Brane Cosmology with Non-Static Bulk

TL;DR

This paper investigates brane cosmology within a non-static bulk modeled by Vaidya-AdS spacetime, analyzing black hole nucleation, thermodynamics, and late-time behavior with implications for early universe cosmology.

Contribution

It generalizes the Randall-Sundrum scenario to non-static bulk, exploring black hole thermodynamics and late-time equilibrium in brane-world cosmology.

Findings

Black holes tend to be thermally nucleated during inflation.

The system reaches thermal equilibrium at late times.

Large black holes relax to equilibrium with the brane environment.

Abstract

We study the brane world motion in non-static bulk by generalizing the second Randall-Sundrum scenario Explicitly, we take the bulk to be a Vaidya-AdS metric, which describes the gravitational collapse of a spherically symmetric null dust fluid in Anti-de Sitter spacetime. We point out that during an inflationary phase on the brane, black holes will tend to be thermally nucleated in the bulk We analyze the thermodynamical properties of this brane-world.We point out that during an inflationary phase on the brane, black holes will tend to be thermally nucleated in the bulk. Thermal equilibrium of the system is discussed. We calculate the late time behavior of this system, including 1-loop effects. We argue that at late times a sufficiently large black hole will relax to a point of thermal equilibrium with the brane-world environment. This result has interesting implications for early-universe cosmology.