Critical collapse of the massless scalar field in axisymmetry
Abstract
We present the results from a numerical study of critical gravitational collapse of axisymmetric distributions of massless scalar field energy. We find threshold behavior that can be described by the spherically symmetric critical solution with axisymmetric perturbations. However, we see indications of a growing, nonspherical mode about the spherically symmetric critical solution. The effect of this instability is that the small asymmetry present in what would otherwise be a spherically symmetric selfsimilar solution grows. This growth continues until a bifurcation occurs and two distinct regions form on the axis, each resembling the spherically symmetric selfsimilar solution. The existence of a nonspherical unstable mode is in conflict with previous perturbative results, and we therefore discuss whether such a mode exists in the continuum limit, or whether we are instead seeing a marginally stable mode that is rendered unstable by numerical approximation.
 Publication:

Physical Review D
 Pub Date:
 August 2003
 DOI:
 10.1103/PhysRevD.68.044007
 arXiv:
 arXiv:grqc/0305003
 Bibcode:
 2003PhRvD..68d4007C
 Keywords:

 04.25.Dm;
 04.40.b;
 Numerical relativity;
 Selfgravitating systems;
 continuous media and classical fields in curved spacetime;
 General Relativity and Quantum Cosmology
 EPrint:
 11 pages, 8 figures