Thermodynamics of Einstein-Aether black holes

R. Chan; M. F. A. da Silva; V. H. Satheeshkumar

doi:10.1140/epjc/s10052-022-10912-x

2021 Impact factor 4.991

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 943
https://doi.org/10.1140/epjc/s10052-022-10912-x

Regular Article - Theoretical Physics

Thermodynamics of Einstein-Aether black holes

R. Chan¹^a, M. F. A. da Silva² and V. H. Satheeshkumar³

¹ Coordenação de Astronomia e Astrofísica, Observatório Nacional (ON), 20921-400, Rio de Janeiro, RJ, Brazil
² Departamento de Física Teórica, Universidade do Estado do Rio de Janeiro (UERJ), 20550-900, Rio de Janeiro, RJ, Brazil
³ Departamento de Física, Universidade Federal do Estado do Rio de Janeiro (UNIRIO), 22290-240, Rio de Janeiro, RJ, Brazil

^a chan@on.br

Received: 14 July 2022
Accepted: 11 October 2022
Published online: 25 October 2022

Abstract

We analyze several spherically symmetric exterior vacuum solutions allowed by the Einstein-Aether (EA) theory with a non-static aether and study the thermodynamics of their Killing and universal horizons. We show that there are five classes of solutions corresponding to different values of a combination of the free parameters, , and , which are: (A) and and , (B) and and , (C) and and , (D) , and , and (E) and . We present explicit analytical solutions for these five cases. All these cases have singularities at and are asymptotically flat spacetimes and possess both Killing and universal horizons with the universal horizons always being inside the Killing horizons. Finally, we compute the surface gravity, the temperature, the entropy and the first law of thermodynamics for the universal horizons.

© The Author(s) 2022

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