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Paper IPM / P / 7760  


Abstract:  
A D3− brane with nonzero energy density is considered as the boundary of a five dimensional Schwarzschild anti de Sitter bulk background. Taking into account the semiclassical corrections to the black hole entropy that arise as a result of the selfgravitational effect, and employing the AdS/CFT correspondence, we obtain the selfgravitational correction to the first Friedmannlike equation. The additional term in the Hubble equation due to the selfgravitational effect goes as a^{−6}. Thus, the selfgravitational 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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