Einsteinsche Feldgleichungen für das axialsymmetrische, stationäre Gravitationsfeld im Innern einer starr rotierenden idealen Flüssigkeit

Advances in High Energy Physics

Sakharov

Ulbricht

2014

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.

Section: Introductionmentioning

confidence: 99%

Appearance of a Minimal Length ine+e-Annihilation

Advances in High Energy Physics

Sakharov

Ulbricht

2014

“…The Kerr-Newman solution belongs to the Kerr family of solutions to the source-free Einstein-Maxwell equations [4]. The source models for the Kerr-Newman exterior fields, involving a screening or covering causally dangerous region and Poincaré stress of different origins, can be roughly divided into disk-like [6][7][8][9], shell-like [5,[10][11][12], bag-like [13][14][15][16][17][18][19][20], and string-like ones ( [21,22] and references therein). The problem of matching the Kerr-Newman exterior to a rotating material source does not have a unique solution, since one is free to choose arbitrarily the boundary between the exterior and the interior [6] as well as an interior model.…”

Section: Advances In Mathematical Physicsmentioning

confidence: 99%

“…The weak energy condition requires ≥ 0 and ⊥ + ≥ 0 [31] which imposes two general constraints on the Lagrangian L( ). Equations 7and (15) lead to…”

Section: Basic Equationsmentioning

confidence: 99%

Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity

Advances in Mathematical Physics

Galaktionov

Tropp

2015

We address the question of correct description of Lagrange dynamics for regular electrically charged structures in nonlinear electrodynamics coupled to gravity. Regular spherically symmetric configuration satisfying the weak energy condition has obligatory de Sitter center in which the electric field vanishes while the energy density of electromagnetic vacuum achieves its maximal value. The Maxwell weak field limitLF→Fasr→∞requires vanishing electric field at infinity. A field invariantFevolves between two minus zero in the center and at infinity which makes a LagrangianLFwith nonequal asymptotic limits inevitably branching. We formulate the appropriate nonuniform variational problem including the proper boundary conditions and present the example of the spherically symmetric Lagrangian describing electrically charged structure with the regular center.

“…The source models involving screening or covering of the causally dangerous region can be classified as disk-like [23,26,27], shell-like [25,28], bag-like [24,[29][30][31][32][33][34] and string-like [35,36]. The problem of matching the Kerr-Newman exterior to a rotating material source does not have a unique solution, since one is free to choose the boundary between the exterior and the interior [23].…”

Section: Introductionmentioning

confidence: 99%

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

Galaktionov

2019

Universe

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.