Knowledge Management System of Institute of Theoretical Physics, CAS
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 Publication | COMMUNICATIONS IN THEORETICAL PHYSICS |
Language | 英语 |
Keyword | Generalized 2nd Law Scalar-tensor Gravity Equation-of-state Unified 1st Law Black-holes Cosmological Constant Finite-range Field Entropy Spacetime |
Abstract | 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. |
2013 | |
ISSN | 0253-6102 |
Volume | 60Issue:1Pages:28-36 |
Subject Area | Physics |
Indexed By | SCI |
Funding Organization | 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] ; National Natural Science Foundation of China [10747155, 11205131, 11175270, 11005164, 10935013]; Chongqing, Chongqing Science and Technology Commission [2010BB0408] |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/15334 |
Collection | SCI期刊论文 |
Corresponding Author | Li, 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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