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In this paper we present eight-component values "octons", generating associative noncommutative algebra. It is shown that the electromagnetic field in a vacuum can be described by a generalized octonic equation, which leads both to the wave…

Mathematical Physics · Physics 2014-06-27 Victor L. Mironov , Sergey V. Mironov

In a gravitational field, we analyze the Maxwell equations, the correponding electromagnetic wave and continuity equations. A particular solution for parellel electric and magnetic fields in a gravitational background is presented. These…

High Energy Physics - Theory · Physics 2007-05-23 Sortelano Araujo Diniz , Carlos Pinheiro , F. C. Khanna

A bivertical classical field theory include the Newtonian mechanics and Maxwell's electromagnetic field theory as the special cases. This unification allows to recognize the formal analogies among the notions of Newtonian mechanics and…

High Energy Physics - Theory · Physics 2009-10-22 Z. Oziewicz

The supersymmetric quantum mechanics of a two-dimensional non-relativistic particle subject to external magnetic and electric fields is studied in a superfield formulation and with the typical non-minimal coupling of (2+1) dimensions. Both…

High Energy Physics - Theory · Physics 2009-11-10 Ricardo C. Paschoal , José A. Helayël-Neto , Leonardo P. G. de Assis

It is shown that the pre-metric approach to Maxwell's equations provides an alternative to the traditional Einstein-Maxwell unification program, namely, that electromagnetism and gravitation are unified in a different way that makes the…

General Relativity and Quantum Cosmology · Physics 2015-12-23 David Delphenich

We show that there exists a choice of gauge in which the electromagnetic 4-potential may be written as the difference of two 4-velocity vector fields describing the motion of a two-component space-filling relativistic fluid. Maxwell's…

Classical Physics · Physics 2010-12-13 Sabbir Rahman

It is shown how to break the symmetry of a Lagrangian with duality symmetry between electric and magnetic monopoles, so that at low energy, electric monopole interactions continue to be observed but magnetic monopole interactions become…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jay R. Yablon

We study non-linear electrodynamics in curved space from the viewpoint of dualities. After establishing the existence of a topological bound for self-dual configurations of Born-Infeld field in curved space, we check that the…

High Energy Physics - Theory · Physics 2009-10-31 Gary W. Gibbons , Koji Hashimoto

We generalize duality invariance for the free Maxwell action in an arbitrary background geometry to include the presence of electric and magnetic charges. In particular, it follows that the actions of equally charged electric and magnetic…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , M. Henneaux , C. Teitelboim

We present a covariant framework for the quantization of the electromagnetic field in the presence of magnetic monopoles. Building on the two-potential formalism of Cabibbo and Ferrari, which treats electric and magnetic sources on equal…

High Energy Physics - Theory · Physics 2025-09-29 Kanan Anwar

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…

General Relativity and Quantum Cosmology · Physics 2013-04-09 Özcan Sert

We prove two theorems which imply that any stationary nonlinear electromagnetic field obeying a dominant energy condition in a strictly stationary, everywhere regular, asymptotically flat spacetime must be either trivial or a stealth field.…

General Relativity and Quantum Cosmology · Physics 2022-01-27 Ana Bokulić , Tajron Jurić , Ivica Smolić

We examine Podolsky's electrodynamics, which is noninvariant under the usual duality transformation. We deduce a generalization of Hodge's star duality, which leads to a dual gauge field and restores to a certain extent the dual symmetry.…

High Energy Physics - Theory · Physics 2016-10-11 F. T. Brandt , J. Frenkel , D. G. C. McKeon

If gravitation and electromagnetism are both described in terms of a symmetric metric tensor, then the deflection of an electron beam by a charged sphere should be different from its deflection according to the Reissner-Nordstr\"om solution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Murat Özer

Recently by us was proposed the model where Einstein's equation on the brane was connected with Maxwell's multi-dimensional equations in pseudo-Euclidean space. Based on this idea unification of 4-dimensional gravity and electromagnetism in…

High Energy Physics - Theory · Physics 2007-05-23 Merab Gogberashvili

Uniqueness of the four-dimensional static, asymptotically flat, Einstein-Maxwell spacetime with both electric and magnetic charges, containing non-extremal massive particle sphere, being an inner boundary in it, has been proved. It is…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Marek Rogatko

The existence of an electromagnetic field with parallel electric and magnetic field components in the presence of a gravitational field is considered. A non-parallel solution is shown to exist. Next, we analyse the possibility of finding…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Pinheiro , J. A. Helayel-Neto , Gilmar S. Dias , F. C. Khanna

The possibility that QED and recently developed non-Hermitian, or magnetic, versions of QED are equivalent is considered. Under this duality the Hamiltonians and anomalous axial currents of the two theories are identified. A consequence of…

High Energy Physics - Theory · Physics 2009-09-10 Chris Ford

Using the weak field approximation, we can express the theory of general relativity in a Maxwell-type structure comparable to electromagnetism. We find that every electromagnetic field is coupled to a gravitoelectric and gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Tajmar , C. de Matos

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…

High Energy Physics - Theory · Physics 2009-05-12 Glenn Barnich , Cedric Troessaert