Echoing and scaling in Einstein-Yang-Mills critical collapse

Carsten Gundlach
Phys. Rev. D 55, 6002 – Published 15 May 1997
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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.

  • Received 31 October 1996

DOI:https://doi.org/10.1103/PhysRevD.55.6002

©1997 American Physical Society

Authors & Affiliations

Carsten Gundlach

  • LAEFF-INTA (Laboratorio de Astrofísica Espacial y Física Fundamental – Instituto Nacional de Tecnología Aerospacial), P.O. Box 50727, 28080 Madrid, Spain

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Vol. 55, Iss. 10 — 15 May 1997

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