Criticality and bifurcation in the gravitational collapse of a self-coupled scalar field

Eric W. Hirschmann and Douglas M. Eardley
Phys. Rev. D 56, 4696 – Published 15 October 1997
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Abstract

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.

  • Received 12 June 1997

DOI:https://doi.org/10.1103/PhysRevD.56.4696

©1997 American Physical Society

Authors & Affiliations

Eric W. Hirschmann

  • Center for Relativity, The University of Texas at Austin, Austin, Texas 78712-1081

Douglas M. Eardley

  • Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030

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Vol. 56, Iss. 8 — 15 October 1997

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