Self-Gravitating Non-Abelian Cosmic String Solution

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.

12 pages in REVTEX with 7 figures in postscript. To appear in PRD nov.'98

References in corpus (2)

• Static Axially Symmetric Solutions of Einstein-Yang-Mills-Dilaton Theory
• Electrically Charged Sphalerons

Cited by in corpus (3)

• Scattering cross-section in gravitating cosmic string spacetimes
• High-Frequency Gravitational Waves from Spinning Non-Abelian Cosmic-Strings
• Cylindrically symmetric solitons in Einstein-Yang-Mills theory