Weyl−Lewis−Papapetrou coordinates

In general relativity, the Weyl−Lewis−Papapetrou coordinates are a set of coordinates, used in the solutions to the vacuum region surrounding an axisymmetric distribution of mass–energy. They are named for Hermann Weyl, T. Lewis, and Achilles Papapetrou.[1][2][3]


The square of the line element is of the form:[4]


where (tρϕz) are the cylindrical Weyl−Lewis−Papapetrou coordinates in 3 + 1 spacetime, and λ, ν, ω, and B, are unknown functions of the spatial non-angular coordinates ρ and z only. Different authors define the functions of the coordinates differently.

See alsoEdit


  1. ^ Weyl, H., "Zur Gravitationstheorie," Ann. der Physik 54 (1917), 117–145.
  2. ^ T. Lewis, "Some special solutions of the equations of axially symmetric gravitational fields," Roy. Soc., Proc. 136, 176–92 (May 2, 1932).
  3. ^ A. Papapetrou, "A static solution of the equations of the gravitatinal field for an arbitrary charge-distribution," Proc. R. Irish Acad. A 52, 11 (1948).
  4. ^ Jiří Bičák; O. Semerák; Jiří Podolský; Martin Žofka (2002). Gravitation, Following the Prague Inspiration: A Volume in Celebration of the 60th Birthday of Jiří Bičák. World Scientific. p. 122. ISBN 981-238-093-0.

Further readingEdit

Selected papersEdit

Selected booksEdit