Continuous Self-Similarity Breaking in Critical Collapse

Details Continuous Self-Similarity Breaking in Critical Collapse Continuous Self-Similarity Breaking in Critical Collapse

1999-08-16

arxiv.org/abs/gr-qc/9908046v2

Phys.Rev. D61 (2000) 084006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX 3.1, 28 pages, 5 figures; discussion rewritten to clarify several issues

Scientific paper

10.1103/PhysRevD.61.084006

This paper studies near-critical evolution of the spherically symmetric scalar field configurations close to the continuously self-similar solution. Using analytic perturbative methods, it is shown that a generic growing perturbation departs from the critical Roberts solution in a universal way. We argue that in the course of its evolution, initial continuous self-similarity of the background is broken into discrete self-similarity with echoing period $\Delta = \sqrt{2}\pi = 4.44$, reproducing the symmetries of the critical Choptuik solution.

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