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Hairy black holes and the endpoint of AdS4 charged superradiance

Hairy black holes and the endpoint of AdS4 charged superradiance
Hairy black holes and the endpoint of AdS4 charged superradiance
We construct hairy black hole solutions that merge with the anti-de Sitter (AdS4) Reissner-Nordström black hole at the onset of superradiance. These hairy black holes have, for a given mass and charge, higher entropy than the corresponding AdS4-Reissner-Nordström black hole. Therefore, they are natural candidates for the endpoint of the charged superradiant instability. On the other hand, hairy black holes never dominate the canonical and grand-canonical ensembles. The zero-horizon radius of the hairy black holes is a soliton (i.e. a boson star under a gauge transformation). We construct our solutions perturbatively, for small mass and charge, so that the properties of hairy black holes can be used to testify and compare with the endpoint of initial value simulations. We further discuss the near-horizon scalar condensation instability which is also present in global AdS4-Reissner-Nordström black holes. We highlight the different nature of the near-horizon and superradiant instabilities and that hairy black holes ultimately exist because of the non-linear instability of AdS.
Black Holes, AdS-CFT Correspondence
1029-8479
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Masachs Gonzalez, Ramon
59aea1a5-1389-43c2-9ffc-5691d8717763
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Masachs Gonzalez, Ramon
59aea1a5-1389-43c2-9ffc-5691d8717763

Campos Dias, Oscar and Masachs Gonzalez, Ramon (2017) Hairy black holes and the endpoint of AdS4 charged superradiance. The Journal of High Energy Physics, 02 (128). (doi:10.1007/JHEP02(2017)128).

Record type: Article

Abstract

We construct hairy black hole solutions that merge with the anti-de Sitter (AdS4) Reissner-Nordström black hole at the onset of superradiance. These hairy black holes have, for a given mass and charge, higher entropy than the corresponding AdS4-Reissner-Nordström black hole. Therefore, they are natural candidates for the endpoint of the charged superradiant instability. On the other hand, hairy black holes never dominate the canonical and grand-canonical ensembles. The zero-horizon radius of the hairy black holes is a soliton (i.e. a boson star under a gauge transformation). We construct our solutions perturbatively, for small mass and charge, so that the properties of hairy black holes can be used to testify and compare with the endpoint of initial value simulations. We further discuss the near-horizon scalar condensation instability which is also present in global AdS4-Reissner-Nordström black holes. We highlight the different nature of the near-horizon and superradiant instabilities and that hairy black holes ultimately exist because of the non-linear instability of AdS.

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Accepted/In Press date: 15 February 2017
e-pub ahead of print date: 24 February 2017
Published date: 24 February 2017
Keywords: Black Holes, AdS-CFT Correspondence
Organisations: Mathematical Sciences, Applied Mathematics

Identifiers

Local EPrints ID: 411894
URI: https://eprints.soton.ac.uk/id/eprint/411894
ISSN: 1029-8479
PURE UUID: 589fa5c6-e591-41de-b49d-771c2c6a320d

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Date deposited: 28 Jun 2017 16:31
Last modified: 13 Mar 2019 19:48

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