Thermal Equilibration of Brane-Worlds

Details Thermal Equilibration of Brane-Worlds Thermal Equilibration of Brane-Worlds

2000-07-07

arxiv.org/abs/hep-th/0007060v2

Phys.Lett. B509 (2001) 163-167

Physics

High Energy Physics

High Energy Physics - Theory

4 pages REVTeX. The basic argument is simplified. Version to appear in Physics Letters B

Scientific paper

10.1016/S0370-2693(01)00535-4

We analyze the thermodynamical properties of brane-worlds, with a focus on the second model of Randall and Sundrum. We point out that during an inflationary phase on the brane, black holes will tend to be thermally nucleated in the bulk. This leads us to ask the question: Can the black hole - brane-world system evolve towards a configuration of thermal equilibrium? To answer this, we generalize the second Randall-Sundrum scenario to allow for non-static bulk regions on each side of the brane-world. Explicitly, we take the bulk to be a {\it Vaidya-AdS} metric, which describes the gravitational collapse of a spherically symmetric null dust fluid in Anti-de Sitter spacetime. Using the background subtraction technique to calculate the Euclidean action, we argue that at late times a sufficiently large black hole will relax to a point of thermal equilibrium with the brane-world environment. These results have interesting implications for early-universe cosmology.

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