AdS/CFT and quantum-corrected brane entropy

Abstract

It is shown that quantum-induced (inflationary) brane Universe occurs in the bulk 5d AdS black hole in accordance with AdS/CFT correspondence. Brane stress tensor is induced by quantum effects of dual CFT and brane crosses the horizon of AdS black hole. Quantum-corrected Hubble constant, Hawking temperature and entropy are found on the brane (and at the horizon). The similarity between CFT entropy at the horizon and FRW equations is extended on the quantum level. This suggests the way to understand cosmological entropy bounds in quantum gravity.

LaTeX file 17 pages, discussion is extended, version to appear in CQG

References in corpus (2)

• String versus Einstein frame in an AdS/CFT induced quantum dilatonic brane-world universe
• Supersymmetric new brane-world

Cited by in corpus (35)

• Dynamics of dark energy
• Properties of singularities in (phantom) dark energy universe
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Entropy and universality of Cardy-Verlinde formula in dark energy universe
• Friedmann-Robertson-Walker brane cosmological equations from the five-dimensional bulk (A)dS black hole
• Cardy-Verlinde Formula and Asymptotically de Sitter Spaces
• On the Cardy-Verlinde Entropy Formula in Viscous Cosmology
• Bouncing and cyclic universes from brane models
• de Sitter thermodynamics and the braneworld
• Exact braneworld cosmology induced from bulk black holes
• dS/CFT correspondence on a brane
• The Cardy-Verlinde Formula and Taub-Bolt-AdS Spacetimes
• A Note on the Cardy-Verlinde Formula
• Some thick brane solutions in $f(R)$-gravity
• Universality and a generalized C-function in CFTs with AdS Duals
• Cardy-Verlinde Entropy Formula in the Presence of a General Cosmological State Equation
• The Cardy-Verlinde Formula and Charged Topological AdS Black Holes
• Cardy-Verlinde Formula and Achucarro-Ortiz Black Hole
• Entropy Bounds in $R\times S^3$ Geometries
• A plausible upper limit on the number of e-foldings
• Cardy-Verlinde Formula and entropy bounds in Kerr-Newman-AdS${}_4$/dS${}_4$ black holes backgrounds
• CFTs on Non-Critical Braneworlds
• The Cardy-Verlinde Formula and Asymptotically Flat Charged Black Holes
• Bouncing and cyclic universes in the charged AdS bulk background
• Nonsingular Cosmologies from Branes
• On the Hawking-Page Transition and the Cardy-Verlinde formula
• Brane-Bulk Interaction and Holographic Principle
• The Cardy-Verlinde Formula and Asymptotically de Sitter Brane Universe
• Entropy bounds for massive scalar field in positive curvature space
• Probing the Holography of Near-Horizon AdS(5)xS(5) Geometry
• CFT on the Brane with a Reissner-Nordstrom-de Sitter Twist
• Transition between phantom and non-phantom phases with time dependent cosmological constant and Cardy-Verlinde formula
• Brane classical and quantum cosmology from an effective action
• Quantum effects from particle production on background evolution and Cardy-Verlinde formula in f(R) gravity
• Generalized Holographic Cosmology: low-redshift observational constraint