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.
On black hole temperature in Horndeski gravity / Hajian, K.; Liberati, S.; Sheikh-Jabbari, M. M.; Vahidinia, M. H.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 812:(2021), pp. 1-7. [10.1016/j.physletb.2020.136002]
On black hole temperature in Horndeski gravity
Liberati S.;
2021-01-01
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.File | Dimensione | Formato | |
---|---|---|---|
1-s2.0-S0370269320308054-main.pdf
accesso aperto
Descrizione: Open Access-SCOAP3
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
378.43 kB
Formato
Adobe PDF
|
378.43 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.