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 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 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 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.

scholarly journals Identification of a Regular Black Hole by Its Shadow

Universe ◽  
2019 ◽  
Vol 5 (7) ◽  
pp. 163 ◽  
Author(s):  
Irina Dymnikova ◽  
Kirill Kraav
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Kerr Black Hole ◽  
Axially Symmetric ◽  
De Sitter ◽  
Regular Solutions ◽  
Regular Black Hole ◽  
Rotating Black Holes ◽  
The Difference ◽  
De Sitter Vacuum

We study shadows of regular rotating black holes described by the axially symmetric solutions asymptotically Kerr for a distant observer, obtained from regular spherical solutions of the Kerr–Schild class specified by T t t = T r r ( p r = − ε ) . All regular solutions obtained with the Newman–Janis algorithm belong to this class. Their basic generic feature is the de Sitter vacuum interior. Information about the interior content of a regular rotating de Sitter-Kerr black hole can be in principle extracted from observation of its shadow. We present the general formulae for description of shadows for this class of regular black holes, and numerical analysis for two particular regular black hole solutions. We show that the shadow of a de Sitter-Kerr black hole is typically smaller than that for the Kerr black hole, and the difference depends essentially on the interior density and on the pace of its decreasing.

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 Non-Singular Model of Magnetized Black Hole Based on Nonlinear Electrodynamics

Universe ◽  
2019 ◽  
Vol 5 (12) ◽  
pp. 225 ◽  
Author(s):  
Sergey I. Kruglov
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Black Hole ◽  
Hawking Temperature ◽  
Nonlinear Electrodynamics ◽  
De Sitter ◽  
Fundamental Length ◽  
Gravity Effects ◽  
Black Hole Spacetime ◽  
Thermodynamics Of Black Holes

A new modified Hayward metric of magnetically charged non-singular black hole spacetime in the framework of nonlinear electrodynamics is constructed. When the fundamental length introduced, characterising quantum gravity effects, vanishes, one comes to the general relativity coupled with the Bronnikov model of nonlinear electrodynamics. The metric can have one (an extreme) horizon, two horizons of black holes, or no horizons corresponding to the particle-like solution. Corrections to the Reissner–Nordström solution are found as the radius approaches infinity. As r → 0 the metric has a de Sitter core showing the absence of singularities, the asymptotic of the Ricci and Kretschmann scalars are obtained and they are finite everywhere. The thermodynamics of black holes, by calculating the Hawking temperature and the heat capacity, is studied. It is demonstrated that phase transitions take place when the Hawking temperature possesses the maximum. Black holes are thermodynamically stable at some range of parameters.

scholarly journals REGULAR BLACK HOLES IN AN ASYMPTOTICALLY DE SITTER UNIVERSE

2008 ◽  
Vol 23 (40) ◽  
pp. 3377-3392 ◽  
Author(s):  
JERZY MATYJASEK ◽  
DARIUSZ TRYNIECKI ◽  
MARIUSZ KLIMEK
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Nonlinear Electrodynamics ◽  
Spherically Symmetric ◽  
De Sitter ◽  
Coupled Equations ◽  
Sitter Universe ◽  
De Sitter Universe ◽  
Horizon Geometry ◽  
Interesting Solution

A regular solution of the system of coupled equations of the nonlinear electrodynamics and gravity describing static and spherically-symmetric black holes in an asymptotically de Sitter universe is constructed and analyzed. Special emphasis is put on the degenerate configurations (when at least two horizons coincide) and their near horizon geometry. It is explicitly demonstrated that approximating the metric potentials in the region between the horizons by simple functions and making use of a limiting procedure one obtains the solutions constructed from maximally symmetric subspaces with different absolute values of radii. Topologically they are AdS2×S2 for the cold black hole, dS2×S2 when the event and cosmological horizon coincide, and the Plebański–Hacyan solution for the ultraextremal black hole. A physically interesting solution describing the lukewarm black holes is briefly analyzed.

scholarly journals Mass, Spacetime Symmetry, de Sitter Vacuum, and the Higgs Mechanism

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 634 ◽  
Author(s):  
Irina Dymnikova
Keyword(s):  
Higgs Mechanism ◽  
Minimal Length ◽  
Length Scale ◽  
False Vacuum ◽  
De Sitter ◽  
Negative Mass ◽  
Spacetime Symmetry ◽  
Generic Relation ◽  
Minimal Length Scale ◽  
De Sitter Vacuum

We address the question of the intrinsic relation between mass, gravity, spacetime symmetry, and the Higgs mechanism implied by involvement of the de Sitter vacuum as its basic ingredient (a false vacuum). Incorporating the de Sitter vacuum, the Higgs mechanism implicitly incorporates the generic relation between mass, gravity, and spacetime symmetry revealed in the frame of General Relativity for all objects involving the de Sitter vacuum. We overview two observational cases which display and verify this relation, the case known as “negative mass square problem” for neutrino, and appearance of a minimal length scale in e + e − annihilation.

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