scholarly journals Regular electrically charged objects in Nonlinear Electrodynamics coupled to Gravity

2021 ◽  
Vol 2103 (1) ◽  
pp. 012078
Author(s):  
Irina Dymnikova ◽  
Evgeny Galaktionov
Keyword(s):  
Nonlinear Electrodynamics ◽  
Perfect Conductor ◽  
De Sitter ◽  
Dynamical Equations ◽  
Sitter Group ◽  
Charged Black Holes ◽  
Superconducting Current ◽  
De Sitter Vacuum ◽  
Electrically Charged ◽  
Electromagnetic Solitons

Abstract We present a brief review of the basic properties of regular electrically charged black holes and electromagnetic solitons, predicted by analysis of regular solutions to dynamical equations of Nonlinear Electrodynamics minimally coupled to Gravity (NED-GR). The fundamental generic feature of regular NED-GR objects is the de Sitter vacuum interiors and the relation of their masses to spacetime symmetry breaking from the de Sitter group. Regular spinning NED-GR objects have interior de Sitter vacuum disk with the properties of a perfect conductor and ideal diamagnetic. The disk is confined by the ring with the superconducting current which provides the non-dissipative source of the electromagnetic fields and of the intrinsic magnetic momentum.

scholarly journals Image of the Electron Suggested by Nonlinear Electrodynamics Coupled to Gravity

Particles ◽  
2021 ◽  
Vol 4 (2) ◽  
pp. 129-145
Author(s):  
Irina Dymnikova
Keyword(s):  
Nonlinear Electrodynamics ◽  
Perfect Conductor ◽  
Axially Symmetric ◽  
De Sitter ◽  
Dynamical Equations ◽  
Sitter Group ◽  
Minimal Length Scale ◽  
Basic Features ◽  
De Sitter Vacuum ◽  
Electrically Charged

We present a systematic review of the basic features that were adopted for different electron models and show, in a brief overview, that, for electromagnetic spinning solitons in nonlinear electrodynamics minimally coupled to gravity (NED-GR), all of these features follow directly from NED-GR dynamical equations as model-independent generic features. Regular spherically symmetric solutions of NED-GR equations that describe electrically charged objects have obligatory de Sitter center due to the algebraic structure of stress–energy tensors for electromagnetic fields. By the Gürses-Gürsey formalism, which includes the Newman–Janis algorithm, they are transformed to axially symmetric solutions that describe regular spinning objects asymptotically Kerr–Newman for a distant observer, with the gyromagnetic ratio g=2. Their masses are determined by the electromagnetic density, related to the interior de Sitter vacuum and to the breaking of spacetime symmetry from the de Sitter group. De Sitter center transforms to the de Sitter vacuum disk, which has properties of a perfect conductor and ideal diamagnetic. The ring singularity of the Kerr–Newman geometry is replaced with the superconducting current, which serves as the non-dissipative source for exterior fields and source of the intrinsic magnetic momentum for any electrically charged spinning NED-GR object. Electromagnetic spinning soliton with the electron parameters can shed some light on appearance of a minimal length scale in the annihilation reaction e+e−→γγ(γ).

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

Universe ◽  
2019 ◽  
Vol 5 (10) ◽  
pp. 205 ◽  
Author(s):  
Irina Dymnikova ◽  
Evgeny Galaktionov
Keyword(s):  
Black Holes ◽  
Electromagnetic Fields ◽  
Nonlinear Electrodynamics ◽  
Axially Symmetric ◽  
De Sitter ◽  
Dynamical Equations ◽  
Naked Singularities ◽  
Charged Black Holes ◽  
De Sitter Vacuum ◽  
Electrically Charged

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.

scholarly journals Regular rotating electrically charged structures in nonlinear electrodynamics minimally coupled to gravity

