Thermodynamics for radiating shells in anti-de Sitter space-time
arXiv:gr-qc/0302038 · doi:10.1016/S0370-2693(03)00185-0
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