Black Hole Evaporation and Large Extra Dimensions

Abstract

We study the evaporation of black holes in space-times with extra dimensions of size L. We first obtain a potential which describes the expected behaviors of very large and very small black holes and then show that a (first order) phase transition, possibly signaled by an outburst of energy, occurs in the system when the horizon shrinks below L from a larger value. This is related to both a change in the topology of the horizon and the restoring of the translational symmetry along the extra dimensions.

Figures (1)

• Figure 1: Sketch of the equation of state $T=T(M)$ and corresponding topology of the horizon. Mass increases to the right (time lapses towards the left).