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Thermodynamics of charged, rotating, and accelerating black holes

Anabalón, Andrés; Gray, Finnian; Gregory, Ruth; Kubizňák, David; Mann, Robert B.

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Authors

Andrés Anabalón

Finnian Gray

Ruth Gregory

David Kubizňák

Robert B. Mann



Abstract

We show how to obtain a consistent thermodynamic description of accelerating asymptotically AdS black holes, extending our previous results by including charge and rotation. We find that the key ingredient of consistent thermodynamics is to ensure that the system is not over-constrained by including the possibility of varying the ‘string’ tensions that are responsible for the acceleration of the black hole, yielding a first law of full cohomogeneity. The first law assumes the standard form, with the entropy given by one quarter of the horizon area and other quantities identified by standard methods. In particular we compute the mass in two independent ways: through a Euclidean action calculation and by the method of conformal completion. The ambiguity in the choice of the normalization of the timelike Killing vector can be fixed by explicit coordinate transformation (in the case of rotation) to the standard AdS form or by holographic methods (in the case of charge). This resolves a long-standing problem of formulating the thermodynamics of accelerating black holes, opening the way to detailed studies of their phase behaviour.

Citation

Anabalón, A., Gray, F., Gregory, R., Kubizňák, D., & Mann, R. B. (2019). Thermodynamics of charged, rotating, and accelerating black holes. Journal of High Energy Physics, 2019(4), Article 96. https://doi.org/10.1007/jhep04%282019%29096

Journal Article Type Article
Acceptance Date Apr 9, 2019
Online Publication Date Apr 15, 2019
Publication Date Apr 30, 2019
Deposit Date May 1, 2019
Publicly Available Date Mar 29, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2019
Issue 4
Article Number 96
DOI https://doi.org/10.1007/jhep04%282019%29096

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





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