A general thermodynamical description of the event horizon in the FRW universe

Fei-Quan Tu; Yi-Xin Chen

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A general thermodynamical description of the event horizon in the FRW universe

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arxiv 1503.03182 v2 pith:GV6FKAQX submitted 2015-03-11 hep-th gr-qc

Fei-Quan Tu , Yi-Xin Chen This is my paper · ORCID

classification hep-thgr-qc

keywords universeeventhorizonevolutiongravitythermodynamicsdescriptionfirst

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abstract

The Friedmann equation in the Friedmann-Robertson-Walker(FRW) universe with any spatial curvature is derived from the first law of thermodynamics on the event horizon. The key idea is to redefine a Hawking temperature on the event horizon. Furthermore, we obtain the evolution equations of the universe including the quantum correction and explore the evolution of the universe in the $f(R)$ gravity. In addition, we also investigate the generalized second law of thermodynamics in Einstein gravity and the $f(R)$ gravity. This perspective also implies that the first law of thermodynamics on the event horizon have a general description in respect of the evolution of the FRW universe.

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