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28 March 2024
 
  » arxiv » gr-qc/9908046

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Continuous Self-Similarity Breaking in Critical Collapse
Andrei V. Frolov ;
Date 17 Aug 1999
Journal Phys.Rev. D61 (2000) 084006
Subject gr-qc
AbstractThis 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.
Source arXiv, gr-qc/9908046
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