kilonova, which may be more common in the universe than previously understood, according to the researchers.
In July 2019, astronomers reported that a new method to determine the Hubble constant, and resolve the discrepancy of earlier methods, has been proposed based on the mergers of pairs of neutron stars, following the detection of the neutron star merger of GW170817. Their measurement of the Hubble constant is 70.3+5.3
A 2020 study by University of Southampton PhD student Fabian Gittins suggested that surface irregularities ("mountains") may only be fractions of a millimeter tall (about 0.000003% of the neutron star's diameter), hundreds of times smaller than previously predicted, a result bearing implications for the non-detection of gravitational waves from spinning neutron stars.
There are a number of types of object that consist or contain a neutron star:
- Isolated neutron star (INS): not in a binary system.
- Rotation-powered pulsar (RPP or "radio pulsar"): neutron stars that emit directed pulses of radiation towards us at regular intervals (due to their strong magnetic fields).
- Magnetar: a neutron star with an extremely strong magnetic field (1000 times more than a regular neutron star), and long rotation periods (5 to 12 seconds).
- Radio-quiet neutron stars.
- X-ray pulsars or "accretion-powered pulsars": a class of X-ray binaries.
- Low-mass X-ray binary pulsars: a class of low-mass X-ray binaries (LMXB), a pulsar with a main sequence star, white dwarf or red giant.
- Millisecond pulsar (MSP) ("recycled pulsar").
- X-ray burster: a neutron star with a low mass binary companion from which matter is accreted resulting in irregular bursts of energy from the surface of the neutron star.
- Intermediate-mass X-ray binary pulsars: a class of intermediate-mass X-ray binaries (IMXB), a pulsar with an intermediate mass star.
- High-mass X-ray binary pulsars: a class of high-mass X-ray binaries (HMXB), a pulsar with a massive star.
- Binary pulsars: a pulsar with a binary companion, often a white dwarf or neutron star.
- X-ray tertiary (theorized).
- Low-mass X-ray binary pulsars: a class of low-mass X-ray binaries (LMXB), a pulsar with a main sequence star, white dwarf or red giant.
There are also a number of theorized compact stars with similar properties that are not actually neutron stars.
- Protoneutron star (PNS), theorized
- Exotic star
- Thorne–Żytkow object: currently a hypothetical merger of a neutron star into a red giant star.
- Quark star: currently a hypothetical type of neutron star composed of quark matter, or strange matter. As of 2018, there are three candidates.
- Electroweak star: currently a hypothetical type of extremely heavy neutron star, in which the quarks are converted to leptons through the electroweak force, but the gravitational collapse of the neutron star is prevented by radiation pressure. As of 2018, there is no evidence for their existence.
- Preon star: currently a hypothetical type of neutron star composed of preon matter. As of 2018, there is no evidence for the existence of preons.
Examples of neutron stars edit
- Black Widow Pulsar – a millisecond pulsar that is very massive
- PSR J0952-0607 – the heaviest neutron star with 2.35+0.17
−0.17 M☉, a type of Black Widow Pulsar
- LGM-1 (now known as PSR B1919+21) – the first recognized radio-pulsar. It was discovered by Jocelyn Bell Burnell in 1967.
- PSR B1257+12 – the first neutron star discovered with planets (a millisecond pulsar).
- PSR B1509−58 – source of the "Hand of God" photo shot by the Chandra X-ray Observatory
- RX J1856.5−3754 – the closest neutron star
- The Magnificent Seven – a group of nearby, X-ray dim isolated neutron stars
- PSR J0348+0432 – the most massive neutron star with a well-constrained mass, 2.01±0.04 M☉
- SWIFT J1756.9-2508 – a millisecond pulsar with a stellar-type companion with planetary range mass (below brown dwarf)
- Swift J1818.0-1607 – the youngest-known magnetar
Neutron stars containing 500,000 Earth-masses in 25-kilometer-diameter (16 mi) sphere
Neutron star collision
Artist's impression of a neutron star bending light
See also edit
- A 10 M☉ star will collapse into a black hole.
- 3.7×1017 kg/m3 derives from mass 2.68×1030 kg / volume of star of radius 12 km; 5.9×1017 kg/m3 derives from mass 4.2×1030 kg per volume of star radius 11.9 km
- The average density of material in a neutron star of radius 10 km is 1.1×1012 kg/cm3. Therefore, 5 ml of such material is 5.5×1012 kg, or 5,500,000,000 metric tons. This is about 15 times the total mass of the human world population. Alternatively, 5 ml from a neutron star of radius 20 km radius (average density 8.35×1010 kg/cm3) has a mass of about 400 million metric tons, or about the mass of all humans. The gravitational field is ca. 2×1011g or ca. 2×1012 N/kg. Moon weight is calculated at 1g.
- Magnetic energy density for a field B is U = μ0 B2⁄2 . Substituting B = 108 T , get U = 4×1021 J/m3 . Dividing by c2 one obtains the equivalent mass density of 44500 kg/m3, which exceeds the standard temperature and pressure density of all known materials. Compare with 22590 kg/m3 for osmium, the densest stable element.
