Year: 2000
Type: article
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 $\ensuremath{\Delta}=\sqrt{2}\ensuremath{\pi}=4.44,$ reproducing the symmetries of the critical Choptuik solution.
Author: Andrei V. Frolov
Institution: University of Alberta
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2075420159