Self--gravitating cosmic rings

TL;DR

This paper extends static Einstein-Maxwell solutions to exact rotating, asymptotically flat solutions describing charged or neutral cosmic strings with properties akin to their Schwarzschild radius.

Contribution

It introduces a method to derive exact rotating solutions from static ones, modeling rotating cosmic strings within Einstein-Maxwell theory.

Findings

Existence of rotating, asymptotically flat cosmic string solutions.

Solutions describe both charged and neutral rotating cosmic strings.

Perimeters of solutions are comparable to Schwarzschild radius.

Abstract

The classical Einstein--Maxwell field equations admit static horizonless wormhole solutions with only a circular cosmic string singularity. We show how to extend these static solutions to exact rotating asymptotically flat solutions. For a suitable range of parameter values, these solutions describe charged or neutral rotating closed cosmic strings, with a perimeter of the order of their Schwarzschild radius.