Violation of the First Law of Thermodynamics in f(R,T) Gravity
Mubasher Jamil1,2, D. Momeni2**, Ratbay Myrzakulov2
1Center for Advanced Mathematics and Physics (CAMP), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan 2Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan
Abstract: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 f(R,T) gravity. However, there might exist some special cases in which the first law for f(R,T) gravity is recovered.
(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
引用本文:
. [J]. 中国物理快报, 2012, 29(10): 109801-109801.
Mubasher Jamil, D. Momeni, Ratbay Myrzakulov. Violation of the First Law of Thermodynamics in f(R,T) Gravity. Chin. Phys. Lett., 2012, 29(10): 109801-109801.