Quasi-homogeneous black hole thermodynamics

Quevedo, Hernando (Aff1, 0000 0001 2159 0001, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, 04510, Ciudad de México, Mexico) (Aff2, Dipartimento di Fisica and ICRA, Università di Roma “Sapienza”, 00185, Rome, Italy) (Aff3, 0000 0000 8887 5266, Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan) ; Quevedo, María N. (Aff4, 0000 0001 2223 8106, Departamento de Matemáticas, Universidad Militar Nueva Granada, Cra 11 No. 101-80, Bogotá, DE, Colombia) ; Sánchez, Alberto (Aff5, Departamento de posgrado, CIIDET, AP752, 76000, Querétaro, QRO, Mexico)

13 March 2019

Abstract: Although the fundamental equations of ordinary thermodynamic systems are known to correspond to first-degree homogeneous functions, in the case of non-ordinary systems like black holes the corresponding fundamental equations are not homogeneous. We present several arguments, indicating that black holes should be described by means of quasi-homogeneous functions of degree different from one. In particular, we show that imposing the first-degree condition leads to contradictory results in thermodynamics and geometrothermodynamics of black holes. As a consequence, we show that in generalized gravity theories the coupling constants like the cosmological constant, the Born–Infeld parameter or the Gauss–Bonnet constant must be considered as thermodynamic variables.

Published in: EPJC 79 (2019) 229
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-019-6745-0
License: CC-BY-3.0

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