2016 ◽  
Vol 41 ◽  
pp. 1660120 ◽  
Author(s):  
Irina Dymnikova ◽  
Evgeny Galaktionov
Keyword(s):  
Energy Condition ◽  
Weak Energy Condition ◽  
Nonlinear Electrodynamics ◽  
Perfect Conductor ◽  
Spherically Symmetric ◽  
Axially Symmetric ◽  
De Sitter ◽  
Superconducting Current ◽  
De Sitter Vacuum ◽  
Electrically Charged

In nonlinear electrodynamics minimally coupled to gravity, regular spherically symmetric electrically charged solutions satisfy the weak energy condition and have obligatory de Sitter center. By the Gürses-Gürsey algorithm they are transformed to regular axially symmetric solutions asymptotically Kerr-Newman for a distant observer. Rotation transforms de Sitter center into de Sitter equatorial disk embedded as a bridge into a de Sitter vacuum surface. The de Sitter surfaces satisfy [Formula: see text] and have properties of a perfect conductor and ideal diamagnetic. The Kerr ring singularity is replaced with the superconducting current which serves as a non-dissipative electromagnetic source of the asymptotically Kerr-Newman geometry. Violation of the weak energy condition is prevented by the basic requirement of electrodynamics of continued media.

scholarly journals Electromagnetic source for the Kerr–Newman geometry

2015 ◽  
Vol 24 (14) ◽  
pp. 1550094 ◽  
Author(s):  
Irina Dymnikova
Keyword(s):  
Naked Singularity ◽  
Life Time ◽  
Nonlinear Electrodynamics ◽  
Perfect Conductor ◽  
Axially Symmetric ◽  
De Sitter ◽  
Rotating Black Holes ◽  
Superconducting Current ◽  
De Sitter Vacuum ◽  
Electrically Charged

Source-free equations of nonlinear electrodynamics minimally coupled to gravity (NED-GR) admit regular axially symmetric asymptotically Kerr–Newman solutions which describe electrically charged rotating black holes and spinning solitons. Asymptotic analysis of solutions shows the existence of de Sitter vacuum interior which has the properties of a perfect conductor and an ideal diamagnetic. The Kerr ring singularity (a naked singularity in the case without horizons) is replaced with a superconducting current which serves as a nondissipative source of the Kerr–Newman fields and can be responsible for an unlimited life time of a spinning object.

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

2018 ◽  
Vol 27 (16) ◽  
pp. 1950011 ◽  
Author(s):  
Irina Dymnikova
Keyword(s):  
Ring Current ◽  
Nonlinear Electrodynamics ◽  
Perfect Conductor ◽  
De Sitter ◽  
Dynamical Equations ◽  
Superconducting Ring ◽  
Regular Object ◽  
Electromagnetic Soliton ◽  
State Formula ◽  
Electrically Charged

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.

scholarly journals Appearance of a Minimal Length ine+e-Annihilation

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Irina Dymnikova ◽  
Alexander Sakharov ◽  
Jürgen Ulbricht
Keyword(s):  
Energy Condition ◽  
Minimal Length ◽  
Nonlinear Electrodynamics ◽  
Perfect Conductor ◽  
De Sitter ◽  
Electromagnetic Mass ◽  
Time Symmetry ◽  
Electromagnetic Soliton ◽  
De Sitter Vacuum ◽  
Arbitrary Gauge

Experimental data reveal with a 5σsignificance the existence of a characteristic minimal lengthle=1.57×10-17 cm at the scaleE=1.253TeV in the annihilation reactione+e-→γγ(γ). Nonlinear electrodynamics coupled to gravity and satisfying the weak energy condition predicts, for an arbitrary gauge invariant Lagrangian, the existence of spinning charged electromagnetic soliton asymptotically Kerr-Newman for a distant observer with the gyromagnetic ratiog=2. Its internal structure includes a rotating equatorial disk of de Sitter vacuum which has properties of a perfect conductor and ideal diamagnetic, displays superconducting behavior, supplies a particle with the finite positive electromagnetic mass related to breaking of space-time symmetry, and gives some idea about the physical origin of a minimal length in annihilation.

scholarly journals Elementary Superconductivity in Nonlinear Electrodynamics Coupled to Gravity

