Extended black hole thermodynamics from extended Iyer-Wald formalism

Abstract

In recent years, there has been significant interest in the field of extended black hole thermodynamics, where the cosmological constant and/or other coupling parameters are treated as thermodynamic variables. Drawing inspiration from the Iyer-Wald formalism, which reveals the intrinsic and universal structure of conventional black hole thermodynamics, we illustrate that a proper extension of this formalism also unveils the underlying theoretical structure of extended black hole thermodynamics. As a remarkable consequence, for any gravitational theory described by a diffeomorphism invariant action, it is always possible to construct a consistent extended thermodynamics using this extended formalism.

8 pages, no figures

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• ${\tilde{W}}^{1+}$ subclass: Extending the topological classification of black hole thermodynamics
• Deciphering black hole phase transitions through photon spheres
• First order corrections to black hole thermodynamics: a simple approach enhanced
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• The Kramers escape rate of phase transitions for the 6-dimensional Gauss-Bonnet AdS black hole with triple phases
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• Black-Hole Thermodynamics from Gauge Freedom in Extended Iyer-Wald Formalism
• Notes on solution phase space and BTZ black hole
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• Extended black hole thermodynamics in a DGP braneworld
• A universal relation among Euclidean integrals for black holes in higher-derivative gravity theories
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