Echoing and scaling in Einstein-Yang-Mills critical collapse

Gundlach, Carsten (1997) Echoing and scaling in Einstein-Yang-Mills critical collapse. Physical Review D, 55, (10), 6002-6013. (doi:10.1103/PhysRevD.55.6002).


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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 ?=0.73784±0.00002 and a critical exponent for the black hole mass ?=0.1964±0.0007.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1103/PhysRevD.55.6002
Related URLs:
Subjects: Q Science > QB Astronomy
Q Science > QA Mathematics
Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29172
Accepted Date and Publication Date:
Date Deposited: 07 Feb 2007
Last Modified: 31 Mar 2016 11:54

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