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

Xian-Hui Ge

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

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arxiv hep-th/0703253 v3 pith:FRDAWY3H submitted 2007-03-28 hep-th astro-phgr-qchep-ph

Xian-Hui Ge This is my paper · ORCID

classification hep-thastro-phgr-qchep-ph

keywords thermodynamicsfirstgravityarea-entropybekensteinbraneworldcosmologyequations

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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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First Law of Thermodynamics and Emergence of Cosmic Space in a Non-Flat Universe
gr-qc 2019-08 conditional novelty 5.0 of 10

In a non-flat Friedmann universe, the unified first law dE = TdS + WdV and the energy-flux form -dE = TdS are consistent only when the horizon volume is taken as the areal volume, not the proper invariant volume.

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