Quasi-homogeneous black hole thermodynamics

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.

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Cited by in corpus (10)

• $P-v$ criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics
• The third law of thermodynamics, non-extensivity, and energy definition in black hole physics
• Geometrothermodynamics of van der Waals systems
• Logarithmic corrections to the entropy function of black holes in the open ensemble
• Geometrothermodynamics of black holes with a nonlinear source
• Geometrothermodynamic cosmology
• Geometrothermodynamics of black hole binary systems
• Holographic pressure and volume for black holes
• RPST-Inspired Formalism for Black Holes in Flat Spacetime
• Conventional vs. modified GTD metrics: Survival of modified GTD metrics in AdS spacetime and thermodynamic ensembles