Continuous Self-Similarity Breaking in Critical Collapse

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

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

References in corpus (1)

• Critical Collapse Beyond Spherical Symmetry: General Perturbations of the Roberts Solution

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