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Extended black hole thermodynamics from extended Iyer-Wald formalism

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arxiv 2308.12630 v2 pith:JD2N5OQN submitted 2023-08-24 gr-qc hep-th

classification gr-qchep-th
keywords extendedthermodynamicsblackformalismholeiyer-waldstructureaction
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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.

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Cited by 8 Pith papers

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