# Self-similar spherically symmetric wave maps coupled to gravity

@article{Bizon2000SelfsimilarSS,
title={Self-similar spherically symmetric wave maps coupled to gravity},
author={Piotr Bizo'n and Arthur G. Wasserman},
journal={Physical Review D},
year={2000},
volume={62},
pages={084031}
}
• Published 10 June 2000
• Mathematics
• Physical Review D
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.
5 Citations

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