Phys. Rev. D 55, 6002–6013 (1997)Echoing and scaling in Einstein-Yang-Mills critical collapseReceived 31 October 1996; published in the issue dated 15 May 1997 We confirm recent numerical results of echoing and mass scaling in the gravitational collapse of a spherical Yang-Mills field by constructing the critical solution and its perturbations as an eigenvalue problem. Because the field equations are not scale invariant, the Yang-Mills critical solution is asymptotically, rather than exactly, self-similar, but the methods for dealing with discrete self-similarity developed for the real scalar field can be generalized. We find an echoing period Δ=0.73784±0.00002 and a critical exponent for the black hole mass γ=0.1964±0.0007. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.55.6002
DOI:
10.1103/PhysRevD.55.6002
PACS:
04.25.Dm, 04.20.Dw, 04.40.Nr, 64.60.Ht
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