Episodic Self-Similarity in Critical Gravitational Collapse
Abstract
We report on a new behavior found in numerical simulations of spherically symmetric gravitational collapse in self-gravitating SU(2) sigma models at intermediate gravitational coupling constants: The critical solution (between black hole formation and dispersion) closely approximates the continuously self-similar (CSS) solution for a finite time interval, then departs from this, and then returns to CSS again. This cycle repeats several times, each with a different CSS accumulation point. We have preliminary evidence that this same critical solution is also discretely self-similar (DSS) between the CSS episodes, but with an echoing period which varies during the evolution.
Keywords
Cite
@article{arxiv.gr-qc/0012043,
title = {Episodic Self-Similarity in Critical Gravitational Collapse},
author = {J. Thornburg and Ch. Lechner and M. Purrer and P. C. Aichelburg and S. Husa},
journal= {arXiv preprint arXiv:gr-qc/0012043},
year = {2007}
}
Comments
LaTeX, 2 pages including 1 postscript figure; uses World Scientific style file ws-p9-75x6-50.cls (enclosed); to appear in Proceedings of the 9th Marcel Grossman Meeting; talk presented 5 July 2000 in MG9 session SG1a (Self-Gravitating Systems)