On Equivalence of Critical Collapse of Non-Abelian Fields

TL;DR

This paper investigates the gravitational collapse of spherically symmetric skyrmions, revealing critical phenomena with specific scaling exponents and suggesting a universality class shared with the Einstein-Yang-Mills model.

Contribution

It demonstrates that the critical collapse behavior of non-Abelian fields like skyrmions shares universal features with other models, indicating a common underlying physics.

Findings

Identified discretely self-similar Type II critical transition.

Measured mass scaling exponent γ ≈ 0.20.

Found echoing period Δ ≈ 0.74.

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.