Self-similar spherically symmetric wave maps coupled to gravity

Details Self-similar spherically symmetric wave maps coupled to gravity Self-similar spherically symmetric wave maps coupled to gravity

2000-06-10

arxiv.org/abs/gr-qc/0006034v1

Phys.Rev.D62:084031,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 8 figures

Scientific paper

10.1103/PhysRevD.62.084031

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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