High-Frequency Gravitational Waves from Spinning Non-Abelian Cosmic-Strings

Abstract

We investigated the SU(2) Einstein-Yang-Mills system on a time-dependent non-diagonal cylindrical symmetric space-time. From the numerical investigation, wave-like solutions are found, consistent with the familiar string-like features. They possess an angle-deficit which depends on the initial form of the magnetic component of the YM field, i.e., the number of times it crosses the r-axis. The soliton-like behavior of the gravitational and YM waves show significant differences from the ones found in the Einstein-Maxwell system. The stability of the system is analyzed using the multiple-scale method. To first order a consistent set of equations is obtained.