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

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.

arXiv comment15 pages, 6 figures

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• The Stable Trapping Phenomenon for Black Strings and Black Rings and its Obstructions on the Decay of Linear Waves
• Gregory-Laflamme encounters Superradiance
• Stable circular orbits in higher-dimensional multi-black hole spacetimes
• Strong-field gravitational lensing by black holes
• Particle dynamics in the Newtonian potential sourced by a homogeneous circular ring
• Stable circular orbits in caged black hole spacetimes
• Stable bound orbits in microstate geometries