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题名: y Thermodynamics of the Apparent Horizon in FRW Universe with Massive Gravity
作者: Li, H ;  Zhang, Y
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 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
学科分类: Physics
通讯作者: Li, H (reprint author), Yantai Univ, Dept Phys, 30 Qingquan Rd, Yantai 264005, Peoples R China.
部门归属: [Li Hui] Yantai Univ, Dept Phys, Yantai 264005, Peoples R China; [Zhang Yi] Chongqing Univ Posts & Telecommun, Coll Math & Phys, Chongqing 400065, Peoples R China; [Li Hui; Zhang Yi] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, 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.
资助者: National Natural Science Foundation of China [10747155, 11205131, 11175270, 11005164, 10935013]; Chongqing, Chongqing Science and Technology Commission [2010BB0408]
收录类别: SCI
语种: 英语
WOS记录号: WOS:000322428800005
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15334
Appears in Collections:理论物理所2013年知识产出 _期刊论文

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Recommended Citation:
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.
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