Journal
PHYSICS OF THE DARK UNIVERSE
Volume 35, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.dark.2022.100986
Keywords
Circular orbits; Einstein and Gauss-Bonnet black holes
Categories
Funding
- CAS President's International Fellowship Initiative [2020VMA0014]
- Uzbekistan Ministry for Innovative Development [F-FA-2021-432]
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In this paper, circular orbits around higher dimensional rotating black holes are studied. It is found that there are no stable circular orbits around Myers-Perry black holes, while bound and stable circular orbits do exist for pure GB/Lovelock black holes. This property serves as a nice discriminator between Myers-Perry and pure GB/Lovelock rotating black holes.
In this paper we study circular orbits around higher dimensional rotating Myers-Perry and pure Gauss-Bonnet (GB) black holes. It turns out that for the former there occurs no potential well to harbour bound and thereby stable circular orbits. The only circular orbits that could occur are all unstable and their radius is bounded from the below by that of the photon circular orbit. On the other hand bound and stable circular orbits do exist for pure GB/Lovelock rotating black holes (the metric is though not an exact solution of pure Lovelock vacuum equation but it satisfies the equation in the leading order and has all the desired properties) in dimensions, 2N + 2 <= D <= 4N (for N = 2 pure GB in D = 6, 7, 8) where N is the degree of Lovelock polynomial. Thus bound and stable circular orbits could exist around higher dimensional rotating black holes only for pure GB/Lovelock gravity. This property is a nice discriminator between Myers-Perry and pure GB/Lovelock rotating black holes. (C) 2022 Elsevier B.V. All rights reserved.
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