Radially infalling brane and moving domain wall in the brane cosmology

Abstract

We discuss the brane cosmology in the 5D anti de Sitter Schwarzschild (AdSS${}_5$) spacetime. A brane with the tension $\sigma$ is defined as the edge of an AdSS${}_5$ space. We point out that the location of the horizon is an apparently, singular point at where we may not define an embedding of the AdSS${}_5$ spacetime into the moving domain wall (MDW). We resolve this problem by introducing a radially infalling brane (RIB) in AdSS${}_5$ space, where an apparent singularity turns out to be a coordinate one. Hence the CFT/FRW-cosmology is well-defined at the horizon. As an example, an universal Cardy formula for the entropy of the CFT can be given by the Friedmann equation at the horizon.

arXiv comment9 pages, REVTEX

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