From Taub-NUT to Kaluza-Klein magnetic monopole

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.

7 pages, Contribution to the proceedings of the 9th Alexander Friedmann International Seminar on Gravitation and Cosmology and 3rd Satellite Symposium on the Casimir Effect, 22-26 June, 2015, St. Petersburg, Russia, based on a talk. in International Journal of Modern Physics: Conference Series, (2016)