Cosmological equations and Thermodynamics on Apparent Horizon in Thick Braneworld

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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25 pages, no figure, a definition corrected, several references added, more motivation and discussion

Scientific paper

We derive the generalized Friedmann equation governing the cosmological evolution inside the thick brane model in the presence of two curvature correction terms: a four-dimensional scalar curvature from induced gravity on the brane, and a five-dimensional Gauss-Bonnet curvature term. We find two effective four-dimensional reductions of the Friedmann equation in some limits and demonstrate that they can be rewritten as the first law of thermodynamics on the apparent horizon of thick braneworld.

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