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Echoing and scaling in Einstein-Yang-Mills critical collapse

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 ?=0.73784±0.00002 and a critical exponent for the black hole mass ?=0.1964±0.0007.
1550-7998
6002-6013
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc

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).

Record type: Article

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

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Published date: 1997

Identifiers

Local EPrints ID: 29172
URI: http://eprints.soton.ac.uk/id/eprint/29172
ISSN: 1550-7998
PURE UUID: 45cd612c-6d03-4956-b51e-e58290ec2c8a
ORCID for Carsten Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

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Date deposited: 07 Feb 2007
Last modified: 16 Mar 2024 03:15

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