On black hole temperature in Horndeski gravity

authored by

K. Hajian, S. Liberati, M. M. Sheikh-Jabbari, M. H. Vahidinia

Abstract

It has been observed that for black holes in certain family of Horndeski gravity theories Wald's entropy formula does not lead to the correct first law for black hole thermodynamics. For this family of Horndeski theories speeds of propagation of gravitons and photons are in general different and gravitons move on an effective metric different than the one seen by photons. We show that the temperature of the black hole should be modified from surface gravity over 2π to include effects of this effective metric. The modified temperature, with the entropy unambiguously computed by the solution phase space method, yields the correct first law. Our results have far reaching implications for the Hawking radiation and species problem, going beyond the Horndeski theories.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Scuola Internazionale Superiore di Studi Avanzati
Istituto Nazionale di Fisica Nucleare (INFN)
Institute for Fundamental Physics of the Universe (IFPU)
Institute for Research in Fundamental Sciences (IPM)
Abdus Salam International Centre for Theoretical Physics
Institute for Advanced Studies in Basic Sciences, Zanjan
Middle East Technical University (METU)

Type

Artikel

Journal

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volume

812

ISSN

0370-2693

Publication date

10.01.2021

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.48550/arXiv.2005.12985 (Access: Offen)
https://doi.org/10.1016/j.physletb.2020.136002 (Access: Offen)