- Even before the discovery of neutron, in 1931, neutron stars were anticipated by Lev Landau, who wrote about stars where "atomic nuclei come in close contact, forming one gigantic nucleus". However, the widespread opinion that Landau predicted neutron stars proves to be wrong.
- Heger, A.; Fryer, C. L.; Woosley, S. E.; Langer, N.; Hartmann, D. H. (2003). "How Massive Single Stars End Their Life". Astrophysical Journal. 591 (1): 288–300. arXiv:astro-ph/0212469. Bibcode:2003ApJ...591..288H. doi:10.1086/375341. S2CID 59065632.
- Glendenning, Norman K. (2012). Compact Stars: Nuclear Physics, Particle Physics and General Relativity (illustrated ed.). Springer Science & Business Media. p. 1. ISBN 978-1-4684-0491-3. Archived from the original on 2017-01-31. Retrieved 2016-03-21.
- Seeds, Michael; Backman, Dana (2009). Astronomy: The Solar System and Beyond (6th ed.). Cengage Learning. p. 339. ISBN 978-0-495-56203-0. Archived from the original on 2021-02-06. Retrieved 2018-02-22.
- Tolman, R. C. (1939). "Static Solutions of Einstein's Field Equations for Spheres of Fluid" (PDF). Physical Review. 55 (4): 364–373. Bibcode:1939PhRv...55..364T. doi:10.1103/PhysRev.55.364. Archived (PDF) from the original on 2018-07-22. Retrieved 2019-06-30.
- Oppenheimer, J. R.; Volkoff, G. M. (1939). "On Massive Neutron Cores". Physical Review. 55 (4): 374–381. Bibcode:1939PhRv...55..374O. doi:10.1103/PhysRev.55.374.
- "Neutron Stars" (PDF). www.astro.princeton.edu. Archived (PDF) from the original on 9 September 2021. Retrieved 14 December 2018.
- Douchin, F.; Haensel, P. (December 2001). "A unified equation of state of dense matter and neutron star structure". Astronomy & Astrophysics. 380 (1): 151–167. arXiv:astro-ph/0111092. Bibcode:2001A&A...380..151D. doi:10.1051/0004-6361:20011402. ISSN 0004-6361. S2CID 17516814.
- Croswell, Ken (2022-07-22). "The heaviest neutron star on record is 2.35 times the mass of the sun". Science News. Retrieved 2022-07-25.
- "Q&A: Supernova Remnants and Neutron Stars", Chandra.harvard.edu (September 5, 2008)
- "Magnetic Hydrogen Atmosphere Models and the Neutron Star RX J1856.5−3754" (PDF), Wynn C. G. Ho et al., Monthly Notices of the Royal Astronomical Society, 375, pp. 821-830 (2007), submitted December 6, 2006, ArXiv:astro-ph/0612145. The authors calculated what they considered to be "a more realistic model, which accounts for magnetic field and temperature variations over the neutron star surface as well as general relativistic effects," which yielded an average surface temperature of 4.34+0.02
−0.06×105 K at a confidence level of 2𝜎 (95%); see §4, Fig. 6 in their paper for details.
- "The Sun is less active than other solar-like stars" (PDF), Timo Reinhold et al., ArXiv:astro-ph.SR (May 4, 2020) ArXiv:2005.01401
- "Tour the ASM Sky". heasarc.gsfc.nasa.gov. Archived from the original on 2021-10-01. Retrieved 2016-05-23.
- "Density of the Earth". 2009-03-10. Archived from the original on 2013-11-12. Retrieved 2016-05-23.
- Hessels, Jason; Ransom, Scott M.; Stairs, Ingrid H.; Freire, Paulo C. C.; et al. (2006). "A Radio Pulsar Spinning at 716 Hz". Science. 311 (5769): 1901–1904. arXiv:astro-ph/0601337. Bibcode:2006Sci...311.1901H. CiteSeerX 10.1.1.257.5174. doi:10.1126/science.1123430. PMID 16410486. S2CID 14945340.
- Naeye, Robert (2006-01-13). "Spinning Pulsar Smashes Record". Sky & Telescope. Archived from the original on 2007-12-29. Retrieved 2008-01-18.
- "NASA.gov". Archived from the original on 2018-09-08. Retrieved 2020-08-05.
- Camenzind, Max (24 February 2007). Compact Objects in Astrophysics: White Dwarfs, Neutron Stars and Black Holes. Springer Science & Business Media. p. 269. Bibcode:2007coaw.book.....C. ISBN 978-3-540-49912-1. Archived from the original on 29 April 2021. Retrieved 6 September 2017.
