Phys. Rev. D 56, 4696–4705 (1997)Criticality and bifurcation in the gravitational collapse of a self-coupled scalar fieldReceived 12 June 1997; published in the issue dated 15 October 1997 We examine the gravitational collapse of a nonlinear σ model in spherical symmetry. There exists a family of continuously self-similar solutions parametrized by the coupling constant of the theory. These solutions are calculated together with the critical exponents for black hole formation of these collapse models. We also find that the sequence of solutions exhibits a Hopf-type bifurcation as the continuously self-similar solutions become unstable to perturbations away from self-similarity. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.56.4696
DOI:
10.1103/PhysRevD.56.4696
PACS:
04.20.Dw, 04.20.Jb
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