Phys. Rev. D 62, 084031 (2000) [7 pages]Self-similar spherically symmetric wave maps coupled to gravityReceived 10 June 2000; published 26 September 2000 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. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.62.084031
DOI:
10.1103/PhysRevD.62.084031
PACS:
04.20.Dw, 04.20.Ex
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