- Abbott, B. P.; Abbott, R.; Abbott, T. D.; Acernese, F.; Ackley, K.; Adams, C.; Adams, T.; Addesso, P.; Richard; Howard; Adhikari, R. X.; Huang-Wei (2017). "Multi-messenger Observations of a Binary Neutron Star Merger". The Astrophysical Journal Letters. 848 (2): L12. arXiv:1710.05833. Bibcode:2017ApJ...848L..12A. doi:10.3847/2041-8213/aa91c9. S2CID 217162243.
- Bombaci, I. (1996). "The Maximum Mass of a Neutron Star". Astronomy and Astrophysics. 305: 871–877. Bibcode:1996A&A...305..871B.
- Bally, John; Reipurth, Bo (2006). The Birth of Stars and Planets (illustrated ed.). Cambridge University Press. p. 207. ISBN 978-0-521-80105-8. Archived from the original on 2017-01-31. Retrieved 2016-06-30.
- Haensel, Paweł; Potekhin, Alexander Y.; Yakovlev, Dmitry G. (2007). Neutron Stars. Springer. ISBN 978-0-387-33543-8.
- "The Remarkable Properties of Neutron Stars - Fresh Chandra News". ChandraBlog. 2013-03-28. Retrieved 2022-05-16.
- Suwa, Yudai; Yoshida, Takashi; Shibata, Masaru; Umeda, Hideyuki; Takahashi, Koh (2018). "On the Mass Distribution and Birth Masses of Neutron Stars". Monthly Notices of the Royal Astronomical Society. 481 (3): 3305–3312. arXiv:1808.02328. doi:10.1093/mnras/sty2460.
- Özel, Feryal; Psaltis, Dimitrios; Narayan, Ramesh; Santos Villarreal, Antonio (September 2012). "On the Mass Distribution and Birth Masses of Neutron Stars". The Astrophysical Journal. 757 (1): 13. arXiv:1201.1006. Bibcode:2012ApJ...757...55O. doi:10.1088/0004-637X/757/1/55. S2CID 119120778.
- Chamel, N.; Haensel, Paweł; Zdunik, J. L.; Fantina, A. F. (19 November 2013). "On the Maximum Mass of Neutron Stars". International Journal of Modern Physics. 1 (28): 1330018. arXiv:1307.3995. Bibcode:2013IJMPE..2230018C. doi:10.1142/S021830131330018X. S2CID 52026378.
- Rezzolla, Luciano; Most, Elias R.; Weih, Lukas R. (2018). "Using Gravitational-wave Observations and Quasi-universal Relations to Constrain the Maximum Mass of Neutron Stars". The Astrophysical Journal. 852 (2): L25. arXiv:1711.00314. Bibcode:2018ApJ...852L..25R. doi:10.3847/2041-8213/aaa401. S2CID 119359694.
- Cromartie, H.T.; Fonseca, E.; Ransom, S.M.; Demorest, P.B.; Arzoumanian, Z.; Blumer, H.; Brook, P.R.; DeCesar, M.E.; Dolch, T. (2019-09-16). "Relativistic Shapiro delay measurements of an extremely massive millisecond pulsar". Nature Astronomy. 4: 72–76. arXiv:1904.06759. Bibcode:2020NatAs...4...72C. doi:10.1038/s41550-019-0880-2. ISSN 2397-3366. S2CID 118647384.
- "Black holes". Goddard Space Flight Center (GSFC). National Aeronautics and Space Administration (NASA). Archived from the original on 2014-10-29. Retrieved 2010-06-23.
- Lattimer, James M. (2015). "Introduction to neutron stars". American Institute of Physics Conference Series. AIP Conference Proceedings. 1645 (1): 61–78. Bibcode:2015AIPC.1645...61L. doi:10.1063/1.4909560.
- Yakovlev, D. G.; Kaminker, A. D.; Haensel, P.; Gnedin, O. Y. (2002). "The cooling neutron star in 3C 58". Astronomy & Astrophysics. 389: L24–L27. arXiv:astro-ph/0204233. Bibcode:2002A&A...389L..24Y. doi:10.1051/0004-6361:20020699. S2CID 6247160.
- "Calculating a Neutron Star's Density". Archived from the original on 2006-02-24. Retrieved 2006-03-11. NB 3×1017 kg/m3 is 3×1014 g/cm3
- Ozel, Feryal; Freire, Paulo (2016). "Masses, Radii, and the Equation of State of Neutron Stars". Annu. Rev. Astron. Astrophys. 54 (1): 401–440. arXiv:1603.02698. Bibcode:2016ARA&A..54..401O. doi:10.1146/annurev-astro-081915-023322. S2CID 119226325.
- "quantum wave-particle duality: Topics by Science.gov". www.science.gov. Retrieved 2023-06-10.
- Yazadjiev, Stoytcho S.; Doneva, Daniela D.; Kokkotas, Kostas D. (October 2018). "Tidal Love numbers of neutron stars in f(R) gravity". The European Physical Journal C. 78 (10): 818. arXiv:1803.09534. Bibcode:2018EPJC...78..818Y. doi:10.1140/epjc/s10052-018-6285-z. PMC 6244867. PMID 30524193.
