While the test particle falls into the rotating black hole in a finite proper time, it makes an infinite amount of revolutions while frozen on the horizon from the perspective of a coordinate observer. Units of time are in GM/c³. The spin parameter is 0.9, the initial distance 3GM/c² and the polar launch angle 36°. The initial velocity in a prograde direction is the newtonian orbital velocity. The length of the red tail is 1/4 GM/c³ in proper time (at the horizon it becomes infinitely long after an infinite amount of coordinate time and in a finite proper time because of gravitational time dilation and the frame-dragging-effect).

Summary

Licensing

I, the copyright holder of this work, hereby publish it under the following license:

This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.

You are free:

• to share – to copy, distribute and transmit the work
• to remix – to adapt the work

Under the following conditions:

• attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
• share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

https://creativecommons.org/licenses/by-sa/4.0CC BY-SA 4.0 Creative Commons Attribution-Share Alike 4.0 truetrue