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

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