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Paper IPM / P / 7639  


Abstract:  
The semiclassical corrections to the CardyVerlinde entropy of a fivedimensional Schwarzschild anti deSitter black hole (SAdS_{5}) are explicitly evaluated. These corrections are considered within the context of KKW analysis and arise as a result of the selfgravitation effect. In addition, a fourdimensional timelike brane is considered as the boundary of the SAdS_{5} bulk background. It is already known that the induced geometry of the brane is exactly given by that of a radiationdominated FRW universe. Exploiting the CFT/FRWcosmology relation, we derive the selfgravitational corrections to the first Friedmannlike equation which is the equation of the brane motion. The additional term that arises due to the semiclassical analysis, can be viewed as stiff matter where the selfgravitational corrections act as the source for it. This result is contrary to standard analysis that regards the charge of SAdS_{5} bulk black hole as the source for stiff matter. A very interesting feature of the solutions of FRW equation is that they all (for k=0,±1) have a nonvanishing minimum value for the scale factor.
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