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Paper   IPM / Physic / 8327
School of Physics
  Title:   Generalized Friedmann Equations for A Finite Thick Brane
1.  S. Ghassemi
2.  S. Khakshournia
3.  R. Mansouri
  Status:   Published
  Journal: JHEP
  Vol.:  08
  Year:  2006
  Pages:   019
  Supported by:  IPM
We present the generalized Friedmann equations describing the cosmological evolution of a finite thick brane immeresed in a five-dimensional Schwarzschild Anti-de Sitter spacetime. A linear term in the density in addition to a quatratic one arises in the Friedmann equation, leading to the standard cosmological evolution at late times without introducing an ad hoc tension term for the brane. The effective four-dimensional cosmological constant is then uplifted similar to the KKLT effect and vanishes for a brane thickness equal to the AdS curvature size, up to the third order of the thickness. The four-dimensional gravitational constant is then equal to the five-dimensional one divided by the AdS curvature radius, similar to that derived by dimensional compactification. An accelerating brane cosmology may emerge at late times provided there is either a negative transverse pressure component in the brane energy-momentum tensor or the effective brane cosmological constant is positive.

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