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

TL;DR

This paper explores gravitational waves generated by spinning non-Abelian cosmic strings within the SU(2) Einstein-Yang-Mills framework, revealing unique wave features and stability properties through numerical and analytical methods.

Contribution

It introduces numerical solutions for wave-like phenomena in the Einstein-Yang-Mills system and analyzes their stability, highlighting differences from Einstein-Maxwell solutions.

Findings

Wave-like solutions with string-like features found numerically

Angle-deficit depends on initial magnetic field configuration

Distinct soliton-like behavior compared to Einstein-Maxwell system

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.