Violation of the First Law of Thermodynamics in f ( R , T ) Gravity

We derive the first law of thermodynamics using the method proposed by Wald. Treating the entropy as Noether charge and comparing with the usual first law of thermodynamics, we obtain explicitly the expression of entropy which contains infinitely many non-local terms (i.e. the integral terms). We ha...

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Veröffentlicht in:	Chinese physics letters 2012-10, Vol.29 (10), p.109801-1-109801-3
Hauptverfasser:	Jamil, Mubasher, Momeni, D., Myrzakulov, Ratbay
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Sprache:	eng
Schlagworte:	Black holes (astronomy) Charge Energy conservation law Entropy Gravitation Integrals Thermodynamics
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creator	Jamil, Mubasher Momeni, D. Myrzakulov, Ratbay
description	We derive the first law of thermodynamics using the method proposed by Wald. Treating the entropy as Noether charge and comparing with the usual first law of thermodynamics, we obtain explicitly the expression of entropy which contains infinitely many non-local terms (i.e. the integral terms). We have proved, in general, that the first law of black hole thermodynamics is violated for [fnof] (R, T) gravity. However, there might exist some special cases in which the first law for f(R, T) gravity is recovered.
doi_str_mv	10.1088/0256-307X/29/10/109801
format	Article
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source	IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link
subjects	Black holes (astronomy) Charge Energy conservation law Entropy Gravitation Integrals Thermodynamics
title	Violation of the First Law of Thermodynamics in f ( R , T ) Gravity
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