Continuous self-similarity breaking in critical collapse - art. no. 084006

Authors
Citation
Av. Frolov, Continuous self-similarity breaking in critical collapse - art. no. 084006, PHYS REV D, 6108(8), 2000, pp. 4006
Citations number
16
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
05562821 → ACNP
Volume
6108
Issue
8
Year of publication
2000
Database
ISI
SICI code
0556-2821(20000415)6108:8<4006:CSBICC>2.0.ZU;2-0
Abstract
This paper studies near-critical evolution of the spherically symmetric sca lar field configurations close to the continuously self-similar solution. U sing analytic perturbative methods, it is shown that a generic growing pert urbation departs from the Roberts solution in a universal way. We argue tha t in the course of its evolution, initial continuous self-similarity of the background is broken into discrete self-similarity with an echoing period Delta = root 2 pi = 4.44, reproducing the symmetries of the critical Choptu ik solution.