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Cosmological equations and thermodynamics on apparent horizon in thick braneworld
Authors:Shao-Feng Wu   Guo-Hong Yang  Peng-Ming Zhang
Affiliation:1.Department of Physics,Shanghai University,Shanghai,People’s Republic of China;2.The Shanghai Key Lab of Astrophysics,Shanghai,People’s Republic of China;3.National Laboratory of Heavy Ion Accelerator,Center of Theoretical Nuclear Physics,Lanzhou,People’s Republic of China;4.Institute of Modern Physics,Lanzhou,People’s Republic of China
Abstract: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 generalized Friedmann equation in some limits and demonstrate that the reductions but not the generalized Friedmann equation can be rewritten as the first law of equilibrium thermodynamics on the apparent horizon of thick braneworld.
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