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Irina Dymnikova
Keyword(s):  
Black Holes ◽  
Nonlinear Electrodynamics ◽  
Perfect Conductor ◽  
Axially Symmetric ◽  
De Sitter ◽  
Electromagnetic Mass ◽  
Time Symmetry ◽  
Minimal Length Scale ◽  
Current Flows ◽  
De Sitter Vacuum

Source-free equations of nonlinear electrodynamics minimally coupled to gravity admit regular axially symmetric asymptotically Kerr-Newman solutions which describe charged rotating black holes and electromagnetic spinning solitons (lumps). Asymptotic analysis of solutions shows, for both black holes and solitons, the existence of de Sitter vacuum interior which has the properties of a perfect conductor and ideal diamagnetic and displays superconducting behaviour which can be responsible for practically unlimited lifetime of the electron. Superconducting current flows on the equatorial ring replacing the Kerr ring singularity of the Kerr-Newman geometry. Interior de Sitter vacuum supplies the electron with the finite positive electromagnetic mass related to the interior de Sitter vacuum of the electroweak scale and to breaking of space-time symmetry, which allows explaining the mass-square differences for neutrino and the appearance of the minimal length scale in the annihilation reaction e+e-→γγ(γ).

scholarly journals Dark Matter Candidates with Dark Energy Interiors Determined by Energy Conditions

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 662 ◽  
Author(s):  
Irina Dymnikova
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Energy Condition ◽  
Phantom Energy ◽  
Weak Energy Condition ◽  
Energy Conditions ◽  
De Sitter ◽  
Dynamical Equations ◽  
De Sitter Vacuum ◽  
Observational Signature

We outline the basic properties of regular black holes, their remnants and self-gravitating solitons G-lumps with the de Sitter and phantom interiors, which can be considered as heavy dark matter (DM) candidates generically related to a dark energy (DE). They are specified by the condition T t t = T r r and described by regular solutions of the Kerr-Shild class. Solutions for spinning objects can be obtained from spherical solutions by the Newman-Janis algorithm. Basic feature of all spinning objects is the existence of the equatorial de Sitter vacuum disk in their deep interiors. Energy conditions distinguish two types of their interiors, preserving or violating the weak energy condition dependently on violation or satisfaction of the energy dominance condition for original spherical solutions. For the 2-nd type the weak energy condition is violated and the interior contains the phantom energy confined by an additional de Sitter vacuum surface. For spinning solitons G-lumps a phantom energy is not screened by horizons and influences their observational signatures, providing a source of information about the scale and properties of a phantom energy. Regular BH remnants and G-lumps can form graviatoms binding electrically charged particles. Their observational signature is the electromagnetic radiation with the frequencies depending on the energy scale of the interior de Sitter vacuum within the range available for observations. A nontrivial observational signature of all DM candidates with de Sitter interiors predicted by analysis of dynamical equations is the induced proton decay in an underground detector like IceCUBE, due to non-conservation of baryon and lepton numbers in their GUT scale false vacuum interiors.

scholarly journals MOTION OF CHARGED PARTICLES ON THE REISSNER–NORDSTRÖM (ANTI)-DE SITTER BLACK HOLE SPACETIME

2011 ◽  
Vol 26 (39) ◽  
pp. 2923-2950 ◽  
Author(s):  
MARCO OLIVARES ◽  
JOEL SAAVEDRA ◽  
CARLOS LEIVA ◽  
JOSÉ R. VILLANUEVA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Charged Particles ◽  
De Sitter ◽  
Point Particles ◽  
Charged Black Holes ◽  
Black Hole Spacetime ◽  
Jacobi Functions ◽  
Electrically Charged ◽  
Charged Point

We study the motion of relativistic, electrically charged point particles in the background of charged black holes with nontrivial asymptotic behavior. We compute the exact trajectories of massive particles and express them in terms of elliptic Jacobi functions. As a result, we obtain a detailed description of particles orbits in the gravitational field of Reissner–Nordström (anti)-de Sitter black hole, depending of their charge, mass and energy.

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