Self-Gravitating Non-Abelian Cosmic String Solution

TL;DR

This paper investigates self-gravitating non-Abelian cosmic string solutions within Einstein-Yang-Mills theory, providing numerical evidence for their existence and exploring conditions for regularity and singularity formation.

Contribution

It presents the first numerical evidence for regular, self-gravitating non-Abelian cosmic string solutions without initial gauge field assumptions.

Findings

Existence of regular solutions with specific asymptotic behavior

Singularity formation depends on a key magnetic parameter

Potential stability analysis via multiple-scale method

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.