Non-Abelian cosmic strings in de Sitter and anti-de Sitter space

TL;DR

This paper explores the properties of non-Abelian cosmic strings in de Sitter and anti-de Sitter spacetimes, analyzing their field configurations and spacetime horizons through numerical methods.

Contribution

It constructs the equations of motion for non-Abelian cosmic strings with a cosmological constant and analyzes their behavior in different spacetime backgrounds.

Findings

De Sitter case exhibits horizons depending on gravitational coupling.

Anti-de Sitter case shows no horizons, with metric components increasing at large distances.

The behavior of metric components varies significantly between the two spacetimes.

Abstract

In this paper we investigate the non-Abelian cosmic string in de Sitter and anti-de Sitter spacetimes. In order to do that we construct the complete set of equations of motion considering the presence of a cosmological constant. By using numerical analysis we provide the behavior of the Higgs and gauge fields and also for the metric tensor for specific values of the physical parameters of the theory. For de Sitter case, we find the appearance of horizons that although being consequence of the presence of the cosmological constant it strongly depends on the value of the gravitational coupling. In the anti-de Sitter case, we find that the system does not present horizons. In fact the new feature of this system is related with the behavior of the $(00)$ and $(zz)$ components of the metric tensor. They present a strongly increasing for large distance from the string.