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Paper   IPM / P / 7760
School of Physics
  Title:   The Self-Gravitational Corrections as the Source for Stiff Matter on the Brane in SAdS5 Bulk
  Author(s):  M.R. Setare
  Status:   Published
  Journal: Phys. Lett. B
  Vol.:  612
  Year:  2005
  Pages:   100-104
  Supported by:  IPM
A D3− brane with non-zero energy density is considered as the boundary of a five dimensional Schwarzschild anti de Sitter bulk background. Taking into account the semi-classical corrections to the black hole entropy that arise as a result of the self-gravitational effect, and employing the AdS/CFT correspondence, we obtain the self-gravitational correction to the first Friedmann-like equation. The additional term in the Hubble equation due to the self-gravitational effect goes as a−6. Thus, the self-gravitational corrections act as a source of stiff matter contrary to standard FRW cosmology where the charge of the black hole plays this role.

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