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On Equivalence of Critical Collapse of Non-Abelian Fields

Piotr Bizon·Tadeusz Chmaj·Zbislaw Tabor
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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 $γ\approx 0.20$ and the echoing period $Δ\approx 0.74$. 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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Piotr Bizon, Tadeusz Chmaj, Zbislaw Tabor. 1999-01-14. On Equivalence of Critical Collapse of Non-Abelian Fields. https://doi.org/10.1103/physrevd.59.104003

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