Regular rotating electrically charged black holes and solitons in nonlinear electrodynamics minimally coupled to gravity

TL;DR

This paper explores regular, rotating, electrically charged black holes and solitons in nonlinear electrodynamics coupled to gravity, revealing their horizon structures, de Sitter surfaces, and superconducting properties that replace singularities.

Contribution

It provides a comprehensive analysis of regular rotating solutions in nonlinear electrodynamics, including horizon and ergoregion structures, and introduces superconducting currents replacing singularities.

Findings

De Sitter vacuum surfaces act as perfect conductors and diamagnets.

Rotation transforms de Sitter centers into vacuum surfaces with a disk structure.

Superconducting currents replace Kerr ring singularities.

Abstract

In nonlinear electrodynamics coupled to gravity, regular spherically symmetric electrically charged solutions satisfy the weak energy condition and have obligatory de Sitter centre. By the G\"urses-G\"ursey algorithm they are transformed to spinning electrically charged solutions asymptotically Kerr-Newman for a distant observer. Rotation transforms de Sitter center into de Sitter vacuum surface which contains equatorial disk $r=0$ as a bridge. We present general analysis of the horizons, ergoregions and de Sitter surfaces, as well as the conditions of the existence of regular solutions to the field equations. We find asymptotic solutions and show that de Sitter vacuum surfaces have properties of a perfect conductor and ideal diamagnetic, violation of the weak energy condition is prevented by the basic requirement of electrodynamics of continued media, and the Kerr ring singularity is replaced with the superconducting current.