Particle and light motion in a space-time of a five-dimensional rotating black hole
Valeri P. FrolovTheoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Canada T6G 2J1Dejan StojkovićTheoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Canada T6G 2J1
2003en
ABI
Abstract
We study the motion of particles and light in a space-time of a five-dimensional rotating black hole. We demonstrate that the Myers-Perry metric describing such a black hole, in addition to three Killing vectors, also possesses 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 prove that there are no stable circular orbits in equatorial planes in the background of this metric.
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