Dynamics of Electromagnetic Fields and Structure of Regular Rotating Electrically Charged Black Holes and Solitons in Nonlinear Electrodynamics Minimally Coupled to Gravity

Irina Dymnikova,Irina Dymnikova,Irina Dymnikova,Evgeny Galaktionov

doi:10.3390/universe5100205

Abstract

We study the dynamics of electromagnetic fields of regular rotating electrically charged black holes and solitons replacing naked singularities in nonlinear electrodynamics minimally coupled to gravity (NED-GR). They are related by electromagnetic and gravitational interactions and described by the axially symmetric NED-GR solutions asymptotically Kerr-Newman for a distant observer. Geometry is described by the metrics of the Kerr-Schild class specified by T t t = T r r ( p r = − ρ ) in the co-rotating frame. All regular axially symmetric solutions obtained from spherical solutions with the Newman-Janis algorithm belong to this class. The basic generic feature of all regular objects of this class, both electrically charged and electrically neutral, is the existence of two kinds of de Sitter vacuum interiors. We analyze the regular solutions to dynamical equations for electromagnetic fields and show which kind of a regular interior is favored by electromagnetic dynamics for NED-GR objects.

Highlights

The question of existence of astrophysical electrically charged black holes remains open and is actively studied in the literature
In this paper we present the analysis of electromagnetic fields of regular spinning nonlinear electrodynamics minimally coupled to gravity (NED-GR) objects
Regular rotating electrically charged compact objects are described by regular axially symmetric solutions to the source-free Nonlinear electrodynamics (NED)-GR equations which for a distant observer asymptotically coincide with the Kerr-Newman solution

Summary

Introduction

The question of existence of astrophysical electrically charged black holes remains open and is actively studied in the literature. If a related spherical solution violates the dominant energy condition (DEC, which requires ρ ≥ pk for any principal pressure [57]), the function S(r, z) in Equation (12) vanishes only at approaching the disk (7) In this (first) type of interior p⊥ + ρ ≥ 0, WEC is satisfied for a rotating object and its interior is presented by the de Sitter vacuum disk r = 0.

Electromagnetic Fields of Regular Spinning NED-GR Objects

Electromagnetic Dynamics

Summary and Discussion