Thermodynamics for radiating shells in anti-de Sitter space-time

TL;DR

This paper develops a thermodynamic framework for radiating shells collapsing in anti-de Sitter space-time, revealing potential phase transitions and divergences in thermodynamic quantities before black hole formation.

Contribution

It introduces a thermodynamic description of shell collapse in AdS space, highlighting divergences and phase transition possibilities not present in flat space.

Findings

Specific heat diverges before black hole formation

Thermodynamic quantities indicate phase transition potential

Differences from asymptotically flat space are analyzed

Abstract

A thermodynamical description for the quasi-static collapse of radiating, self-gravitating spherical shells of matter in anti-de Sitter space-time is obtained. It is shown that the specific heat at constant area and other thermodynamical quantities may diverge before a black hole has eventually formed. This suggests the possibility of a phase transition occurring along the collapse process. The differences with respect to the asymptotically flat case are also highlighted.