On Equivalence of Critical Collapse of Non-Abelian Fields

Details On Equivalence of Critical Collapse of Non-Abelian Fields On Equivalence of Critical Collapse of Non-Abelian Fields

1999-01-14

arxiv.org/abs/gr-qc/9901039v1

Phys.Rev. D59 (1999) 104003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.59.104003

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.

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