- Hinderer, Tanja; Lackey, Benjamin D.; Lang, Ryan N.; Read, Jocelyn S. (2010). "Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral". Physical Review D. 81 (12): 123016. arXiv:0911.3535. Bibcode:2010PhRvD..81l3016H. doi:10.1103/PhysRevD.81.123016. S2CID 14819350.
- Baym, G; Pethick, C (December 1975). "Neutron Stars". Annual Review of Nuclear Science. 25 (1): 27–77. Bibcode:1975ARNPS..25...27B. doi:10.1146/annurev.ns.25.120175.000331. ISSN 0066-4243.
- Reisenegger, A. (2003). "Origin and Evolution of Neutron Star Magnetic Fields". arXiv:astro-ph/0307133.
- "McGill SGR/AXP Online Catalog". Archived from the original on 23 July 2020. Retrieved 2 Jan 2014.
- Kouveliotou, Chryssa; Duncan, Robert C.; Thompson, Christopher (February 2003). "Magnetars". Scientific American. 288 (2): 34–41. Bibcode:2003SciAm.288b..34K. doi:10.1038/scientificamerican0203-34. PMID 12561456.
- Kaspi, V.M.; Gavriil, F.P. (2004). "(Anomalous) X-ray pulsars". Nuclear Physics B. Proceedings Supplements. 132: 456–465. arXiv:astro-ph/0402176. Bibcode:2004NuPhS.132..456K. doi:10.1016/j.nuclphysbps.2004.04.080. S2CID 15906305.
- "Eric Weisstein's World of Physics". scienceworld.wolfram.com. Archived from the original on 2019-04-23.
- Duncan, Robert C. (March 2003). "'Magnetars', soft gamma repeaters & very strong magnetic fields". Archived from the original on 2020-01-19. Retrieved 2018-04-17.
- Zahn, Corvin (1990-10-09). "Tempolimit Lichtgeschwindigkeit" (in German). Archived from the original on 2021-01-26. Retrieved 2009-10-09.
Durch die gravitative Lichtablenkung ist mehr als die Hälfte der Oberfläche sichtbar. Masse des Neutronensterns: 1, Radius des Neutronensterns: 4, ... dimensionslosen Einheiten (c, G = 1)
- Green, Simon F.; Jones, Mark H.; Burnell, S. Jocelyn (2004). An Introduction to the Sun and Stars (illustrated ed.). Cambridge University Press. p. 322. ISBN 978-0-521-54622-5. Archived from the original on 2017-01-31. Retrieved 2016-06-09.
- "Peligroso lugar para jugar tenis". Datos Freak (in Spanish). Archived from the original on 11 June 2016. Retrieved 3 June 2016.
- Marcia Bartusiak (2015). Black Hole: How an Idea Abandoned by Newtonians, Hated by Einstein, and Gambled on by Hawking Became Loved. Yale University Press. p. 130. ISBN 978-0-300-21363-8.
- Neutron Star Masses and Radii Archived 2011-12-17 at the Wayback Machine, p. 9/20, bottom
- Hessels, Jason W. T; Ransom, Scott M; Stairs, Ingrid H; Freire, Paulo C. C; Kaspi, Victoria M; Camilo, Fernando (2001). "Neutron Star Structure and the Equation of State". The Astrophysical Journal. 550 (426): 426–442. arXiv:astro-ph/0002232. Bibcode:2001ApJ...550..426L. doi:10.1086/319702. S2CID 14782250.
- CODATA 2014
- NASA. Neutron Star Equation of State Science Retrieved 2011-09-26
- Beskin, Vasilii S. (1999). "Radio pulsars". Physics-Uspekhi. 42 (11): 1173–1174. Bibcode:1999PhyU...42.1071B. doi:10.1070/pu1999v042n11ABEH000665. S2CID 250831196.
- Darling, David. "neutron star". www.daviddarling.info. Archived from the original on 2009-01-24. Retrieved 2009-01-12.
- Baker, Harry (21 July 2021). "Neutron star 'mountains' are actually microscopic bumps less than a millimeter tall". Live Science. Archived from the original on 25 July 2021. Retrieved 25 July 2021.
- Pons, José A.; Viganò, Daniele; Rea, Nanda (2013). "Too much "pasta" for pulsars to spin down". Nature Physics. 9 (7): 431–434. arXiv:1304.6546. Bibcode:2013NatPh...9..431P. doi:10.1038/nphys2640. S2CID 119253979.
- Condon, J. J. & Ransom, S. M. "Pulsar Properties (Essential radio Astronomy)". National Radio Astronomy Observatory. Archived from the original on 10 April 2016. Retrieved 24 March 2016.
- Pavlov, George. "X-ray Properties of Rotation Powered Pulsars and Thermally Emitting Neutron Stars" (PDF). pulsarastronomy.net. Archived (PDF) from the original on 6 December 2015. Retrieved 6 April 2016.
