Ultraspinning instability of anti-de Sitter black holes
Ultraspinning instability of anti-de Sitter black holes
Myers-Perry black holes with a single spin in d > 5 have been shown to be unstable if rotating sufficiently rapidly. We extend the numerical analysis which allowed for that result to the asymptotically AdS case. We determine numerically the stationary perturbations that mark the onset of the instabilities for the modes that preserve the rotational symmetries of the background. The parameter space of solutions is thoroughly analysed, and the onset of the instabilities is obtained as a function of the cosmological constant. Each of these perturbations has been conjectured to represent a bifurcation point to a new phase of stationary AdS black holes, and this is consistent with our results.
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Figueras, Pau
92a9d40b-4ed0-45c6-b7c4-e8f9b4addcdb
Monteiro, Ricardo
1dfb2954-9861-425f-82c5-75185a088b60
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
15 December 2010
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Figueras, Pau
92a9d40b-4ed0-45c6-b7c4-e8f9b4addcdb
Monteiro, Ricardo
1dfb2954-9861-425f-82c5-75185a088b60
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
Dias, Oscar J.C., Figueras, Pau, Monteiro, Ricardo and Santos, Jorge E.
(2010)
Ultraspinning instability of anti-de Sitter black holes.
JHEP, 2010, [067].
(doi:10.1007/JHEP12(2010)067).
Abstract
Myers-Perry black holes with a single spin in d > 5 have been shown to be unstable if rotating sufficiently rapidly. We extend the numerical analysis which allowed for that result to the asymptotically AdS case. We determine numerically the stationary perturbations that mark the onset of the instabilities for the modes that preserve the rotational symmetries of the background. The parameter space of solutions is thoroughly analysed, and the onset of the instabilities is obtained as a function of the cosmological constant. Each of these perturbations has been conjectured to represent a bifurcation point to a new phase of stationary AdS black holes, and this is consistent with our results.
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Published date: 15 December 2010
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Copyright © 2010, The Author(s)
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Local EPrints ID: 468069
URI: http://eprints.soton.ac.uk/id/eprint/468069
PURE UUID: 91c81c49-67b9-4288-850b-d5b4027c9d53
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Date deposited: 29 Jul 2022 16:42
Last modified: 17 Mar 2024 03:35
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Author:
Pau Figueras
Author:
Ricardo Monteiro
Author:
Jorge E. Santos
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