On the Cardy-Verlinde Entropy Formula in Viscous Cosmology

Abstract

The results of the paper of Verlinde [hep-th/0008140], discussing the holographic principle in a radiation dominated universe, are extended when allowing the cosmic fluid to possess a bulk viscosity. This corresponds to a non-conformally invariant theory. The generalization of the Cardy-Verlinde entropy formula to the case of a viscous universe seems from a formal point of view to be possible, although we question on physical grounds some elements in this kind of theory, especially the manner in which the Casimir energy is evaluated. Our discussion suggests that for non-conformally invariant theories the holographic definition of Casimir energy should be modified.

11 pages, LaTeX, no figures. Discussion added in Sec. 2. To appear in Phys. Rev. D

References in corpus (15)

• 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
• AdS/CFT and quantum-corrected brane entropy
• Casimir Effect of Graviton and the Entropy Bound
• Quantum bounds for gravitational de Sitter entropy and the Cardy-Verlinde formula
• On the Phase Transition of Conformal Field Theories with Holographic Duals
• The Cardy-Verlinde Formula and Topological AdS-Schwarzschild Black Holes
• Holographic principle in the BDL brane cosmology
• 2D Black Holes, Conformal Vacua and CFTs on the Cylinder

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