- Caleb, Manisha; Heywood, Ian; Rajwade, Kaustubh; Malenta, Mateusz; Willem Stappers, Benjamin; Barr, Ewan; Chen, Weiwei; Morello, Vincent; Sanidas, Sotiris; van den Eijnden, Jakob; Kramer, Michael (2022-05-30). "Discovery of a radio-emitting neutron star with an ultra-long spin period of 76 s". Nature Astronomy. 6 (7): 828–836. arXiv:2206.01346. Bibcode:2022NatAs...6..828C. doi:10.1038/s41550-022-01688-x. ISSN 2397-3366. PMC 7613111. PMID 35880202. S2CID 249212424.
- "Unusual neutron star discovered in stellar graveyard". The University of Sydney. Retrieved 2022-06-01.
- De Luca, Andrea (2008). "Central Compact Objects in Supernova Remnants". AIP Conference Proceedings. 983: 311–319. arXiv:0712.2209. Bibcode:2008AIPC..983..311D. CiteSeerX 10.1.1.769.699. doi:10.1063/1.2900173. S2CID 118470472.
- Klochkov, D.; Puehlhofer, G.; Suleimanov, V.; Simon, S.; Werner, K.; Santangelo, A. (2013). "A non-pulsating neutron star in the supernova remnant HESS J1731-347 / G353.6–0.7 with a carbon atmosphere". Astronomy & Astrophysics. 556: A41. arXiv:1307.1230. Bibcode:2013A&A...556A..41K. doi:10.1051/0004-6361/201321740. S2CID 119184617.
- "7. Pulsars at Other Wavelengths". Frontiers of Modern Astronomy. Jodrell Bank Centre for Astrophysics. Archived from the original on 10 April 2016. Retrieved 6 April 2016.
- Brazier, K. T. S. & Johnston, S. (August 2013). "The implications of radio-quiet neutron stars". Monthly Notices of the Royal Astronomical Society. 305 (3): 671. arXiv:astro-ph/9803176. Bibcode:1999MNRAS.305..671B. doi:10.1046/j.1365-8711.1999.02490.x. S2CID 6777734.
- Zhang, B. "Spin-Down Power of Magnetars" (PDF). Universidade Federal do Rio Grande do Sul. Archived (PDF) from the original on 6 February 2021. Retrieved 24 March 2016.
- Hessels, Jason W. T; Ransom, Scott M; Stairs, Ingrid H; Freire, Paulo C. C; Kaspi, Victoria M; Camilo, Fernando (2006). "A Radio Pulsar Spinning at 716 Hz". Science. 311 (5769): 1901–1904. arXiv:astro-ph/0601337. Bibcode:2006Sci...311.1901H. CiteSeerX 10.1.1.257.5174. doi:10.1126/science.1123430. PMID 16410486. S2CID 14945340.
- Kaaret, P.; Prieskorn, Z.; Zand, J. J. M. in 't; Brandt, S.; Lund, N.; Mereghetti, S.; Götz, D.; Kuulkers, E.; Tomsick, J. A. (2007). "Evidence of 1122 Hz X-Ray Burst Oscillations from the Neutron Star X-Ray Transient XTE J1739-285". The Astrophysical Journal. 657 (2): L97–L100. arXiv:astro-ph/0611716. Bibcode:2007ApJ...657L..97K. doi:10.1086/513270. ISSN 0004-637X. S2CID 119405361.
- Alpar, M. Ali (1 January 1998). "Pulsars, glitches and superfluids". Physicsworld.com. Archived from the original on 6 December 2008. Retrieved 12 January 2009.
- Archibald, R. F.; Kaspi, V. M.; Ng, C. Y.; Gourgouliatos, K. N.; Tsang, D.; Scholz, P.; Beardmore, A. P.; Gehrels, N.; Kennea, J. A. (2013). "An anti-glitch in a magnetar". Nature. 497 (7451): 591–593. arXiv:1305.6894. Bibcode:2013Natur.497..591A. doi:10.1038/nature12159. hdl:10722/186148. PMID 23719460. S2CID 4382559.
- Posselt, B.; Neuhäuser, R.; Haberl, F. (March 2009). "Searching for substellar companions of young isolated neutron stars". Astronomy and Astrophysics. 496 (2): 533–545. arXiv:0811.0398. Bibcode:2009A&A...496..533P. doi:10.1051/0004-6361/200810156. S2CID 10639250.
- Tauris, T. M.; Van Den Heuvel, E. P. J. (2006). Formation and evolution of compact stellar X-ray sources. Bibcode:2006csxs.book..623T.
Fig. 16.4. Illustration of the relative distribution of all ~ 1500 radio pulsars observed. About 4% are members of a binary system.
- Tauris, T. M.; Kramer, M.; Freire, P. C. C.; Wex, N.; Janka, H.-T.; Langer, N.; Podsiadlowski, Ph.; Bozzo, E.; Chaty, S.; Kruckow, M. U.; Heuvel, E. P. J. van den; Antoniadis, J.; Breton, R. P.; Champion, D. J. (13 September 2017). "Formation of Double Neutron Star Systems". The Astrophysical Journal. 846 (2): 170. arXiv:1706.09438. Bibcode:2017ApJ...846..170T. doi:10.3847/1538-4357/aa7e89. eISSN 1538-4357. S2CID 119471204.
