New Features of Gravitational Collapse in Anti-de Sitter Spacetimes

Abstract

Gravitational collapse of a massless scalar field in spherically symmetric anti-de Sitter (AdS) spacetimes presents a new phenomenology with a series of critical points whose dynamics is discretely self-similar as in the asymptotically flat case. Each critical point is the limit of a branch of scalar field configurations that have bounced off the AdS boundary a fixed number of times before forming an apparent horizon. We present results from a numerical study that focus on the interfaces between branches. We find that there is a mass gap between branches and that subcritical configurations near the critical point form black holes with an apparent horizon mass that follows a power law of the form $M_{AH}-M_g\propto (p_c-p{)}^{\xi }$, where $M_g$ is the mass gap and the exponent $\xi \simeq 0.7$ appears to be universal.

5 pages, 5 figures. Corrects typos and adds clarifications to match the published version