Horizon thermodynamics from Einstein's equation of state

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...

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Main Authors:	Devin Hansen, David Kubizňák, Robert B. Mann
Format:	Article
Language:	English
Published:	Elsevier 2017-08-01
Series:	Physics Letters B
Online Access:	http://www.sciencedirect.com/science/article/pii/S0370269317303507

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record_format	Article
spelling	doaj-c3203110808a4d00a2eb1337625dfee82020-11-25T00:37:04ZengElsevierPhysics Letters B0370-26932017-08-01771277280Horizon thermodynamics from Einstein's equation of stateDevin Hansen0David Kubizňák1Robert B. Mann2Perimeter Institute, 31 Caroline St. N., Waterloo, ON, N2L 2Y5, Canada; Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada; Corresponding author.Perimeter Institute, 31 Caroline St. N., Waterloo, ON, N2L 2Y5, Canada; Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, CanadaDepartment of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, CanadaBy 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 where they naturally reproduce a formula for the entropy without introducing Noether charges. Our results thus establish a way of how to formulate consistent black hole thermodynamics without conserved charges.http://www.sciencedirect.com/science/article/pii/S0370269317303507
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Devin Hansen David Kubizňák Robert B. Mann
spellingShingle	Devin Hansen David Kubizňák Robert B. Mann Horizon thermodynamics from Einstein's equation of state Physics Letters B
author_facet	Devin Hansen David Kubizňák Robert B. Mann
author_sort	Devin Hansen
title	Horizon thermodynamics from Einstein's equation of state
title_short	Horizon thermodynamics from Einstein's equation of state
title_full	Horizon thermodynamics from Einstein's equation of state
title_fullStr	Horizon thermodynamics from Einstein's equation of state
title_full_unstemmed	Horizon thermodynamics from Einstein's equation of state
title_sort	horizon thermodynamics from einstein's equation of state
publisher	Elsevier
series	Physics Letters B
issn	0370-2693
publishDate	2017-08-01
description	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 where they naturally reproduce a formula for the entropy without introducing Noether charges. Our results thus establish a way of how to formulate consistent black hole thermodynamics without conserved charges.
url	http://www.sciencedirect.com/science/article/pii/S0370269317303507
work_keys_str_mv	AT devinhansen horizonthermodynamicsfromeinsteinsequationofstate AT davidkubiznak horizonthermodynamicsfromeinsteinsequationofstate AT robertbmann horizonthermodynamicsfromeinsteinsequationofstate
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Horizon thermodynamics from Einstein's equation of state

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