Thermodynamics of charged, rotating, and accelerating black holes

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

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

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.

Original languageEnglish
Article number96
JournalJournal of High Energy Physics
Volume2019
Issue number4
DOIs
StatePublished - 1 Apr 2019
Externally publishedYes

Keywords

  • AdS-CFT Correspondence
  • Black Holes

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