Gravitational waves from spinning non-abelian cosmic strings (Q2710227)

The author investigates the \(SU(2)\) Einstein-Yang-Mills (EYM) system on a time-dependent non-diagonal cylindrical symmetric spacetime. This interesting paper includes some recent results on interaction of cosmic strings and gravitational waves and new results of the author on wave-like solutions, which are consistent with the familiar string-like features. \textit{A. Vilenkin} and \textit{E. P. S. Shellard} [Cosmic strings and other topological defects (Cambridge University Press, Cambridge) (1994; Zbl 0978.83052)] have reviewed string properties and evolution. Cosmic string is a linear topological defect that could be formed at a symmetry breaking phase transition in the early universe. Oscillating loops of strings can generate a potentially observable gravitational wave background. NEWLINENEWLINENEWLINEThe organization of the paper is as follows: 1. Introduction. 2. The field equations of the Einstein-Yang-Mills system. 3. Numerical solution. 4. An approximate wave solution to first order. 5. Conclusions. In section 2 the author derives the field equation on a cylindrically symmetric spacetime. In section 3 the numerical solution is presented. The numerical solutions are illustrated by three interesting figures. In section 4 the author presents an approximate solution using the multiple-scale method and in section 5 he summarizes and analyses his results. The appendix contains the EYM equations in the multiple-scale formulation.