Exact metric around a wiggly cosmic string

TL;DR

This paper derives the exact spacetime metric around a wiggly cosmic string by incorporating an electric current into the string's energy-momentum tensor, extending previous models of cosmic strings.

Contribution

It introduces a new exact solution for the metric around a wiggly cosmic string with electric current, advancing the understanding of cosmic string geometries.

Findings

Derived the exact metric for a wiggly cosmic string with current

Extended the cosmic string model to include electric current effects

Provided a mathematical framework for analyzing current-carrying cosmic strings

Abstract

The exact metric around a wiggly cosmic string is found by modifying the energy momentum-tensor of a straight infinitely thin cosmic string to include an electric current along the symmetry axis.