Gravitational collapse in 2+1 dimensional AdS spacetime
Abstract
We present results of numerical simulations of the formation of black holes from the gravitational collapse of a massless, minimally-coupled scalar field in 2+1 dimensional, axially-symmetric, anti de-Sitter (AdS) spacetime. The geometry exterior to the event horizon approaches the BTZ solution, showing no evidence of scalar `hair'. To study the interior structure we implement a variant of black-hole excision, which we call singularity excision. We find that interior to the event horizon a strong, spacelike curvature singularity develops. We study the critical behavior at the threshold of black hole formation, and find a continuously self-similar solution and corresponding mass-scaling exponent of approximately 1.2. The critical solution is universal to within a phase that is related to the angle deficit of the spacetime.
Cite
@article{arxiv.gr-qc/0007008,
title = {Gravitational collapse in 2+1 dimensional AdS spacetime},
author = {Frans Pretorius and Matthew W. Choptuik},
journal= {arXiv preprint arXiv:gr-qc/0007008},
year = {2009}
}
Comments
31 pages, 20 figures, LaTeX. Replaced with version to be published in Phys. Rev. D