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Self-similar spherically symmetric wave maps coupled to gravity

Piotr Bizoń·Arthur Wasserman
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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.

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Piotr Bizoń, Arthur Wasserman. 2000-06-10. Self-similar spherically symmetric wave maps coupled to gravity. https://doi.org/10.1103/physrevd.62.084031

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