On Equivalence of Critical Collapse of Non-Abelian Fields

Abstract

We continue our study of the gravitational collapse of spherically symmetric skyrmions. For certain families of initial data, we find the discretely self-similar Type II critical transition characterized by the mass scaling exponent $\gamma \approx 0.20$ and the echoing period $\Delta \approx 0.74$. We argue that the coincidence of these critical exponents with those found previously in the Einstein-Yang-Mills model is not accidental but, in fact, the two models belong to the same universality class.

7 pages, REVTex, 2 figures included, accepted for publication in Physical Review D

References in corpus (1)

• Critical Collapse of Skyrmions

Cited by in corpus (7)

• Critical phenomena in gravitational collapse
• Critical phenomena in gravitational collapse (Physics Reports)
• Critical phenomena in gravitational collapse - Living Reviews
• New Critical Behavior in Einstein-Yang-Mills Collapse
• Type II Critical Collapse of a Self-Gravitating Nonlinear $\sigma$-Model
• Unveiling horizons in quantum critical collapse
• Self-similarity and singularity formation in a coupled system of Yang-Mills-dilaton evolution equations