Critical Collapse of the Massless Scalar Field in Axisymmetry
arXiv:gr-qc/0305003 · doi:10.1103/PhysRevD.68.044007
Abstract
We present 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, non-spherical 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 self-similar solution grows. This growth continues until a bifurcation occurs and two distinct regions form on the axis, each resembling the spherically symmetric self-similar solution. The existence of a non-spherical 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.
11 pages, 8 figures
References in corpus (9)
- Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
- Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---
- Critical phenomena in gravitational collapse (Physics Reports)
- Scaling of curvature in sub-critical gravitational collapse
- All nonspherical perturbations of the Choptuik spacetime decay
- An Axisymmetric Gravitational Collapse Code
- The Singularity Threshold of the Nonlinear Sigma Model Using 3D Adaptive Mesh Refinement
- Critical gravitational collapse of a perfect fluid: nonspherical perturbations
- Symmetry-seeking spacetime coordinates
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