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

Abstract

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.

9 pages, LaTeX, reference added

References in corpus (3)

• Relating Friedmann equation to Cardy formula in universes with cosmological constant
• Entropy bounds, monotonicity properties and scaling in CFTs
• Holography and Stiff-matter on the Brane

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