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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 the Friedmann equation at the apparent horizon of the FRW universe
Source PublicationPHYSICAL REVIEW D
KeywordExtended Einstein Equations Cardy-verlinde Formula Black-hole Symmetrical-solutions Particle Creation Lovelock Gravity Desitter Spaces 1st Law Entropy Holography
AbstractIt is shown that the differential form of Friedmann equation of a FRW universe can be rewritten as the first law of thermodynamics dE=TdS+WdV at apparent horizon, where E=rho V is the total energy of matter inside the apparent horizon, V is the volume inside the apparent horizon, W=(rho-P)/2 is the work density, rho and P are energy density and pressure of matter in the universe, respectively. From the thermodynamic identity one can derive that the apparent horizon r(A) has associated entropy S=A/4G and temperature T=kappa/2 pi in Einstein general relativity, where A is the area of apparent horizon and kappa is the surface gravity at apparent horizon of FRW universe. We extend our procedure to the Gauss-Bonnet gravity and more general Lovelock gravity and show that the differential form of Friedmann equations in these gravities can also be written as dE=TdS+WdV at the apparent horizon of FRW universe with entropy S being given by expression previously known via black hole thermodynamics.
2007
ISSN1550-7998
Volume75Issue:8Pages:-
Subject AreaPhysics
Indexed BySCI
Citation statistics
Cited Times:257[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5760
Collection理论物理所科研产出_SCI期刊论文
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 the Friedmann equation at the apparent horizon of the FRW universe[J]. PHYSICAL REVIEW D,2007,75(8):-.
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 the Friedmann equation at the apparent horizon of the FRW universe.PHYSICAL REVIEW D,75(8),-.
MLA Akbar, M.,et al."Thermodynamic behavior of the Friedmann equation at the apparent horizon of the FRW universe".PHYSICAL REVIEW D 75.8(2007):-.
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