Abstract
We examine the gravitational collapse of a nonlinear 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