{
  "id": "gr-qc/9511052",
  "version": "v1",
  "published": "1995-11-18T00:06:56.000Z",
  "updated": "1995-11-18T00:06:56.000Z",
  "title": "Criticality and Bifurcation in the Gravitational Collapse of a Self-Coupled Scalar Field",
  "authors": [
    "Eric W. Hirschmann",
    "Douglas M. Eardley"
  ],
  "comment": "18 pages; one figure, uuencoded postscript; figure is also available at http://www.physics.ucsb.edu/people/eric_hirschmann",
  "journal": "Phys.Rev.D56:4696-4705,1997",
  "doi": "10.1103/PhysRevD.56.4696",
  "categories": [
    "gr-qc"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-11-18T00:06:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.20.Jb",
      "04.20.Dw"
    ],
    "keywords": [
      "self-coupled scalar field",
      "gravitational collapse",
      "continuously self-similar solutions",
      "criticality",
      "black hole formation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 402477
    }
  }
}