Analytical approach to critical collapse in 2+1 dimensions
General Relativity and Quantum Cosmology
2007-05-23 v1 High Energy Physics - Theory
Abstract
We present a family of time-dependent solutions to 2+1 gravity with negative cosmological constant and a massless scalar field as source. These solutions are continuously self-similar near the central singularity. We analyze linear perturbations of these solutions, and discuss the subtle question of boundary conditions. We find two growing modes, one of which corresponds to the linearization of static singular solutions, while the other describes black hole formation.
Keywords
Cite
@article{arxiv.gr-qc/0112023,
title = {Analytical approach to critical collapse in 2+1 dimensions},
author = {Gerard Clement and Alessandro Fabbri},
journal= {arXiv preprint arXiv:gr-qc/0112023},
year = {2007}
}
Comments
9 pages, 2 figures, plenary talk presented at the V$^{th}$ International Conference on Gravitation and Astrophysics of Asian-Pacific Countries, Moscow 2001