Kaluza-Klein Magnetized Cylindrical Wormhole and its Gravitational Lensing

TL;DR

This paper introduces a new five-dimensional vacuum solution describing a magnetized cylindrical wormhole, analyzing particle motion, gravitational lensing effects, magnetic flux, and energy condition violations.

Contribution

It presents an exact vacuum solution in five dimensions for a magnetized cylindrical wormhole and explores its physical properties and observational signatures.

Findings

Neutral test particles experience a repulsive potential.

Gravitational lensing varies with different parameters.

Regions violate the null energy condition.

Abstract

A new exact vacuum solution in five dimensions, which describes a magnetized cylindrical wormhole in $3+1$ dimensions is presented. The magnetic field lines are stretched along the wormhole throat and are concentrated near to it. We study the motion of neutral and charged test particles under the influence of the magnetized wormhole. The effective potential for a neutral test particle around and across the magnetized wormhole has a repulsive character. The gravitational lensing for the magnetized wormhole for various lens parameters are calculated and compared. The total magnetic flux on either side of the wormhole is obtained. We present analytic expressions which show regions in which the null energy condition is violated.