Brazilian Journal of Physics
Print version ISSN 0103-9733
LIMA, Marcelo Costa de and SOARES, Ivano Damião. The spacetime of a Dirac magnetic monopole. Braz. J. Phys. [online]. 2002, vol.32, n.1, pp. 217-226. ISSN 0103-9733. http://dx.doi.org/10.1590/S0103-97332002000100033.
We construct a spacetime whose only source of curvature is a Dirac magnetic monopole, and whose geometry inherits the structure of lines of singularities of the monopole electromagnetic potentials. The spacetime has the topology S3 × R, is stationary and asymptotically at but not asymptotically Minkowskian, with its at null infinity having the topology of S3. These mild pathologies, as acausality and string structure, allow the spacetime configuration to have a gravitational magnetic mass, which results proportional to the charge m of the monopole. This suggests that the Dirac monopole may be the source of magnetic mass in gravitational configurations, which has no Newtonian analogue. Alsom has the role of a NUT parameter in the metric of the spacetime, suggesting that the charge of the monopole can provide a physical realization of the NUT parameter.