Topological Solution to the Cylindrical Einstein-Maxwell Equations

TL;DR

This paper presents a new exact solution to the cylindrically symmetric Einstein-Maxwell equations, revealing singularities at the axis and infinity, with a source interpreted as a charged domain wall shell.

Contribution

The paper introduces a novel exact solution to the Einstein-Maxwell equations with cylindrical symmetry, expanding understanding of such configurations.

Findings

Solution is singular at axis and infinity

Source at origin interpreted as charged domain wall shell

Advances exact solutions in Einstein-Maxwell theory

Abstract

New exact solution of the cylindrically symmetric Einstein-Maxwell equations is presented. The solution is singular on the axis of symmetry and at the radial infinity, where sources should be placed. The accepted source at the origin can be interpreted as a charged domain wall shell.