Self-gravitating non-abelian cosmic string solution

The coupled Einstein-Yang-Mills equations on a time-dependent axially symmetric spacetime are investigated, without imposing 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 a 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. [S0556-2821(98)04522-6].