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Self-Gravitating Non-Abelian Cosmic String Solution

Reinoud J. Slagter
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Abstract

The coupled Einstein-Yang-Mills equations on a time dependent axially symmetric spacetime are investigated, without a priori any conditions on the gauge field. There is numerical evidence for the existence of a regular solution with the desired asymptotic features. Just as in the supermassive abelian counterpart model, the formation of a singularity at finite distance of the core of the string depends critically on a parameter of the model, i.e., the constant value of one of the magnetic components of the YM potentials. The multiple-scale method could supply decisive answers concerning the stability of the solution.

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Reinoud J. Slagter. 1998-09-15. Self-Gravitating Non-Abelian Cosmic String Solution. https://doi.org/10.1103/physrevd.59.025009

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