Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-10-29
Phys.Rev. D67 (2003) 124021
Physics
High Energy Physics
High Energy Physics - Theory
Revtex, 20 pages including 3 eps figures, the version to appear in PRD
Scientific paper
10.1103/PhysRevD.67.124021
We discuss the holographic principle in a radiation-dominated, closed Friedmann-Robertson-Walker (FRW) universe with a positive cosmological constant. By introducing a cosmological D-bound on the entropy of matter in the universe, we can write the Friedmann equation governing the evolution of the universe in the form of the Cardy formula. When the cosmological D-bound is saturated, the Friedmann equation coincides with the Cardy-Verlinde formula describing the entropy of radiation in the universe. As a concrete model, we consider a brane universe in the background of Schwarzschild-de Sitter black holes. It is found that the cosmological D-bound is saturated when the brane crosses the black hole horizon of the background. At that moment, the Friedmann equation coincides with the Cardy-Verlinde formula describing the entropy of radiation matter on the brane.
Cai Rong-Gen
Myung Yun Soo
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