[en] A metric satisfying Einstein-Maxwell equations is given which in the vicinity of the source reduces to the charged NUT metric (i.e. Brill metric) and which in the absence of the source reduces to the metric of the Einstein's static inverse. (author)

[en] The Einstein-Cartan-Maxwell equations are studied for Bianchi types 1, 7₀, 8 and 9 cosmological models. A non-singular solution of Bianchi type 1 is given. It is shown that electromagnetic solutions of Bianchi types 8 and 9 exist. (author)

[en] The Chevreton superenergy tensor was introduced in 1964 as a counterpart, for electromagnetic fields, of the well-known Bel-Robinson tensor of the gravitational field. We here prove the unnoticed facts that, in the absence of electromagnetic currents, Chevreton's tensor (i) is completely symmetric, and (ii) has a trace-free divergence if the Einstein-Maxwell equations hold. It follows that the trace of the Chevreton tensor is a rank-2, symmetric, trace-free, conserved tensor, which is different from the energy-momentum tensor, and nonetheless can be constructed for any test Maxwell field or any Einstein-Maxwell spacetime

[en] Emission of electromagnetic radiation by an electric charge in linear accelerated motion is studied from a relativistic point of view. Both the space-extended radiation derived from Maxwell's theory, and the quantized model described by Einstein, are considered. A thorough scrutiny of the conditions for such an emission, gives results at variance with classical electrodynamics, and leads to a new description of the radiation process

[en] In this work, the photon equation (massless Duffin-Kemmer-Petiau equation) is written explicitly for the general type of stationary Goedel spacetimes and is solved exactly for the Goedel-type and the Goedel spacetimes. The harmonic oscillator behaviour of the solutions is discussed and the energy spectrum of the photon is obtained. Finally, the solution of Maxwell equations is found to show equivalence with the photon equation

[en] I show, in canonical formulation of flat space Maxwell theory, that its duality rotation invariance must have a constant parameter, cannot be promoted to a local one by adding a compensating field and that these conclusions hold in the curved space Maxwell-Einstein extension.

[en] A new approximation obtained in terms of the Maxwell approach is proposed for the effective conductivity of a macroscopically disordered medium. In contrast to the standard Maxwell approximation, this approximation is valid over a much wider concentration range and can qualitatively describe the presence of the percolation threshold. The relation of the proposed approximation to the Pade approximant of the standard Maxwell approximation is also discussed. (methodological notes)

[en] Magnetostatic Maxwell equations and the Landau–Lifshitz–Gilbert (LLG) equation are combined to a multiscale method, which allows to extend the problem size of traditional micromagnetic simulations. By means of magnetostatic Maxwell equations macroscopic regions can be handled in an averaged and stationary sense, whereas the LLG allows to accurately describe domain formation as well as magnetization dynamics in some microscopic subregions. The two regions are coupled by means of their strayfield and the combined system is solved by an optimized time integration scheme. - Highlights: • Coupling LLG and magnetostatic Maxwell equations. • Optimized time-integration. • Simulation of transfer curve of GMR read head with macroscopic shields

[en] This paper briefly discusses the salient features of quasi-steady electrodynamics; it considers certain general properties of Maxwell's equations and their solutions with respect to pulsars. (Auth.)

[en] It is shown that in a type-D space-time that admits a two-index Killing spinor a differential operator can be constructed that maps a solution of the Maxwell equations into another solution. By considering as a background the Plebanski--Demianski metric, which includes all the vacuum type-D metrics, this operator is used to obtain all the components of the electromagnetic field and the vector potential. The separated functions appearing in the solutions are shown to obey identities of the Teukolsky--Starobinsky type and the separable solutions are shown to be eigensolutions of a certain differential operator with the ''Starobinsky constant'' as the eigenvalue