Black Hole Evaporation and Large Extra Dimensions

TL;DR

This paper investigates black hole evaporation in higher-dimensional space-times, revealing a phase transition associated with horizon size and topology change when the black hole shrinks below the size of extra dimensions.

Contribution

It introduces a potential model for black hole behavior in extra dimensions and identifies a first-order phase transition during evaporation.

Findings

Phase transition occurs when horizon shrinks below L

Change in horizon topology and symmetry restoration

Energy outburst possibly signals the transition

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.