Particle and light motion in a space-time of a five-dimensional rotating black hole

Details Particle and light motion in a space-time of a five-dimensional rotating black hole Particle and light motion in a space-time of a five-dimensional rotating black hole

2003-01-06

arxiv.org/abs/gr-qc/0301016v3

Phys.Rev. D68 (2003) 064011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Added discussion about (non)existence of stable circular orbits. Accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.68.064011

We study motion of particles and light in a space-time of a 5-dimensional rotating black hole. We demonstrate that the Myers-Perry metric describing such a black hole in addition to three Killing vectors possesses also a Killing tensor. As a result, the Hamilton-Jacobi equations of motion allow a separation of variables. Using first integrals we present the equations of motion in the first-order form. We describe different types of motion of particles and light and study some interesting special cases. We proved that there are no stable circular orbits in equatorial planes in the background of this metric.

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