From Taub-NUT to Kaluza-Klein magnetic monopole

TL;DR

This paper introduces a five-dimensional Kaluza-Klein vacuum solution resembling the Taub-NUT magnetic monopole, analyzing its properties as a static magnetic monopole in four dimensions and discussing its physical implications.

Contribution

It presents a new Kaluza-Klein vacuum solution that models a magnetic monopole and explores its physical characteristics and differences from other monopole solutions.

Findings

The solution is a static magnetic monopole in four dimensions.

The matter does not obey radiation equation of state.

No event horizon is present in the solution.

Abstract

We present a Kaluza-Klien vacuum solution which closely resembles the Taub-NUT magnetic monopole and we investigate its physical properties as viewed from four space-time dimensions. We show that the Taub-NUT Kaluza-Klein vacuum solution in five dimensions is a static magnetic monopole. We find that the four dimensional matter properties do not obey the equation of state of radiation and there is no event horizon. A comparison with the available magnetic monopole solutions and the issue of vanishing and negative mass are discussed.