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Echoing and scaling in Einstein-Yang-Mills critical collapse

Echoing and scaling in Einstein-Yang-Mills critical collapse 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 . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Echoing and scaling in Einstein-Yang-Mills critical collapse

Physical Review D , Volume 55 (10) – May 15, 1997
12 pages

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References (9)

Publisher
American Physical Society (APS)
Copyright
Copyright © 1997 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.55.6002
Publisher site
See Article on Publisher Site

Abstract

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 .

Journal

Physical Review DAmerican Physical Society (APS)

Published: May 15, 1997

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