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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Original Publication URL: http://dx.doi.org/10.1103/PhysRevD.55.6002

Description/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.

Item Type: Article
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
Date Deposited: 07 Feb 2007
Last Modified: 27 Mar 2014 18:17
URI: http://eprints.soton.ac.uk/id/eprint/29172

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