Paper
Holographic principle in the BDL brane cosmology
Published Apr 19, 2001 · N. Kim, H. W. Lee, Y. S. Myung
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Abstract
We study the holographic principle in the brane cosmology. Especially we describe how to accommodate the 5D anti de Sitter Schwarzschild (AdSS5) 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 AdSS5 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 C1, C2 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 ρB to account for a mass M of the AdSS5 black hole and the static fifth dimension, a CFTradiation term with ρCFT ∼ 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. E-mail address: dtpnjk@ijnc.inje.ac.kr E-mail address: hwlee@physics.inje.ac.kr E-mail address: ysmyung@physics.inje.ac.kr gwkang@post.kek.jp
The holographic principle can be established in the BDL brane cosmology by accommodating the 5D anti de Sitter Schwarzschild (AdSS5) black hole and static fifth dimension without introducing localized matter distribution on the brane.
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