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The Self-Gravitational Corrections as the Source for Stiff Matter on the Brane in $SAdS_5$ Bulk

M R Setare
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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.

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M R Setare. 2005-04-11. The Self-Gravitational Corrections as the Source for Stiff Matter on the Brane in $SAdS_5$ Bulk. https://doi.org/10.1016/j.physletb.2005.03.029

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