Non-Singular Stationary Global Strings

TL;DR

This paper introduces a non-singular, stationary model for global cosmic strings with angular and linear momentum, using a non-linear sigma model and a Kaluza-Klein inspired approach, extending gravito-electromagnetism beyond weak fields.

Contribution

It presents a novel non-linear sigma model framework for non-singular global cosmic strings with angular and linear momentum, including self-dual solutions and an extended gravito-electromagnetism analysis.

Findings

Constructed non-singular stationary solutions with angular momentum.

Extended gravito-electromagnetism formalism beyond weak field limit.

Discussed self-dual solutions in three dimensions.

Abstract

A field-theoretical model for non-singular global cosmic strings is presented. The model is a non-linear sigma model with a potential term for a self-gravitating complex scalar field. Non-singular stationary solutions with angular momentum and possibly linear momentum are obtained by assuming an oscillatory dependence of the scalar field on t, phi and z. This dependence has an effect similar to gauging the global U(1) symmetry of the model, which is actually a Kaluza-Klein reduction from four to three spacetime dimensions. The method of analysis can be regarded as an extension of the gravito-electromagnetism formalism beyond the weak field limit. Some D=3 self-dual solutions are also discussed.