Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-02-08
Phys.Lett. B507 (2001) 305-311
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, 2 figures, axodraw; v2: minor corrections and references added; v3: reference added, published version
Scientific paper
10.1016/S0370-2693(01)00467-1
We consider a brane-universe in the background of an Anti-de Sitter/ Schwarschild geometry. We show that the induced geometry of the brane is exactly given by that of a standard radiation dominated FRW-universe. The radiation is represented by a strongly coupled CFT with an AdS-dual description. We show that when the brane crosses the horizon of the AdS-black hole the entropy and temperature are simply expressed in the Hubble constant and its time derivative. We present formulas for the entropy of the CFT which are generally valid, and which at the horizon coincide with the FRW equations. These results shed new light on recently proposed entropy bounds in the context of cosmology.
Savonije Ivo
Verlinde Erik
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