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Within the context of a $5D$ space-time, we construct a unified theory of gravity and electromagnetism from which the Einstein field equations and Maxwell equations emerge, with homogenous Maxwell equations appearing naturally. We also…

广义相对论与量子宇宙学 · 物理学 2010-06-17 A. Borzou , H. R. Sepangi

Magnetized neutron stars constitute a special class of compact objects harbouring gravitational fields that deviate strongly from the Newtonian weak field limit. Moreover strong electromagnetic fields anchored into the star give rise to…

高能天体物理现象 · 物理学 2015-05-22 J. Pétri

The purely affine Lagrangian for linear electrodynamics, that has the form of the Maxwell Lagrangian in which the metric tensor is replaced by the symmetrized Ricci tensor and the electromagnetic field tensor by the tensor of homothetic…

广义相对论与量子宇宙学 · 物理学 2009-04-08 Nikodem J. Poplawski

The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these…

数学物理 · 物理学 2015-05-14 T. Dereli , R. W. Tucker

The standard classic special relativistic transformation of the electromagnetic (EM) field under proper Lorentz transformations is revisited. As to the pure Lorentz-boosts, popular treatments on EM transformation contemplate ideal…

经典物理 · 物理学 2021-09-06 Salil K Bedkihal , Rajeev K Pathak

We consider source-free electromagnetic fields in spacetimes possessing a non-null Killing vector field, $\xi^a$. We assume further that the electromagnetic field tensor, $F_{ab}$, is invariant under the action of the isometry group induced…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Istvan Racz

For a relativistic charged particle moving in a constant electromagnetic field, its velocity 4-vector has been well studied. However, despite the fact that both the electromagnetic field and the equations of motion are purely real, the…

数学物理 · 物理学 2009-11-13 Siu A. Chin

We review the status of electric/magnetic duality for free gauge field theories in four space-time dimensions with emphasis on Maxwell theory and linearized Einstein gravity. Using the theory of vector and tensor spherical harmonics, we…

高能物理 - 理论 · 物理学 2009-10-15 Ioannis Bakas

There is no known fundamental reason to demand as a cosmological initial condition that the bulk possess an SO(3,1) isometry. On the contrary, one expects bulk curvature terms that violate the SO(3,1) isometry at early epochs, leading to a…

高能物理 - 唯象学 · 物理学 2008-11-26 Daniel J. H. Chung , Edward W. Kolb , Antonio Riotto

We argue that the classical theory of electromagnetism is based on Maxwell's macroscopic equations, an energy postulate, a momentum postulate, and a generalized form of the Lorentz law of force. These seven postulates constitute the…

经典物理 · 物理学 2013-12-13 Masud Mansuripur , Armis R. Zakharian

We give a brief summary of the formalism of invariants in general scalar-tensor and multiscalar-tensor gravities without derivative couplings. By rescaling of the metric and reparametrization of the scalar fields, the theory can be…

广义相对论与量子宇宙学 · 物理学 2016-01-01 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

It has been proven that locally the inertial frames and gauge states of the electromagnetic field are equivalent. This proof is valid for Einstein-Maxwell theories in four-dimensional Lorentzian spacetimes. Use will be made of theorems…

广义相对论与量子宇宙学 · 物理学 2025-10-21 Alcides Garat

Starting from covariant expressions, a gauge independent separation of orbital and spin angular momentum for electrodynamics is presented. This results from the non-symmetric canonical energy momentum tensor of the electromagnetic field.…

光学 · 物理学 2017-06-27 Richard T. Hammond

The spontaneous breakdown of 4-dimensional Lorentz invariance in the framework of QED with the nonlinear vector potential constraint A_{\mu}^{2}=M^{2}(where M is a proposed scale of the Lorentz violation) is shown to manifest itself only as…

高能物理 - 理论 · 物理学 2008-11-26 A. T. Azatov , J. L. Chkareuli

Besides the well known scalar invariants, there exist also vectorial invariants in the realm of special relativity. It is shown that the three-vector $\left(\frac{d\vec{p}}{dt}\right)_{\parallel…

经典物理 · 物理学 2016-08-11 Krzysztof Rębilas

Scalar-Tensor theories of gravity can be formulated in different frames, most notably, the Einstein and the Jordan one. While some debate still persists in the literature on the physical status of the different frames, a frame…

天体物理学 · 物理学 2008-11-26 R. Catena , M. Pietroni , L. Scarabello

We consider an Abelian Gauge Theory in R4 equipped with the Minkowski metric. This theory leads to a system of equations, the Klein-Gordon- Maxwell equations, which provide models for the interaction between the electromagnetic field and…

数学物理 · 物理学 2009-03-20 Vieri Benci , Donato Fortunato

It is shown that the Lorentz condition which is a conservation law on the electromagnetic four-vector-density A, plus the Lorentz transformation, taken together, are equivalent to the microscopic Maxwell's equations.

综合物理 · 物理学 2008-12-01 Edmund A. Di Marzio

It has been suggested that one may construct a Lorentz-invariant noncommutative field theory by extending the coordinate algebra to additional, fictitious coordinates that transform nontrivially under the Lorentz group. Integration over…

高能物理 - 唯象学 · 物理学 2009-11-11 Christopher D. Carone , Herry J. Kwee

I compare the matrix representation of the basic statements of Special Relativity with the conventional vector space representation. It is shown, that the matrix form reproduces all equations in a very concise and elegant form, namely:…

综合物理 · 物理学 2007-05-23 Wolfgang Koehler