Horizon Thermodynamics from Einstein's Equation of State
General Relativity and Quantum Cosmology
2017-06-28 v1
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.
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Cite
@article{arxiv.1610.03079,
title = {Horizon Thermodynamics from Einstein's Equation of State},
author = {Devin Hansen and David Kubiznak and Robert Mann},
journal= {arXiv preprint arXiv:1610.03079},
year = {2017}
}
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5 pages, 0 figures