- Abbott, B. P.; Abbott, R.; Abbott, T. D.; Acernese, F.; Ackley, K.; et al. (LIGO Scientific Collaboration and Virgo Collaboration) (2017-10-16). "GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral". Physical Review Letters. American Physical Society (APS). 119 (16): 161101. arXiv:1710.05832. Bibcode:2017PhRvL.119p1101A. doi:10.1103/physrevlett.119.161101. ISSN 0031-9007. PMID 29099225.
- Abbott, B. P.; Abbott, R.; Abbott, T. D.; Abernathy, M. R.; Acernese, F.; et al. (LIGO Scientific Collaboration and Virgo Collaboration) (2016-02-11). "Observation of Gravitational Waves from a Binary Black Hole Merger". Physical Review Letters. 116 (6): 1161102. arXiv:1602.03837. Bibcode:2016PhRvL.116f1102A. doi:10.1103/physrevlett.116.061102. ISSN 0031-9007. PMID 26918975.
- Lewin, Walter; Van Der Klis, Michiel (2010). Compact Stellar X-ray Sources. Bibcode:2010csxs.book.....L.
- Taylor, J. H.; Weisberg, J. M. (15 February 1982). "A new test of general relativity – Gravitational radiation and the binary pulsar PSR 1913+16". The Astrophysical Journal. 253: 908. Bibcode:1982ApJ...253..908T. doi:10.1086/159690.
- Tanvir, N.; Levan, A. J.; Fruchter, A. S.; Hjorth, J.; Hounsell, R. A.; Wiersema, K.; Tunnicliffe, R. L. (2013). "A 'kilonova' associated with the short-duration gamma-ray burst GRB 130603B". Nature. 500 (7464): 547–549. arXiv:1306.4971. Bibcode:2013Natur.500..547T. doi:10.1038/nature12505. PMID 23912055. S2CID 205235329.
- Cho, Adrian (16 October 2017). "Merging neutron stars generate gravitational waves and a celestial light show". Science. Archived from the original on 18 October 2017. Retrieved 16 October 2017.
- Overbye, Dennis (16 October 2017). "LIGO Detects Fierce Collision of Neutron Stars for the First Time". The New York Times. Archived from the original on 16 October 2017. Retrieved 16 October 2017.
- Casttelvecchi, Davide (2017). "Rumours swell over new kind of gravitational-wave sighting". Nature News. doi:10.1038/nature.2017.22482.
- Abbott, B. P.; et al. (LIGO Scientific Collaboration & Virgo Collaboration) (16 October 2017). "GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral". Physical Review Letters. 119 (16): 161101. arXiv:1710.05832. Bibcode:2017PhRvL.119p1101A. doi:10.1103/PhysRevLett.119.161101. PMID 29099225. S2CID 217163611.
- Urry, Meg (July 20, 2013). "Gold comes from stars". CNN. Archived from the original on July 22, 2017. Retrieved July 20, 2013.
- "Gemini Telescopes Help Uncover Origins of Castaway Gamma-Ray Bursts". Retrieved 16 December 2022.
- Baade, Walter & Zwicky, Fritz (1934). "Remarks on Super-Novae and Cosmic Rays" (PDF). Physical Review. 46 (1): 76–77. Bibcode:1934PhRv...46...76B. doi:10.1103/PhysRev.46.76.2. Archived (PDF) from the original on 2021-02-24. Retrieved 2019-09-16.
- Landau, Lev D. (1932). "On the theory of stars". Phys. Z. Sowjetunion. 1: 285–288.
- Haensel, P; Potekhin, A. Y; Yakovlev, D. G, eds. (2007). Neutron Stars 1 : Equation of State and Structure. Astrophysics and Space Science Library. Vol. 326. Springer. Bibcode:2007ASSL..326.....H. ISBN 978-0387335438.
- Chadwick, James (1932). "On the possible existence of a neutron". Nature. 129 (3252): 312. Bibcode:1932Natur.129Q.312C. doi:10.1038/129312a0. S2CID 4076465.
- Hewish, A. & Okoye, S. E. (1965). "Evidence of an unusual source of high radio brightness temperature in the Crab Nebula". Nature. 207 (4992): 59–60. Bibcode:1965Natur.207...59H. doi:10.1038/207059a0. S2CID 123416790.
- Shklovsky, I. S. (April 1967). "On the Nature of the Source of X-Ray Emission of SCO XR-1". Astrophysical Journal. 148 (1): L1–L4. Bibcode:1967ApJ...148L...1S. doi:10.1086/180001.
- Comella, J. M.; Craft, H. D.; Lovelace, R. V. E.; Sutton, J. M. (1969). "Crab Nebula Pulsar NP 0532". Nature. 221 (5179): 453. Bibcode:1969Natur.221..453C. doi:10.1038/221453a0. S2CID 4213758.
- Lovelace, R. V. E.; Sutton, J. M. (1969). "Digital Search Methods for Pulsars". Nature. 222 (5190): 231. Bibcode:1969Natur.222..231L. doi:10.1038/222231a0. S2CID 4294389.
- Lovelace, R. V. E.; Tyler, G. L. (2012). "On the discovery of the period of the Crab Nebular pulsar". The Observatory. 132 (3): 186. Bibcode:2012Obs...132..186L.
- Ghosh, Pranab (2007). Rotation and Accretion Powered Pulsars (illustrated ed.). World Scientific. p. 8. ISBN 978-981-02-4744-7. Archived from the original on 2021-02-06. Retrieved 2016-11-29.
- Lang, Kenneth (2007). A Companion to Astronomy and Astrophysics: Chronology and Glossary with Data Tables (illustrated ed.). Springer Science & Business Media. p. 82. ISBN 978-0-387-33367-0. Archived from the original on 2021-02-06. Retrieved 2016-11-29.
- Haensel, Paweł; Potekhin, Alexander Y.; Yakovlev, Dmitry G. (2007). Neutron Stars 1: Equation of State and Structure (illustrated ed.). Springer Science & Business Media. p. 474. ISBN 978-0-387-47301-7. Archived from the original on 2021-02-06. Retrieved 2016-11-29.
- Graham-Smith, Francis (2006). Pulsar Astronomy (illustrated ed.). Cambridge University Press. p. 11. ISBN 978-0-521-83954-9. Archived from the original on 2021-02-06. Retrieved 2016-11-29.
- Ghosh, Pranab (2007). Rotation and Accretion Powered Pulsars (illustrated ed.). World Scientific. p. 281. ISBN 978-981-02-4744-7. Archived from the original on 2021-02-06. Retrieved 2016-11-29.
- Demorest, Paul B.; Pennucci, T.; Ransom, S. M.; Roberts, M. S.; Hessels, J. W. (2010). "A two-solar-mass neutron star measured using Shapiro delay". Nature. 467 (7319): 1081–1083. arXiv:1010.5788. Bibcode:2010Natur.467.1081D. doi:10.1038/nature09466. PMID 20981094. S2CID 205222609.
- Antoniadis, John (2012). "A Massive Pulsar in a Compact Relativistic Binary". Science. 340 (6131): 1233232. arXiv:1304.6875. Bibcode:2013Sci...340..448A. CiteSeerX 10.1.1.769.4180. doi:10.1126/science.1233232. PMID 23620056. S2CID 15221098.
- Burtnyk, Kimberly M. (16 October 2017). "LIGO Detection of Colliding Neutron Stars Spawns Global Effort to Study the Rare Event". Archived from the original on 23 October 2017. Retrieved 17 November 2017.
- University of Maryland (16 October 2018). "All in the family: Kin of gravitational wave source discovered - New observations suggest that kilonovae -- immense cosmic explosions that produce silver, gold and platinum--may be more common than thought". EurekAlert!. Archived from the original on 16 October 2018. Retrieved 17 October 2018.
- Troja, E.; et al. (16 October 2018). "A luminous blue kilonova and an off-axis jet from a compact binary merger at z = 0.1341". Nature Communications. 9 (4089 (2018)): 4089. arXiv:1806.10624. Bibcode:2018NatCo...9.4089T. doi:10.1038/s41467-018-06558-7. PMC 6191439. PMID 30327476.
- Mohon, Lee (16 October 2018). "GRB 150101B: A Distant Cousin to GW170817". NASA. Archived from the original on 22 March 2019. Retrieved 17 October 2018.
- Wall, Mike (17 October 2018). "Powerful Cosmic Flash Is Likely Another Neutron-Star Merger". Space.com. Archived from the original on 17 October 2018. Retrieved 17 October 2018.
- National Radio Astronomy Observatory (8 July 2019). "New method may resolve difficulty in measuring universe's expansion - Neutron star mergers can provide new 'cosmic ruler'". EurekAlert!. Archived from the original on 8 July 2019. Retrieved 8 July 2019.
- Finley, Dave (8 July 2019). "New Method May Resolve Difficulty in Measuring Universe's Expansion". National Radio Astronomy Observatory. Archived from the original on 8 July 2019. Retrieved 8 July 2019.
- Hotokezaka, K.; et al. (8 July 2019). "A Hubble constant measurement from superluminal motion of the jet in GW170817". Nature Astronomy. 3 (10): 940–944. arXiv:1806.10596. Bibcode:2019NatAs...3..940H. doi:10.1038/s41550-019-0820-1. S2CID 119547153.
- Plait, Phil (23 July 2021). "The tallest mountain on a neutron star may be a fraction of a millimeter tall". Syfy. Archived from the original on 25 July 2021. Retrieved 25 July 2021.
