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Continuous Self-Similarity Breaking in Critical Collapse

Andrei V. Frolov
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Abstract

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 $Δ= \sqrt{2}π= 4.44$, reproducing the symmetries of the critical Choptuik solution.

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BibTeXRIS

Andrei V. Frolov. 1999-12-24. Continuous Self-Similarity Breaking in Critical Collapse. https://doi.org/10.1103/physrevd.61.084006

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