Eric W. Hirschmann, Douglas M. Eardley
Published 1995-11-18Version 1
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.
Comments: 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
Instability of black hole formation in gravitational collapse
Black hole formation from the gravitational collapse of a non-spherical network of structures
Gravitational Collapse and Black Hole Formation in a Braneworld
