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We show that the Maxwell equations describing an electromagnetic wave are a mathematical consequence of the Einstein equations for the same wave. This fact is significant for the problem of the Einsteinian metrics corresponding to the…

综合物理 · 物理学 2011-06-14 A. Loinger , T. Marsico

We discuss the theory of electromagnetic fields, with an emphasis on aspects relevant to radiofrequency systems in particle accelerators. We begin by reviewing Maxwell's equations and their physical significance. We show that in free space,…

加速器物理 · 物理学 2015-03-19 Andrzej Wolski

The analogy between electromagnetism and gravitation was achieved by linearizing the tensorial gravitational equations of general relativity and converting them into a vector form corresponding to Maxwell's electromagnetic equations. On…

地球物理 · 物理学 2024-06-04 Jose' M. Carcione , Jing Ba

Applying a simple harmonic map method to the cylindrically symmetric Einstein-Maxwell system, we obtain exact solutions representing strong nonlinear interaction between gravitational waves and electromagnetic waves in the case without any…

广义相对论与量子宇宙学 · 物理学 2023-05-31 Takashi Mishima , Shinya Tomizawa

Non-minimally coupled Y(R)-Maxwell gravity which have some interesting solutions may be used to understand dark matter, dark energy, the origin of cosmic magnetic field and the evaluation of the universe. We give some new solutions to the…

广义相对论与量子宇宙学 · 物理学 2013-04-09 Özcan Sert

In general, Maxwell's equations require that a wave of electric field be accompanied by a wave of magnetic field, and vice versa. However, it is possible to have a plane wave in a dielectric medium with electric field E parallel to the wave…

等离子体物理 · 物理学 2007-05-23 Kirk T. McDonald

We give the Lagrangian formulation of a generic non-minimally extended Einstein-Maxwell theory with an action that is linear in the curvature and quadratic in the electromagnetic field. We derive the coupled field equations by a first order…

广义相对论与量子宇宙学 · 物理学 2011-03-21 T. Dereli , O. Sert

The interaction between gravitational and electromagnetic radiation has a rather long research history. It is well known, in particular, that gravity-wave distortions can drive propagating electromagnetic signals. Since forced oscillations…

广义相对论与量子宇宙学 · 物理学 2011-09-13 Christos G. Tsagas

Electromagnetic potentials allow for an alternative description of the Maxwell field, the electric and magnetic components of which emerge as gradients of the vector and the scalar potential. We provide a general relativistic analysis of…

广义相对论与量子宇宙学 · 物理学 2022-04-01 Panagiotis Mavrogiannis , Christos G. Tsagas

In this paper a new look on the electro-magnetic duality is presented and appropriately exploited. The duality analysis in the nonrelativistic and relativistic formulations is shown to lead to the idea the mathematical model field to be a…

高能物理 - 理论 · 物理学 2007-05-23 Stoil Donev

Modern physics is largely devoted to study conservation laws, such as charge, energy, linear momentum or angular momentum, because they give us information about the symmetries of our universe. Here, we propose to add the relationship…

Chapters : 1. Introduction to electric-magnetic duality 2. Classical duality in bosonic brane electrodynamics 3. Massless spin two gauge theory 4. Duality-symmetric actions and chiral forms 5. BRST quantization of duality-symmetric…

高能物理 - 理论 · 物理学 2007-05-23 Xavier Bekaert

Plane electromagnetic and gravitational waves interact with particles in such a way as to cause them to oscillate not only in the transverse direction but also along the direction of propagation. The electromagnetic case is usually shown by…

综合物理 · 物理学 2015-05-27 Gerald E. Marsh

The vacuum Einstein equations admit a formulation closely analogous to the source-free Maxwell theory. In particular, the linearized equations exhibit an electric-magnetic duality symmetry. We develop a framework that makes this analogy…

广义相对论与量子宇宙学 · 物理学 2025-11-05 Adrian del Rio , Javier Olmedo , António Torres Manso

A certain class of exact solutions of Einstein Maxwell spacetime in general relativity is discussed which demonstrates at the level of theory that, when certain parametric resonance condition is met, the interaction of electromagnetic field…

广义相对论与量子宇宙学 · 物理学 2023-10-24 Ruodi Yan , Yun Kau Lau

We consider the interaction between gravitational and electromagnetic radiation propagating on a Minkowski background and look into the effects of the former upon the latter. Not surprisingly, the coupling between these two sources leads to…

广义相对论与量子宇宙学 · 物理学 2015-06-16 Alexandros P. Kouretsis , Christos G. Tsagas

Electromagnetic duality is a symmetry of the source-free Einstein-Maxwell equations that rotates electric and magnetic fields while leaving the stress-energy tensor invariant. We present the first fully nonlinear realization of this…

广义相对论与量子宇宙学 · 物理学 2026-05-21 José Ferreira , Gabriele Bozzola , Carlos A. R. Herdeiro , Vasileios Paschalidis , Miguel Zilhão

By resolving the Riemann curvature relative to a unit timelike vector into electric and magnetic parts, we consider duality relations analogous to the electromagnetic theory. It turns out that the duality symmetry of the Einstein action…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Naresh Dadhich

It is shown in linear approximation that in the case of one-dimensional problem of transverse electron waves in a half-infinite slab of homogeneous Maxwellian collisionless plasma with the given boundary field frequency two wave branches of…

等离子体物理 · 物理学 2007-11-20 V. N. Soshnikov

In the reduced phase space of electromagnetism, the generator of duality rotations in the usual Poisson bracket is shown to generate Maxwell's equations in a second, much simpler Poisson bracket. This gives rise to a hierarchy of…

高能物理 - 理论 · 物理学 2009-05-12 Glenn Barnich , Cedric Troessaert