Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld

Details Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld

2007-01-29

arxiv.org/abs/hep-th/0701261v2

Phys.Rev.D76:023515,2007

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, revised version, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.76.023515

We disclose the deep connection between the thermodynamics and gravity in a general braneworld model with curvature correction terms on the brane and in the bulk, respectively. We show that the Friedmann equations on the 3-brane embedded in the 5D spacetime with curvature correction terms can be written directly in the form of the first law of thermodynamics on the apparent horizon. Using the first law, we extract the entropy expression of the apparent horizon on the brane, which is useful in studying the thermodynamical properties of the black hole horizon on the brane in Gauss-Bonnet gravity.

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