A scalar field condensation instability of rotating Anti-de Sitter black holes
A scalar field condensation instability of rotating Anti-de Sitter black holes
Near-extreme Reissner-Nordström-anti-de Sitter black holes are unstable against the condensation of an uncharged scalar field with mass close to the Breitenlöhner-Freedman bound. It is shown that a similar instability afflicts near-extreme large rotating AdS black holes, and near-extreme hyperbolic Schwarzschild-AdS black holes. The resulting nonlinear hairy black hole solutions are determined numerically. Some stability results for (possibly charged) scalar fields in black hole backgrounds are proved. For most of the extreme black holes we consider, these demonstrate stability if the “effective mass” respects the near-horizon BF bound. Small spherical Reissner-Nordström-AdS black holes are an interesting exception to this result.
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Monteiro, Ricardo
1dfb2954-9861-425f-82c5-75185a088b60
Reall, Harvey S.
63d30f86-ab43-437d-86d9-eed9d4469ef8
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
10 November 2010
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Monteiro, Ricardo
1dfb2954-9861-425f-82c5-75185a088b60
Reall, Harvey S.
63d30f86-ab43-437d-86d9-eed9d4469ef8
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
Dias, Oscar J.C., Monteiro, Ricardo, Reall, Harvey S. and Santos, Jorge E.
(2010)
A scalar field condensation instability of rotating Anti-de Sitter black holes.
JHEP.
(doi:10.1007/JHEP11(2010)036).
Abstract
Near-extreme Reissner-Nordström-anti-de Sitter black holes are unstable against the condensation of an uncharged scalar field with mass close to the Breitenlöhner-Freedman bound. It is shown that a similar instability afflicts near-extreme large rotating AdS black holes, and near-extreme hyperbolic Schwarzschild-AdS black holes. The resulting nonlinear hairy black hole solutions are determined numerically. Some stability results for (possibly charged) scalar fields in black hole backgrounds are proved. For most of the extreme black holes we consider, these demonstrate stability if the “effective mass” respects the near-horizon BF bound. Small spherical Reissner-Nordström-AdS black holes are an interesting exception to this result.
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Accepted/In Press date: 9 October 2010
e-pub ahead of print date: 9 November 2010
Published date: 10 November 2010
Additional Information:
Copuright SISSA 2010
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Local EPrints ID: 467501
URI: http://eprints.soton.ac.uk/id/eprint/467501
PURE UUID: c601160a-0426-4b08-ba97-5ce1ff9db82e
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Date deposited: 12 Jul 2022 16:31
Last modified: 17 Mar 2024 03:35
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Author:
Ricardo Monteiro
Author:
Harvey S. Reall
Author:
Jorge E. Santos
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