First Law of Thermodynamics and Friedmann Equations of Friedmann–Robertson–Walker Universe | Zendy

Rong-Gen Cai | Zendy; Sang Pyo Kim | Zendy

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First Law of Thermodynamics and Friedmann Equations of Friedmann–Robertson–Walker Universe

Author(s) -

Rong-Gen Cai,

Sang Pyo Kim

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/02/050

Subject(s) - friedmann equations , apparent horizon , physics , first law of thermodynamics , mathematical physics , entropy (arrow of time) , universe , second law of thermodynamics , curvature , classical mechanics , horizon , event horizon , thermodynamics , cosmology , mathematics , dark energy , quantum mechanics , geometry , astronomy

Applying the first law of thermodynamics to the apparent horizon of aFriedmann-Robertson-Walker universe and assuming the geometric entropy given bya quarter of the apparent horizon area, we derive the Friedmann equationsdescribing the dynamics of the universe with any spatial curvature. Usingentropy formulae for the static spherically symmetric black hole horizons inGauss-Bonnet gravity and in more general Lovelock gravity, where the entropy isnot proportional to the horizon area, we are also able to obtain the Friedmannequations in each gravity theory. We also discuss some physical implications ofour results.Comment: LaTex 15 pages, no figur

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