Gravitating non-Abelian cosmic strings

TL;DR

This paper investigates regular non-Abelian cosmic string solutions within Einstein gravity, analyzing their properties through numerical solutions of coupled differential equations, focusing on energy density and spacetime geometry effects.

Contribution

It introduces a numerical analysis of non-Abelian cosmic strings with coupled bosonic sectors and gravity, highlighting the impact of sector interactions on spacetime and matter fields.

Findings

Solutions asymptote to flat spacetime with angle deficit

Coupling between bosonic sectors influences matter and geometry

Energy density varies with symmetry breaking scale and sector coupling

Abstract

In this paper we study regular cosmic string solutions of the non-Abelian Higgs model coupled with the Einstein gravity. In order to do that, we constructed a set of coupled differential ordinary equation. Because there is no closed solution for this set of equations, we solve it numerically. The solutions that we are interested in asymptote to a flat space-time with a planar angle deficit. This model under consideration present two bosonic sectors, besides the non-Abelian gauge one, coupled minimally with the gravitational fields. The two bosonic sectors may present a direct coupling, which plays an important role on the behavior of the matter and gauge fields and also on the behavior on the geometry of the spacetime. We explicitly analyze the behaviors of the energy density and planar angle deficit as function of the energy scale where the gauge symmetry is spontaneously broken and the coupling interaction between the bosonic sectors.