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Akbar, M.; Cai, Rong-Gen; Akbar, M , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China
Thermodynamic behavior of field equations for f (R) gravity
Source PublicationPHYSICS LETTERS B
KeywordCardy-verlinde Formula Black-holes Particle Creation Desitter Spaces 1st Law Horizons Entropy
AbstractRecently it has shown that Einstein's field equations can be rewritten into a form of the first law of thermodynamics at apparent horizon of Friedmann-Robertson-Walker (FRW) universe, which indicates intrinsic thermodynamic properties of apparent horizon of spacetime. In the present Letter we deal with the so-called f(R) gravity, whose action is a function of the curvature scalar R. In the setup of FRW universe, we show that the field equations can also be cast to a similar form, dE = T dS + WdV + T dS, at the apparent horizon, where W = (rho = P)/2, E is the energy of perfect fluid with energy density p and pressure P inside the apparent horizon. T and S = Af'(R)/4G are temperature and entropy associated with the apparent horizon, respectively. Compared to the case of Einstein's general relativity, an additional term dS appears here. The appearance of the additional term is consistent with the argument recently given by Eling et al. [C. Eling, R. Guedens, T. Jacobson, Phys. Rev. Lett. 96 (2006) 121301, gr-qc/0602001] that the horizon thermodynamics is non-equilibrium one for the f (R) gravity. (C) 2007 Elsevier B.V. All rights reserved.
2007
ISSN0370-2693
Volume648Issue:40942Pages:243-248
Subject AreaPhysics
Indexed BySCI
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Cited Times:184[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5734
Collection理论物理所科研产出_SCI论文
Corresponding AuthorAkbar, M , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Akbar, M.,Cai, Rong-Gen,Akbar, M , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China. Thermodynamic behavior of field equations for f (R) gravity[J]. PHYSICS LETTERS B,2007,648(40942):243-248.
APA Akbar, M.,Cai, Rong-Gen,&Akbar, M , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.(2007).Thermodynamic behavior of field equations for f (R) gravity.PHYSICS LETTERS B,648(40942),243-248.
MLA Akbar, M.,et al."Thermodynamic behavior of field equations for f (R) gravity".PHYSICS LETTERS B 648.40942(2007):243-248.
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