y Thermodynamics of the Apparent Horizon in FRW Universe with Massive Gravity

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	y Thermodynamics of the Apparent Horizon in FRW Universe with Massive Gravity
	Li, H ; Zhang, Y
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2013
卷号	60 期号:1 页码:28-36
关键词	GENERALIZED 2ND LAW SCALAR-TENSOR GRAVITY EQUATION-OF-STATE UNIFIED 1ST LAW BLACK-HOLES COSMOLOGICAL CONSTANT FINITE-RANGE FIELD ENTROPY SPACETIME
ISSN号	0253-6102
通讯作者	Li, H (reprint author), Yantai Univ, Dept Phys, 30 Qingquan Rd, Yantai 264005, Peoples R China.
英文摘要	Applying Clausius relation with energy-supply defined by the unified first law of thermodynamics formalism to the apparent horizon of a massive gravity model in cosmology proposed lately, the corrected entropic formula of the apparent horizon is obtained with the help of the modified Friedmann equations. This entropy-area relation, together with the identified Misner-Sharp internal energy, verifies the first law of thermodynamics for the apparent horizon with a volume change term for consistency. On the other hand, by means of the corrected entropy-area formula and the Clausius relation delta Q = TdS, where the heat flow delta Q is the energy-supply of pure matter projecting on the vector xi tangent to the apparent horizon and should be looked on as the amount of energy crossing the apparent horizon during the time interval dt and the temperature of the apparent horizon for energy crossing during the same interval is 1/(2 pi(r) over tilde (A)), the modified Friedmann equations governing the dynamical evolution of the universe are reproduced with the known energy density and pressure of massive graviton. The integration constant is found to correspond to a cosmological term which could be absorbed into the energy density of matter. Having established the correspondence of massive cosmology with the unified first law of thermodynamics on the apparent horizon, the validity of the generalized second law of thermodynamics is also discussed by assuming the thermal equilibrium between the apparent horizon and the matter field bounded by the apparent horizon. It is found that, in the limit H-c -> 0, which recovers the Minkowski reference metric solution in the flat case, the generalized second law of thermodynamics holds if alpha(3) + 4 alpha(4) < 0. Without this condition, even for the simplest model of dRGT massive cosmology with alpha(3) = alpha(4) = 0, the generalized second law of thermodynamics could be violated.
学科主题	Physics
收录类别	SCI
资助信息	National Natural Science Foundation of China [10747155, 11205131, 11175270, 11005164, 10935013]; Chongqing, Chongqing Science and Technology Commission [2010BB0408]
语种	英语
WOS记录号	WOS:000322428800005
公开日期	2014-04-25
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15334]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Li, H,Zhang, Y. y Thermodynamics of the Apparent Horizon in FRW Universe with Massive Gravity[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2013,60(1):28-36.
APA	Li, H,&Zhang, Y.(2013).y Thermodynamics of the Apparent Horizon in FRW Universe with Massive Gravity.COMMUNICATIONS IN THEORETICAL PHYSICS,60(1),28-36.
MLA	Li, H,et al."y Thermodynamics of the Apparent Horizon in FRW Universe with Massive Gravity".COMMUNICATIONS IN THEORETICAL PHYSICS 60.1(2013):28-36.