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arXiv · hep-th/0304033

Brane-Bulk Interaction and Holographic Principle

Y. S. Myung·Jin Young Kim
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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 $\tilde T^t~_y \not=0$), we cannot achieve the cosmological holographic principle on the brane.

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Y. S. Myung, Jin Young Kim. 2003-04-03. Brane-Bulk Interaction and Holographic Principle. https://doi.org/10.1088/0264-9381%2F20%2F11%2F104

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