Brane-Bulk Interaction and Holographic Principle

Details Brane-Bulk Interaction and Holographic Principle Brane-Bulk Interaction and Holographic Principle

2003-04-03

arxiv.org/abs/hep-th/0304033v1

Class.Quant.Grav. 20 (2003) L169

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, REVTEX

Scientific paper

10.1088/0264-9381/20/11/104

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 $\tilde T^t~_y \not=0$), we cannot achieve the cosmological holographic principle on the brane.

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