Stable Bound Orbits in Six-dimensional Myers-Perry Black Holes

TL;DR

This paper demonstrates the existence of stable bound orbits for particles in six-dimensional Myers-Perry black holes with high spin, revealing new gravitational dynamics in higher dimensions.

Contribution

It shows stable bound orbits exist in six-dimensional singly spinning Myers-Perry black holes, unlike in lower dimensions, and identifies their locations and properties.

Findings

Stable bound orbits exist for massive and massless particles.

Innermost and outermost stable orbits are on the rotational axis.

Stable orbits occur when the spin parameter exceeds a critical value.

Abstract

The existence of stable bound orbits of test particles is one of the most characteristic properties in black hole spacetimes. In higher-dimensional black holes, due to the dimensionality of gravity, there is no stable bound orbit balanced by Newtonian gravitational monopole force and centrifugal force as in the same mechanism of the four-dimensional Kerr black hole case. In this paper, however, the existence of stable bound orbits of massive and massless particles is shown in six-dimensional singly spinning Myers-Perry black holes with a value of the spin parameter larger than a critical value. The innermost stable circular orbits and the outermost stable bound orbit are found on the rotational axis.