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 (1)

• Entropy of Null Surfaces and Dynamics of Spacetime

Cited by in corpus (5)

• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Friedmann Equations and Thermodynamics of Apparent Horizons
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Thermodynamics of Apparent Horizon in Brane World Scenarios
• Corrected Entropy of Friedmann-Robertson-Walker Universe in Tunneling Method