Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-11-15
J.KoreanPhys.Soc.42:S105,2003
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, Talk at the 7th Italian-Korean Symposium on Relativistic Astrophysics, Kimhae, Korea, 23-28 July 2001
Scientific paper
We review the relation between entropy bounds to rewrite Friedmann equation on the brane in terms of three entropy bounds: Bekenstein-Verlinde ($S_{BV}$); Bekenstein-Hawking bound ($S_{BH}$); Hubble bound ($S_H$). For a strongly coupled conformal field theory (CFT) with a dual 5-dimensional anti de Sitter Schwarzschild (AdSS$_5$) black hole, we can easily establish the connection between the Cardy-Verlinde formula on the CFT side and the entropy representation of Friedmann equation in cosmology. In this case its cosmological evolution for entropy is given by the semi-circle. However, for the matter-dominated case, we find that the cosmological evolution diagram takes a different form of the cycloid. Here we propose two different entropy relations for matter-dominated case. It turns out that the Verlinde's entropy relation so restricted that it may not be valid for the matter-dominated universe.
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