Cardy-Verlinde Formula and Asymptotically de Sitter Spaces

Abstract

In this paper we discuss the question of whether the entropy of cosmological horizon in some asymptotically de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field theory in any dimension. For the Schwarzschild-de Sitter solution, although the gravitational mass is always negative (in the sense of the prescription in hep-th/0110108 to calculate the conserved charges of asymptotically de Sitter spaces), we find that indeed the entropy of cosmological horizon can be given by using naively the Cardy-Verlinde formula. The entropy of pure de Sitter spaces can also be expressed by the Cardy-Verlinde formula. For the topological de Sitter solutions, which have a cosmological horizon and a naked singularity, the Cardy-Verlinde formula also works well. Our result is in favour of the dS/CFT correspondence.

Latex, 12 pages, v2: references corrected

References in corpus (35)

• The dS/CFT Correspondence
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Weyl Cohomology and the Effective Action for Conformal Anomalies
• Cosmological and black hole brane-world Universes in higher derivative gravity
• CFT and Entropy on the Brane
• Deconstructing de Sitter
• Relating Friedmann equation to Cardy formula in universes with cosmological constant
• De Sitter Space in Supergravity and M Theory
• Conformal anomaly from dS/CFT correspondence
• Cardy-Verlinde Formula and AdS Black Holes
• On the Cardy-Verlinde Entropy Formula in Viscous Cosmology
• Check of the Mass Bound Conjecture in the de Sitter Space
• Quantum cosmology, inflationary brane-world creation and dS/CFT correspondence
• Friedmann equation and Cardy formula correspondence in brane universes
• 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
• The Asymptotic Dynamics of de Sitter Gravity in three Dimensions
• Holography and Stiff-matter on the Brane
• Matrix Model for De Sitter
• 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
• Quantization of the massless minimally coupled scalar field and the dS/CFT correspondence
• The Cardy-Verlinde Formula and Charged Topological AdS Black Holes
• De Sitter Entropy and Strings
• The asymptotic symmetry of de Sitter spacetime
• 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 Asymptotically Flat Charged Black Holes
• The Cardy-Verlinde Formula and Topological AdS-Schwarzschild Black Holes
• Standard cosmology from the brane cosmology with a localized matter
• Holographic principle in the BDL brane cosmology

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