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

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

2005-02-11

arxiv.org/abs/hep-th/0502109v2

Phys.Lett. B612 (2005) 100-104

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, no figure

Scientific paper

10.1016/j.physletb.2005.03.029

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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