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Li, H; Zhang, Y; Li, H (reprint author), Yantai Univ, Dept Phys, 30 Qingquan Rd, Yantai 264005, Peoples R China.
y Thermodynamics of the Apparent Horizon in FRW Universe with Massive Gravity
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
Language英语
KeywordGeneralized 2nd Law Scalar-tensor Gravity Equation-of-state Unified 1st Law Black-holes Cosmological Constant Finite-range Field Entropy Spacetime
AbstractApplying 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.
2013
ISSN0253-6102
Volume60Issue:1Pages:28-36
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [10747155, 11205131, 11175270, 11005164, 10935013]; Chongqing, Chongqing Science and Technology Commission [2010BB0408] ; National Natural Science Foundation of China [10747155, 11205131, 11175270, 11005164, 10935013]; Chongqing, Chongqing Science and Technology Commission [2010BB0408] ; National Natural Science Foundation of China [10747155, 11205131, 11175270, 11005164, 10935013]; Chongqing, Chongqing Science and Technology Commission [2010BB0408] ; National Natural Science Foundation of China [10747155, 11205131, 11175270, 11005164, 10935013]; Chongqing, Chongqing Science and Technology Commission [2010BB0408]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15334
CollectionSCI期刊论文
Corresponding AuthorLi, H (reprint author), Yantai Univ, Dept Phys, 30 Qingquan Rd, Yantai 264005, Peoples R China.
Recommended Citation
GB/T 7714
Li, H,Zhang, Y,Li, H . 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,&Li, H .(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.
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