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We present a simple and complete classification of static solutions in the Einstein-Maxwell system with a massless scalar field in arbitrary $n(\ge 3)$ dimensions. We consider spacetimes which correspond to a warped product $M^2 \times…

General Relativity and Quantum Cosmology · Physics 2018-08-07 Hideki Maeda , Cristian Martinez

The Duffin-Kemmer form of massless vector field (Maxwell field) is extended to the case of arbitrary pseudo-Riemannian space-time in accordance with the tetrad recipe of Tetrode-Weyl-Fock-Ivanenko. In this approach, the Maxwell equations…

Mathematical Physics · Physics 2009-05-12 A. A. Bogush , E. M. Ovsiyuk , V. M. Red'kov

We classify (1+3)-dimensional Pauli equations for a spin-1/2 particle interacting with the electro-magnetic field, that are solvable by the method of separation of variables. As a result, we obtain the eleven classes of vector-potentials of…

Mathematical Physics · Physics 2015-06-26 Alexander Zhalij

We show that Maxwell's electromagnetism can be mapped into the Born-Infeld theory in a curved space-time, which depends only on the electromagnetic field in a specific way. This map is valid for any value of the two lorentz invariants $F$…

General Relativity and Quantum Cosmology · Physics 2011-11-14 M. Novello , F. T. Falciano , E. Goulart

By using the Bondi-Sachs-van der Burg formalism we analyze the asymptotic properties at null infinity of axisymmetric electrovacuum spacetimes with a translational Killing vector and, in general, an infinite ``cosmic string'' (represented…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , A. Pravdova

We present a new unified covariant description of electromagnetic field properties for an arbitrary space-time. We derive a complete set of irreducible components describing a six-dimensional electromagnetic field from the Maxwell and…

Classical Physics · Physics 2007-05-23 David Sundkvist

Modeling an anisotropic spatially and temporarily dispersive magnetodielectric medium by two independent collections of three dimensional vector fields, we demonstrate a fully canonical quantization of electromagnetic field in the presence…

Quantum Physics · Physics 2010-01-29 Majid Amooshahi

A transparent linear magneto-dielectric material in free space that is illuminated by a finite quasimonochromatic field is a thermodynamically closed system, definitively, regardless of what field and material subsystems that one defines.…

Classical Physics · Physics 2022-02-14 Michael E. Crenshaw

The presence of a non-zero cosmological term in Einstein field equations can be interpreted as the physical possibility for preferred reference frames without breaking of general covariance. This possibility is used in the process of…

General Relativity and Quantum Cosmology · Physics 2009-08-11 Clovis Jacinto de Matos

Maxwell Electrodynamics can be described either in Minkowski space-time or in a dynamically equivalent way in a curved geometry constructed in terms of the electromagnetic field. For this the field must have a superior bound limited by a…

General Relativity and Quantum Cosmology · Physics 2016-11-18 M. Novello , C. E. L. Ducap

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

In recent literature on holographic QCD, the consideration of the five-dimensional Einstein-dilaton-Maxwell models has played a crucial role. Typically, one Maxwell field is associated with the chemical potential, while additional Maxwell…

High Energy Physics - Theory · Physics 2024-09-26 Irina Ya. Aref'eva , Kristina Rannu , Pavel Slepov

We introduce a class of solutions in $2+1-$dimensional Einstein-Power-Maxwell theory for circularly symmetric electric field. The electromagnetic field is considered with an angular component given by $% F_{\mu \nu }=E_{0}\delta_{\mu…

General Relativity and Quantum Cosmology · Physics 2014-01-31 S. Habib Mazharimousavi , M. Halilsoy , Ozay Gurtug

We introduce the electromagnetic-gravitational coupling in the Ho\v{r}ava-Lifshitz framework, in $3+1$ dimensions, by considering the Ho\v{r}ava-Lifshitz gravity theory in $4+1$ dimensions at the kinetic conformal point and then performing…

High Energy Physics - Theory · Physics 2020-02-26 Alvaro Restuccia , Francisco Tello-Ortiz

We consider a model with two real Maxwell fields (or equivalently, a complex Maxwell field) minimally coupled to Einsteins gravity with a negative cosmological constant in four spacetime dimensions. Assuming a specific harmonic dependence…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Carlos Herdeiro , Hyat Huang , Jutta Kunz , Eugen Radu

We consider the non-interacting source-free Maxwell field, described both in terms of the vector potential and the field strength. Starting from the classical field theory on contractible globally hyperbolic spacetimes, we extend the…

Mathematical Physics · Physics 2016-08-29 Christopher J. Fewster , Benjamin Lang

A pointlike electric charge at rest is considered in the spacetime which is a wormhole connecting two otherwise Minkowskian spaces. The potential (i. e. a solution of the Maxwell equations) is split into two parts: one of them depends only…

General Relativity and Quantum Cosmology · Physics 2009-01-08 S. Krasnikov

We consider Maxwell fields associated with any shear-free null geodesic congruence on Minkowski or Riemannian background space-time. Bounded singular loci of these fields are treated as particle-like formations, possess "self-quantized"…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Vladimir V. Kassandrov , Vladimir N. Trishin

We show that the linearized equations of the incompressible elastic medium admit a `Maxwell form' in which the shear component of the stress vector plays the role of the electric field, and the vorticity plays the role of the magnetic…

Mathematical Physics · Physics 2012-02-22 Christo I. Christov

We generalize our previous theorem for FLRW spacetimes within the framework of generic metric gravity theories. In earlier work, we proved that, in the absence of matter fields, the field equations of any metric gravity theory constructed…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Metin Gürses , Yaghoub Heydarzade