CFT and Entropy on the Brane

By Ivo Savonije, Erik P. Verlinde. 2001

143 citations recorded by the source corpus.

We consider a brane-universe in the background of an anti-de-Sitter/Schwarzschild geometry. We show that the induced geometry of the brane is exactly given by that of a standard radiation dominated FRW-universe. The radiation is represented by a strongly coupled CFT with an AdS-dual description. We show that when the brane crosses the horizon of the AdS-black hole the entropy and temperature are simply expressed in the Hubble constant and its time derivative. We present formulas for the entropy of the CFT which are generally valid, and which at the horizon coincide with the FRW equations. These results shed new light on recently proposed entropy bounds in the context of cosmology.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1c055d0d908f2a37062092d56b6cd52101546c90

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Citations in the corpus

Modified Gravity and Cosmology (2011, background): “In the holographic description of RS2, the ρ(2) corrections contribute to the conformal anomaly [1138], while the dark radiation is identified with thermal excitations of the CFT [570, 1100, 1009, 556, 1014, 596].”
FRIEDMANN–ROBERTSON–WALKER BRANE COSMOLOGICAL EQUATIONS FROM THE FIVE-DIMENSIONAL BULk (A)dS BLACK HOLE (2002, methodology): “Following the method of the work [ 18 ], one rewrites AdS Schwarzschild metric (3.3) in the form of FRW metric by using a new time parameter τ. Note that the parameters t and a in (3.3) are the functions of τ, namely a = a(τ), t = t(τ).”
Brane-World Gravity (2004, methodology): “The RS model with its AdS5 metric satisfies this correspondence to lowest perturbative order [129] (see also [342, 375, 193, 386, 390, 290, 347, 180] for the AdS/CFT correspondence in a cosmological context).”