Continuous self-similarity breaking in critical collapse

Andrei V. Frolov
Phys. Rev. D 61, 084006 – Published 20 March 2000
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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 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.

  • Received 17 August 1999

DOI:https://doi.org/10.1103/PhysRevD.61.084006

©2000 American Physical Society

Authors & Affiliations

Andrei V. Frolov*

  • Physics Department, University of Alberta, Edmonton, Alberta, Canada T6G 2J1

  • *Email address: andrei@phys.ualberta.ca

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Vol. 61, Iss. 8 — 15 April 2000

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