The Cardy-Verlinde Formula and Charged Topological AdS Black Holes

Abstract

We consider the brane universe in the bulk background of the charged topological AdS black holes. The evolution of the brane universe is described by the Friedmann equations for a flat or an open FRW-universe containing radiation and stiff matter. We find that the temperature and entropy of the dual CFT are simply expressed in terms of the Hubble parameter and its time derivative, and the Friedmann equations coincide with thermodynamic formulas of the dual CFT at the moment when the brane crosses the black hole horizon. We obtain the generalized Cardy-Verlinde formula for the CFT with an R-charge, for any values of the curvature parameter k in the Friedmann equations.

10 pages, LaTeX, references added

References in corpus (12)

• Relating Friedmann equation to Cardy formula in universes with cosmological constant
• Cardy-Verlinde Formula and AdS Black Holes
• Holography and Brane Cosmology in Domain Wall Backgrounds
• Entropy bounds, monotonicity properties and scaling in CFTs
• Bekenstein Bound, Holography and Brane Cosmology in Charged Black Hole Backgrounds
• Holography and Stiff-matter on the Brane
• CFT, Holography, and Causal Entropy Bound
• The Cardy-Verlinde Formula and Taub-Bolt-AdS Spacetimes
• Universality and a generalized C-function in CFTs with AdS Duals
• AdS/CFT and quantum-corrected brane entropy
• Quantum bounds for gravitational de Sitter entropy and the Cardy-Verlinde formula
• The Cardy-Verlinde Formula and Asymptotically Flat Charged Black Holes

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