Gauss-Bonnet and Lovelock Gravities and the Generalized Second Law of Thermodynamics
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摘要:
It has been shown[Chin.Phys.Lett.25 (2008) 4199]that the generalized second law of thermodynamics holds in Einstein gravity.Here we extend this procedure for Gauss-Bonnet and Lovelock gravities.It is shown that by employing the general expression for temperature Th=|k|/2π=1/xπrAT(1-(rA)/2HrA)associated with the apparent horizon of a Friedman-Robertson-Walker (FRW) universe and assuming Tm= bTh,we are able to construct conditions for which the generalized second law holds in Gauss-Bonnet and Lovelock gravities,where Tm and Th axe the temperatures of the source and the horizon respectively.