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

Abstract

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.

12 pages, no figures,Version 3; minor improvements

References in corpus (4)

• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Entropy of Null Surfaces and Dynamics of Spacetime
• Holography of Gravitational Action Functionals

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• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Thermodynamics of Apparent Horizon in Brane World Scenarios
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• Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale
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