Holographic principle in the BDL brane cosmology

Abstract

We study the holographic principle in the brane cosmology. Especially we describe how to accommodate the 5D anti de Sitter Schwarzschild (AdSS${}_5$) black hole in the Binetruy-Deffayet-Langlois (BDL) approach of brane cosmology. It is easy to make a connection between a mass $M$ of the AdSS${}_5$ black hole and a conformal field theory (CFT)-radiation dominated universe on the brane in the moving domain wall approach. But this is not established in the BDL approach. In this case we use two parameters $C_1,C_2$ in the Friedmann equation. These arise from integration and are really related to the choice of initial bulk matter. If one chooses a bulk energy density ${\rho }_B$ to account for a mass $M$ of the AdSS${}_5$ black hole and the static fifth dimension, a CFT-radiation term with ${\rho }_{CFT}\sim M/a^4$ comes out from the bulk matter without introducing a localized matter distribution on the brane. This means that the holographic principle can be established in the BDL brane cosmology.

9 pages, a version to appear in PRD

References in corpus (9)

• CFT and Entropy on the Brane
• Relating Friedmann equation to Cardy formula in universes with cosmological constant
• Cardy-Verlinde Formula and AdS Black Holes
• Anti-de Sitter no-hair, AdS/CFT and the brane-world
• Entropy bounds, monotonicity properties and scaling in CFTs
• Holography and Stiff-matter on the Brane
• CFT, Holography, and Causal Entropy Bound
• Role of the brane curvature scalar in the brane world cosmology
• Casimir Effect of Graviton and the Entropy Bound

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• Holography and Brane Cosmology in Domain Wall Backgrounds
• Entropy Bounds in $R\times S^3$ Geometries
• Brane Worlds, String Cosmology, and AdS/CFT
• Bouncing and cyclic universes in the charged AdS bulk background
• Brane-Bulk Interaction and Holographic Principle
• Second-order corrections to slow-roll inflation in the brane cosmology
• Test of patch cosmology with WMAP
• Emergent Dark Matter in Late Time Universe on Holographic Screen
• Gauge/Cosmology Brane-to-Brane Duality
• Dynamics of the universe as a "test 3-brane" in a 5D bulk