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

By Valeri P. Frolov, D. Stojkovic. 2003

182 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ce7e7b69bd3dd2fc4111693903a8812650b290b3

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In Astronomy and Astrophysics

In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

Instability of the massive Klein-Gordon field on the Kerr spacetime (2007, background): “This conclusion is supported by the apparent absence of stable orbits on higher-dimensional rotating backgrounds [19].”
Black Holes in Higher Dimensions (2008, background): “It turns out that the general Myers–Perry solution also possesses hidden symmetries [174, 91] (this was first realized for the special case of d = 5 [93, 94]).”