Hawking Evaporation Time Scale of Topological Black Holes in Anti-de Sitter Spacetime

TL;DR

This paper demonstrates that in anti-de Sitter spacetime, black holes with various horizon topologies, including toral and hyperbolic, evaporate in a finite time scale, primarily dependent on the AdS length scale.

Contribution

It generalizes previous findings by showing that the evaporation time scale is similar across different horizon topologies in AdS black holes within general relativity.

Findings

Black holes with different topologies evaporate in finite time.

Evaporation time is roughly the same for all neutral AdS black holes of a given size.

The study includes a brief discussion on hyperbolic horizon black holes.

Abstract

It was recently pointed out that if an absorbing boundary condition is imposed at infinity, an asymptotically anti-de Sitter Schwarzschild black hole with a spherical horizon takes only a finite amount of time to evaporate away even if its initial mass is arbitrarily large. We show that this is a rather generic property in AdS spacetimes: regardless of their horizon topologies, neutral AdS black holes in general relativity take about the same amount of time to evaporate down to the same size of order L, the AdS length scale. Our discussion focuses on the case in which the black hole has toral event horizon. A brief comment is made on the hyperbolic case, i.e. for black holes with negatively curved horizons.