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

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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