Brane-Bulk Interaction and Holographic Principle

Abstract

We introduce the brane-bulk interaction to discuss a limitation of the cosmological Cardy-Verlinde formula which is useful for the holographic description of brane cosmology. In the presence of the brane-bulk interaction, we cannot find the entropy representation of the first Friedmann equation (the cosmological Cardy-Verlinde formula). In the absence of the interaction, the cosmological Cardy-Verlinde formula is established even for the time-dependent charged AdS background. Hence, if there exists a dynamic exchange of energy between the brane and the bulk (that is, if ${\tilde{T}}^t{}_y\ne 0$), we cannot achieve the cosmological holographic principle on the brane.

9 pages, REVTEX

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• Entropy and universality of Cardy-Verlinde formula in dark energy universe
• de Sitter thermodynamics and the braneworld
• Observational Constraints on Accelerating Brane Cosmology with Exchange between the Bulk and Brane
• Holographic interacting dark energy in the braneworld cosmology
• Reheating the Universe in Braneworld Cosmological Models with bulk-brane energy transfer
• Energy from the Bulk through Parametric Resonance
• Second-order corrections to slow-roll inflation in the brane cosmology
• Test of patch cosmology with WMAP
• A dark radiation era prior to the inflationary phase
• A Study on Ricci Dark Energy in Bulk-Brane Interaction