The Cardy-Verlinde Formula and Topological AdS-Schwarzschild Black Holes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, LaTeX, reference added

Scientific paper

10.1016/S0370-2693(01)00845-0

We consider the brane universe in the background of the topological AdS-Schwarzschild black holes. The induced geometry of the brane is that of a flat or an open radiation dominated FRW-universe. Just like the case of a closed radiation dominated FRW-universe, the temperature and entropy are simply expressed in terms of the Hubble parameter and its time derivative when the brane crosses the black hole horizon. We propose the modified Cardy-Verlinde formula which is valid for any values of the curvature parameter k in the Friedmann equations.

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