Horizon Thermodynamics from Einstein's Equation of State

Abstract

By regarding the Einstein equations as equation(s) of state, we demonstrate that a full cohomogeneity horizon first law can be derived in horizon thermodynamics. In this approach both the entropy and the free energy are derived concepts, while the standard (degenerate) horizon first law is recovered by a Legendre projection from the more general one we derive. These results readily generalize to higher curvature gravities and establish a way of how to formulate consistent black hole thermodynamics without conserved charges.

5 pages, 0 figures

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Cited by in corpus (15)

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• The modified first laws of thermodynamics of anti-de Sitter and de Sitter space-times
• Extended phase space thermodynamics of black holes: A study in Einstein's gravity and beyond
• Regular black holes with $\Lambda >0$ and its evolution in Lovelock gravity
• Black hole horizons can hide positive heat capacity
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• The multiple realizability of general relativity in quantum gravity
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• Misner-Sharp Energy and P-V Criticality in Quasi-Topological Cosmology
• Holographic pressure and volume for black holes
• Field equations for Lovelock gravity: An alternative route
• Horizon thermodynamics in $f(R,R^{\mu \nu }{R}_{\mu \nu })$ theory
• The role of the cosmological constant as a pressure in the (2+1)-dimensional black string
• Penrose-Rindler equation and horizon thermodynamics of stationary black holes
• New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity