Phys. Rev. D 61, 084006 (2000) [14 pages]Continuous self-similarity breaking in critical collapseReceived 17 August 1999; published 20 March 2000 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 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 an echoing period Δ=√2π=4.44, reproducing the symmetries of the critical Choptuik solution. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.084006
DOI:
10.1103/PhysRevD.61.084006
PACS:
04.70.Bw, 05.70.Jk
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