- Gittins, Fabian; Andersson, Nils (2021). "Modelling neutron star mountains in relativity". Monthly Notices of the Royal Astronomical Society. 507 (stab2048): 116–128. arXiv:2105.06493. doi:10.1093/mnras/stab2048.
- Mereghetti, Sandro (April 2010). "X-ray emission from isolated neutron stars". High-Energy Emission from Pulsars and their Systems. Astrophysics and Space Science Proceedings. Vol. 21. pp. 345–363. arXiv:1008.2891. Bibcode:2011ASSP...21..345M. doi:10.1007/978-3-642-17251-9_29. ISBN 978-3-642-17250-2. S2CID 117102095.
- Pavlov, G. G.; Zavlin, V. E. (2000). "Thermal Radiation from Isolated Neutron Stars". Highly Energetic Physical Processes and Mechanisms for Emission from Astrophysical Plasmas. 195: 103. Bibcode:2000IAUS..195..103P.
- Parent, E.; Kaspi, V. M.; Ransom, S. M.; Freire, P. C. C.; Brazier, A.; Camilo, F.; Chatterjee, S.; Cordes, J. M.; Crawford, F.; Deneva, J. S.; Ferdman, R. D.; Hessels, J. W. T.; Van Leeuwen, J.; Lyne, A. G.; Madsen, E. C.; McLaughlin, M. A.; Patel, C.; Scholz, P.; Stairs, I. H.; Stappers, B. W.; Zhu, W. W. (2019). "Eight Millisecond Pulsars Discovered in the Arecibo PALFA Survey". The Astrophysical Journal. 886 (2): 148. arXiv:1908.09926. Bibcode:2019ApJ...886..148P. doi:10.3847/1538-4357/ab4f85. S2CID 201646167.
- Nakamura, T. (1989). "Binary Sub-Millisecond Pulsar and Rotating Core Collapse Model for SN1987A". Progress of Theoretical Physics. 81 (5): 1006–1020. Bibcode:1989PThPh..81.1006N. doi:10.1143/PTP.81.1006.
- Di Stefano, Rosanne (2020). "The dynamical Roche lobe in hierarchical triples". Monthly Notices of the Royal Astronomical Society. 491 (1): 495. arXiv:1903.11618. Bibcode:2020MNRAS.491..495D. doi:10.1093/mnras/stz2572.
- Thompson, Todd A.; Burrows, Adam; Meyer, Bradley S. (2001). "The Physics of Proto-Neutron Star Winds: Implications for r-Process Nucleosynthesis". The Astrophysical Journal. 562 (2): 887. arXiv:astro-ph/0105004. Bibcode:2001ApJ...562..887T. doi:10.1086/323861. S2CID 117093903.
- Romani, Roger W.; Kandel, D.; Filippenko, Alexei V.; Brink, Thomas G.; Zheng, WeiKang (2022-07-11). "PSR J0952−0607: The Fastest and Heaviest Known Galactic Neutron Star". The Astrophysical Journal Letters. 934 (2): L17. arXiv:2207.05124. Bibcode:2022ApJ...934L..17R. doi:10.3847/2041-8213/ac8007. S2CID 250451299.
- "The following points are made by R.N. Manchester (Science 2004 304:542)". scienceweek.com. Astrophysics: On observed pulsars. 2004. Archived from the original on 14 July 2007. Retrieved 6 August 2004.
- Glendenning, Norman K.; Kippenhahn, R.; Appenzeller, I.; Borner, G.; Harwit, M. (2000). Compact Stars (2nd ed.).
- Kaaret, P.; Prieskorn, Z.; in 't Zand, J.J.M.; Brandt, S.; Lund, N.; Mereghetti, S.; et al. (2006). "Evidence for 1122 Hz X-ray burst oscillations from the neutron-star X-ray transient XTE J1739-285". The Astrophysical Journal. 657 (2): L97. arXiv:astro-ph/0611716. Bibcode:2007ApJ...657L..97K. doi:10.1086/513270. S2CID 119405361.
- Hessels, Jason W. T; Ransom, Scott M; Stairs, Ingrid H; Freire, Paulo C. C; Kaspi, Victoria M; Camilo, Fernando (2003). "Neutron Stars for Undergraduates". American Journal of Physics. 72 (2004): 892–905. arXiv:nucl-th/0309041. Bibcode:2004AmJPh..72..892S. doi:10.1119/1.1703544. S2CID 27807404.
- NASA on pulsars
- "NASA Sees Hidden Structure Of Neutron Star In Starquake". SpaceDaily.com. April 26, 2006
- "Mysterious X-ray sources may be lone neutron stars" David Shiga. New Scientist. 23 June 2006
- "Massive neutron star rules out exotic matter". New Scientist. According to a new analysis, exotic states of matter such as free quarks or BECs do not arise inside neutron stars.
- "Neutron star clocked at mind-boggling velocity". New Scientist. A neutron star has been clocked traveling at more than 1500 kilometers per second.