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The classical electromagnetic and gravitomagnetic fields in the vacuum, in (3+2) dimensions, described by the Maxwell-Nordstrom equations, are quantized. These equations are rederived from the field tensor which follows from a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Kocinski

The problem of unification of electro-magnetism and gravitation in four dimensions; some new ideas involving torsion. A metric consisting of a combination of symmetric and anti-symmetric parts is postulated and, in the framework of general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. R. Filewood

A manifestly gauge invariant formulation of the coupling of the Maxwell theory with an Einstein Cartan geometry is given, where the space time torsion originates from a massless Kalb-Ramond field augmented by suitable U(1) Chern Simons…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Parthasarathi Majumdar , Soumitra SenGupta

We develop a geometric extension of the Kerr-Schild ansatz that incorporates both electric and magnetic sectors of the Maxwell field in a unified framework, without resorting to duality rotations. We start observing that the known purely…

High Energy Physics - Theory · Physics 2025-11-11 Eloy Ayón-Beato , Daniel Flores-Alfonso , Mokhtar Hassaine , Daniel F. Higuita-Borja

Electromagnetic waves arise in many area of physics. Solutions are difficult to find in the general case. In this paper, we numerically integrate Maxwell equations in a 3D spherical polar coordinate system. Straightforward finite difference…

High Energy Astrophysical Phenomena · Physics 2016-10-26 J. Petri

Maxwell's vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators ( integrals of motion )…

General Relativity and Quantum Cosmology · Physics 2022-04-27 V. V. Obukhov

Due to the nonlinearity of QED, a static charge becomes a magnetic dipole if placed in a magnetic field. Already without external field, the cubic Maxwell equation for the field of a point charge has a soliton solution with a finite field…

High Energy Physics - Theory · Physics 2015-09-02 T. C. Adorno , Caio Costa , D. M. Gitman , A. E. Shabad

It has been found, that free electromagnetic (EM) field in restricted volume (typical experimental case) consists of two independent and equally possible components with different parity under spatial inversion transformations. Either of…

Quantum Physics · Physics 2009-11-09 A. Dovlatova , D. Yearchuck , Y. Yerchak , A. Alexandrov

We investigate the electromagnetic fields produced by the oscillating point electric or magnetic dipole placed in a spherical volume with nonzero time-independent effective axion field. Our analytical solution shows that the fields outside…

Optics · Physics 2023-05-12 Timur Seidov , Maxim Gorlach

The electric field applied perpendicularly to smectic layers breaks the rotational symmetry of the system. Consequently, the elastic energy associated with distortions induced by an edge dislocation diverges logarithmically with the size of…

Condensed Matter · Physics 2009-10-28 R. Holyst , P. Oswald

Under a particular choice of the Ernst potential, we solve analytically the Einstein-Maxwell equations to derive a new exact solution depending on five parameters: the mass, the angular-momentum (per unit mass), the electromagnetic-field…

General Relativity and Quantum Cosmology · Physics 2014-11-18 K. Kleidis , A. Kuiroukidis , P. Nerantzi , D. B. Papadopoulos

We study 2D Maxwell-dilaton gravity with higher order corrections given by the Chern-Simons term. The model admits three distinctive $AdS_2$ vacuum solutions. By making use of the entropy function formalism we find the entropy of the…

High Energy Physics - Theory · Physics 2010-04-21 Mohsen Alishahiha , Reza Fareghbal , Amir E. Mosaffa

Relativistic, spherically symmetric configurations consisting of a gravitating magnetized anisotropic fluid are studied. For such configurations, we obtain static equilibrium solutions with an axisymmetric, poloidal magnetic field produced…

General Relativity and Quantum Cosmology · Physics 2015-03-03 Vladimir Folomeev , Vladimir Dzhunushaliev

We analyse the asymptotic symmetries of Maxwell theory at spatial infinity through the Hamiltonian formalism. Precise, consistent boundary conditions are explicitly given and shown to be invariant under asymptotic angle-dependent…

High Energy Physics - Theory · Physics 2018-05-30 Marc Henneaux , Cédric Troessaert

Charged axially symmetric solution of the coupled gravitational and electromagnetic fields in the tetrad theory of gravitation is derived. The metric associated with this solution is an axially symmetric metric which is characterized by…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Gamal G. L. Nashed

We consider field localizing and concentration of electromagnetic waves governed by the time-harmonic anisotropic Maxwell system in a bounded domain. It is shown that there always exist certain boundary inputs which can generate…

Analysis of PDEs · Mathematics 2018-11-19 Bastian Harrach , Yi-Hsuan Lin , Hongyu Liu

In the present work, we extend and generalize our previous work regarding the scale dependence applied to black holes in the presence of non-linear electrodynamics [1]. The starting point for this study is the Einstein-power-Maxwell theory…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Angel Rincon , Ernesto Contreras , Pedro Bargueño , Benjamin Koch , Grigoris Panotopoulos

We investigate circularly symmetric static solutions in three-dimensional gravity with a minimally coupled massive scalar field. We integrate numerically the field equations assuming asymptotic flatness, where black holes do not exist and a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. de Berredo-Peixoto

For explicitly time depending mass density, which satisfies a continuity equation, it is shown that Maxwell-like equations for gravitational field follow naturally without any need of General Relativity Theory approximation or related…

General Physics · Physics 2017-11-23 Gustavo V. Lopez

This paper investigates the five-dimensional(5D) spherically symmetric gravitational collapse with positive cosmological constant in the presence of an electromagnetic field. The junction conditions between the 5D non-static interior and…

General Relativity and Quantum Cosmology · Physics 2015-05-18 M. Sharif , G. Abbas