Scaling of curvature in sub-critical gravitational collapse
General Relativity and Quantum Cosmology
2010-11-19 v2
Abstract
We perform numerical simulations of the gravitational collapse of a spherically symmetric scalar field. For those data that just barely do not form black holes we find the maximum curvature at the position of the central observer. We find a scaling relation between this maximum curvature and distance from the critical solution. The scaling relation is analogous to that found by Choptuik for black hole mass for those data that do collapse to form black holes. We also find a periodic wiggle in the scaling exponent.
Keywords
Cite
@article{arxiv.gr-qc/9802061,
title = {Scaling of curvature in sub-critical gravitational collapse},
author = {David Garfinkle and G. Comer Duncan},
journal= {arXiv preprint arXiv:gr-qc/9802061},
year = {2010}
}
Comments
Revtex, 2 figures, Discussion modified, to appear in Phys. Rev. D