How Anti-de Sitter Black Holes Reach Thermal Equilibrium

TL;DR

This paper investigates how large toroidal black holes in anti-de Sitter space reach thermal equilibrium through Hawking evaporation, showing they can evolve into smaller, stable black holes.

Contribution

It provides an explicit model demonstrating the process by which large toroidal black holes attain thermal equilibrium in anti-de Sitter spacetime.

Findings

Large black holes can evolve into smaller stable black holes.

Thermal equilibrium is achievable through Hawking evaporation.

The model clarifies the dynamics of black hole size change in AdS space.

Abstract

It is commonly known in the literature that large black holes in anti-de Sitter spacetimes (with reflective boundary condition) are in thermal equilibrium with their Hawking radiation. Focusing on black holes with event horizon of toroidal topology, we study a simple model to understand explicitly how this thermal equilibrium is reached under Hawking evaporation. It is shown that it is possible for a large toroidal black hole to evolve into a small (but stable) one.