4.3 Article

Cosmological equations and thermodynamics on apparent horizon in thick braneworld

Journal

GENERAL RELATIVITY AND GRAVITATION
Volume 42, Issue 7, Pages 1601-1622

Publisher

SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-010-0932-5

Keywords

The first law of thermodynamics; Thick brane; Apparent horizon; Friedmann equation; Curvature corrections

Funding

  1. NSFC [10905037, 10604024]
  2. Shanghai Research Foundation [07dz22020]
  3. CAS Knowledge Innovation [KJcx.syw.N2]
  4. Shanghai Leading Academic Discipline [S30105]

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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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