Gravitational waves from spinning non-Abelian cosmic strings

We investigated the SU(2) Einstein-Yang-Mills system on a time-dependent non-diagonal cylindrical symmetric spacetime. 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 Yang-Mills field, i.e. the number of times it crosses the r-axis. The appearance of a curvature singularity depends on the ratio of the Planck scale M-pl and the Yang-Mills coupling constant g, i.e. alpha = M-pl/g = 1/g root4 piG and the initial mass per unit length of the cosmic string. The soliton-like behaviour of gravitational and Yang-Mills waves show significant differences from those found in the Abelian Einstein-Maxwell system. For some initial values, the solution possesses both electric and magnetic charge. The stability of the resulting non-Abelian spinning string is analysed using the multiple-scale method. To first order a consistent set of equations is obtained.