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Holographic principle in the BDL brane cosmology | N. J. Kim
; H. W. Lee
; Y. S. Myung
; Gungwon Kang
; | Date: |
19 Apr 2001 | Journal: | Phys.Rev. D64 (2001) 064022 | Subject: | hep-th | Affiliation: | Inje Univ.), H. W. Lee (Inje Univ.), Y. S. Myung (Inje Univ.), Gungwon Kang (KEK | Abstract: | We study the holographic principle in the brane cosmology. Especially we describe how to accommodate the 5D anti de Sitter Schwarzschild (AdSS$_5$) 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 AdSS$_5$ 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 $C_1, C_2$ 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 $
ho_B$ to account for a mass $M$ of the AdSS$_5$ black hole and the static fifth dimension, a CFT-radiation term with $
ho_{CFT} sim 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. | Source: | arXiv, hep-th/0104159 | Services: | Forum | Review | PDF | Favorites |
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