Origin of the magnetic momentum for regular electrically charged objects described by nonlinear electrodynamics coupled to gravity

Abstract

Dynamical equations of nonlinear electrodynamics minimally coupled to gravity (NED–GR), admit the class of regular solutions, asymptotically Kerr–Newman for a distant observer, which describe regular electrically charged rotating black holes and spinning electromagnetic solitons with the angular momentum [Formula: see text] and the gyromagnetic ratio [Formula: see text]. Their basic generic feature is the existence of the interior de Sitter equatorial disk of the radius [Formula: see text] with the equation-of-state [Formula: see text] in the co-rotating frame, with the properties of a perfect conductor and ideal diamagnetic, and with the superconducting ring current along the edge of the disk, which replaces the ring singularity of the Kerr–Newman geometry and provides the nondissipative source of electromagnetic fields and the origin of an intrinsic magnetic momentum for an electrically charged regular object described by NED–GR. Generic features of the electromagnetic soliton with the parameters of the electron, [Formula: see text], suggest that the intrinsic origin of the electron magnetic momentum can be a superconducting ring current evaluated as [Formula: see text] A.