Non-minimal monopoles of the Dirac type as realization of the censorship conjecture

TL;DR

This paper explores exact solutions in a non-minimally extended Einstein-Maxwell model describing Dirac magnetic monopoles, demonstrating conditions under which singularities are hidden within event horizons, supporting the censorship conjecture.

Contribution

It introduces a class of exact solutions for non-minimal magnetic monopoles and identifies parameter conditions ensuring singularities are concealed by horizons.

Findings

Singularities can be hidden inside event horizons for specific parameter ranges.

Explicit solutions include non-minimal Reissner-Nordström and Drummond-Hathrell models.

Relationships between coupling constants and horizon formation are established.

Abstract

We discuss a class of exact solutions of a three-parameter non-minimally extended Einstein-Maxwell model, which are attributed to non-minimal magnetic monopoles of the Dirac type. We focus on the investigation of the gravitational field of Dirac monopoles for those models, for which the singularity at the central point is hidden inside of an event horizon independently on the mass and charge of the object. We obtained the relationships between the non-minimal coupling constants, for which this requirement is satisfied. As explicit examples, we consider in detail two one-parameter models: first, non-minimally extended Reissner-Nordstr\"om model (for the magnetically charged monopole), second, the Drummond-Hathrell model.