Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-09-04
Phys.Lett. B602 (2004) 1-7
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, no figures, clarifying comments added, no physics changed, version to appear in PLB
Scientific paper
10.1016/j.physletb.2004.09.062
A four-dimensional timelike brane is considered as the boundary of the $SAdS_{5}$ bulk background. Exploiting the CFT/FRW-cosmology relation, we derive the self-gravitational corrections to the first Friedmann-like 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 self-gravitational 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 $k=0,\pm1$) have a non-vanishing minimum value for the scale factor.
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