First law of thermodynamics and Friedmann-like equations in braneworld cosmology

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, no figures,Version 3; minor improvements

Scientific paper

10.1016/j.physletb.2007.05.055

We derive the Friedmann-like equations in braneworld cosmology by imposing the first law of thermodynamics and Bekenstein's area-entropy formula on the apparent horizon of a Friedmann-Roberston-Walker universe in both Randall-Sundrum II gravity and Dvali-Gabadadze-Porrati gravity models. Israel's boundary condition plays an important role in our calculations in both cases, besides the first law of thermodynamics and Bekenstein's area-entropy formula. The results indicate that thermodynamics on the brane world knows the behaviors of gravity.

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