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

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.

9 pages, 2 figures, PLB style

References in corpus (9)

• Gauge Theory Correlators from Non-Critical String Theory
• Spherically Collapsing Matter in AdS, Holography, and Shellons
• Black Hole Formation in AdS and Thermalization on the Boundary
• Gravitational collapse and its boundary description in AdS
• Charged False Vacuum Bubbles and the AdS/CFT Correspondence
• An Operational Approach To Black Hole Entropy
• Gravitational Collapse of a Radiating Shell
• Area scaling entropies for gravitating systems
• Effective Action and Thermodynamics of Radiating Shells in General Relativity

Cited by in corpus (6)

• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• On Field Theory Thermalization from Gravitational Collapse
• The final stage of gravitationally collapsed thick matter layers
• On the gravitational collapse in anti-de Sitter space-time
• Classical dynamics and stability of collapsing thick shells of matter
• Thermodynamics of a collapsing shell in an expanding Universe