Spinning superconducting electrovacuum soliton

TL;DR

This paper introduces a model of a spinning, superconducting electrovacuum soliton with a de Sitter core, derived from nonlinear electrodynamics coupled to gravity, exhibiting properties akin to particles and black holes.

Contribution

It presents a novel solution describing a regular, spinning electrovacuum soliton with a superconducting de Sitter core, extending previous models to include rotation and superconductivity.

Findings

De Sitter core with vanishing electric field and maximal energy density.

Interior de Sitter disk exhibits superconducting and diamagnetic properties.

Solution applies to both black holes and particle-like structures.

Abstract

In nonlinear electrodynamics coupled to general relativity and satisfying the weak energy condition, a spherically symmetric electrically charged electrovacuum soliton has obligatory de Sitter center in which the electric field vanishes while the energy density of electromagnetic vacuum achieves its maximal value. De Sitter vacuum supplies a particle with the finite positive electromagnetic mass related to breaking of space-time symmetry from the de Sitter group in the origin. By the G\"urses-G\"ursey algorithm based on the Newman-Trautman technique it is transformed into a spinning electrovacuum soliton asymptotically Kerr-Newman for a distant observer. De Sitter center becomes de Sitter equatorial disk which has both perfect conductor and ideal diamagnetic properties. The interior de Sitter vacuum disk displays superconducting behavior within a single spinning soliton. This behavior found for an arbitrary nonlinear lagrangian ${\cal L}(F)$, is generic for the class of regular spinning electrovacuum solutions describing both black holes and particle-like structures.