The Self-Gravitational Corrections as the Source for Stiff Matter on the Brane in $SAd{S}_5$ Bulk

Abstract

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.

7 pages, no figure

References in corpus (2)

• Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle
• Bouncing Cosmologies and Self-Gravitational Corrections

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