Boosted Cylindrical Magnetized Kaluza-Klein Wormhole

TL;DR

This paper explores a five-dimensional vacuum solution in Kaluza-Klein theory with cylindrical symmetry, demonstrating how boosting along the extra dimension yields a four-dimensional wormhole supported by scalar, magnetic, and electric fields.

Contribution

It introduces a boosted five-dimensional solution that, upon reduction, results in a novel wormhole configuration with combined electromagnetic fields.

Findings

The four-dimensional solution is a stationary cylindrical wormhole.

Boosting along the extra dimension generates a radial electric field.

The resulting wormhole is supported by scalar and magnetic fields.

Abstract

In this work, we consider a vacuum solution of Kaluza-Klein theory with cylindrical symmetry. We investigate the physical properties of the solution as viewed in four dimensional spacetime, which turns out to be a stationary, cylindrical wormhole supported by a scalar field and a magnetic field oriented along the wormhole.We then apply a boost to the five dimensional solution along the extra dimension, and perform the Kaluza-Klein reduction. As a result, we show that the new solution is still a wormhole with a radial electric field and a magnetic field stretched along the wormhole throat.