Self-similar spherically symmetric wave maps coupled to gravity
General Relativity and Quantum Cosmology
2010-11-19 v1
Abstract
We investigate spherically symmetric continuously self-similar (CSS) solutions in the SU(2) sigma model coupled to gravity. Using mixed numerical and analytical methods, we provide evidence for the existence (for small coupling) of a countable family of regular CSS solutions. This fact is argued to have important implications for the ongoing studies of black hole formation in the model.
Cite
@article{arxiv.gr-qc/0006034,
title = {Self-similar spherically symmetric wave maps coupled to gravity},
author = {Piotr Bizoń and Arthur Wasserman},
journal= {arXiv preprint arXiv:gr-qc/0006034},
year = {2010}
}
Comments
13 pages, 8 figures