Kaluza-Klein and Gauss-Bonnet cosmic strings

TL;DR

This paper explores five-dimensional Einstein and Einstein-Gauss-Bonnet equations to find new cosmic string solutions, including charged and superconducting types, and analyzes particle deflection around these strings.

Contribution

It introduces two new exact five-dimensional cosmic string solutions, one charged and one superconducting, extending to multi-string configurations.

Findings

Test particles are deflected away from the string source.

New exact solutions for charged and superconducting cosmic strings are found.

Solutions are extended to multi-string configurations.

Abstract

We make a systematic investigation of stationary cylindrically symmetric solutions to the five-dimensional Einstein and Einstein-Gauss-Bonnet equations. Apart from the five-dimensional neutral cosmic string metric, we find two new exact solutions which qualify as cosmic strings, one corresponding to an electrically charged cosmic string, the other to an extended superconducting cosmic string surrounding a charged core. In both cases, test particles are deflected away from the singular line source. We extend both kinds of solutions to exact multi-cosmic string solutions.