On five-dimensional non-extremal charged black holes and FRW cosmology

TL;DR

This paper explores five-dimensional charged black holes in supergravity, their dual brane dynamics, and the connection to FRW cosmology, including entropy relations and effects of higher curvature terms.

Contribution

It provides a first-order flow equation framework for non-extremal charged black holes and links brane cosmology equations to entropy and Casimir energy.

Findings

Entropy expressed via Cardy-Verlinde formula

FRW equations resemble entropy and Casimir energy relations

Brief discussion on Gauss-Bonnet term effects

Abstract

We consider static non-extremal charged black hole solutions in the context of N=2 gauged supergravity theories in five dimensions, and we show that they satisfy first-order flow equations. Then we analyze the motion of the dual brane in these black hole backgrounds. We express the entropy in terms of a Cardy-Verlinde-type formula, and we show that the equations describing the FRW cosmology on the brane have a form that is similar to the equations for the entropy and for the Casimir energy on the brane. We also briefly comment on the inclusion of a Gauss-Bonnet term in the analysis.