Bekenstein Bound, Holography and Brane Cosmology in Charged Black Hole Backgrounds

Abstract

We obtain a Bekenstein entropy bound for the charged objects in arbitrary dimensions ($D\ge 4$) using the D-bound recently proposed by Bousso. With the help of thermodynamics of CFTs corresponding to AdS Reissner-Norström (RN) black holes, we discuss the relation between the Bekenstein and Bekenstein-Verlinde bounds. In particular we propose a Bekenstein-Verlinde-like bound for the charged systems. In the Einstein-Maxwell theory with a negative cosmological constant, we discuss the brane cosmology with positive tension using the Binetruy-Deffayet-Langlois approach. The resulting Friedman-Robertson-Walker equation can be identified with the one obtained by the moving domain wall approach in the AdS RN black hole background. Finally we also address the holographic property of the brane universe.

Latex, 17 pages, v2: minor changes, a reference added

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• On the Cardy-Verlinde Entropy Formula in Viscous Cosmology
• Holography, UV/IR Relation, Causal Entropy Bound and Dark Energy
• Entropy of the three dimensional Schwarzschild-de Sitter black hole
• Bouncing and cyclic universes from brane models
• Holography in a Radiation-dominated Universe with a Positive Cosmological Constant
• de Sitter thermodynamics and the braneworld
• Exact braneworld cosmology induced from bulk black holes
• A Note on the Cardy-Verlinde Formula
• No Hawking-Page phase transition in three dimensions
• On five-dimensional non-extremal charged black holes and FRW cosmology
• The Cardy-Verlinde Formula and Charged Topological AdS Black Holes
• On phantom thermodynamics with negative temperature
• Entropy Bounds in $R\times S^3$ Geometries
• Cardy-Verlinde Formula and entropy bounds in Kerr-Newman-AdS${}_4$/dS${}_4$ black holes backgrounds
• Holography and Entropy Bounds in Gauss-Bonnet Gravity
• Thermodynamics of Dual CFTs for Kerr-AdS Black Holes
• Holographic complexity growth in a FLRW universe
• A Review of the N-bound and the Maximal Mass Conjectures Using NUT-Charged dS Spacetimes
• Holography, the Cosmological Constant and the Upper Limit of the Number of e-foldings
• Bouncing and cyclic universes in the charged AdS bulk background
• Entanglement system, Casimir energy and black hole
• Nonsingular Cosmologies from Branes
• Brane-Bulk Interaction and Holographic Principle
• The Cardy-Verlinde Formula and Asymptotically de Sitter Brane Universe
• Black holes in which the electrostatic or scalar equation is solvable in closed form
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• Test of patch cosmology with WMAP
• Probing the Holography of Near-Horizon AdS(5)xS(5) Geometry
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• CFT on the Brane with a Reissner-Nordstrom-de Sitter Twist
• Tachyon condensation and off-shell gravity/gauge duality
• Five-Dimensional Black Hole String Backgrounds and Brane Universe Acceleration
• Sparseness bounds on local operators in holographic $CF{T}_d$
• A Note on the Positive Constant Curvature Space
• Universe Acceleration in Brane World Models
• Anatomy of a Bounce