Criticality and Bifurcation in the Gravitational Collapse of a Self-Coupled Scalar Field

Details Criticality and Bifurcation in the Gravitational Collapse of a Self-Coupled Scalar Field Criticality and Bifurcation in the Gravitational Collapse of a Self-Coupled Scalar Field

1995-11-18

arxiv.org/abs/gr-qc/9511052v1

Phys.Rev.D56:4696-4705,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages; one figure, uuencoded postscript; figure is also available at http://www.physics.ucsb.edu/people/eric_hirschmann

Scientific paper

10.1103/PhysRevD.56.4696

We examine the gravitational collapse of a non-linear sigma model in spherical symmetry. There exists a family of continuously self-similar solutions parameterized 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.

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