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A gravitational field can be seen as the anholonomy of the tetrad fields. This is more explicit in the teleparallel approach, in which the gravitational field-strength is the torsion of the ensuing Weitzenboeck connection. In a tetrad…

General Relativity and Quantum Cosmology · Physics 2015-06-25 R. Aldrovandi , P. B. Barros , J. G. Pereira

One of the highlight of this note is that the author presents the relativistic gravity field that Einstein was looking for. The field is a byproduct of the matter in motion. This field can include both the discrete and continuous…

Mathematical Physics · Physics 2009-10-06 Victor M. Bogdan

We consider variation of energy of the light-like particle in the pseudo-Riemann space-time, find Lagrangian, canonical momenta and forces. Equations of the critical curve are obtained by the nonzero energy integral variation in accordance…

General Relativity and Quantum Cosmology · Physics 2018-06-22 W. B. Belayev

A case of moving one-dimensional electromagnetic (EM) solitons formed in a relativistic interaction of a linearly polarized laser light with underdense cold plasma is investigated. The relativistic Lorentz force in an intense laser light…

Plasma Physics · Physics 2007-05-23 Ljupco Hadzievski , Ana Mancic , Milos Skoric

The classical electromagnetic field of a spinless point electron is described in a formalism with extended causality by discrete finite point-vector fields with discrete and localized point interactions. These fields are taken as a…

High Energy Physics - Theory · Physics 2016-08-15 Manoelito M de Souza , Jair V. Costa , Adriano S. Pedra

Both electromagnetic shock-waves and gravitational waves propagate with the speed of light. If they carry significant energy-momentum, this will change the properties of the space-time they propagate through. This can be described in terms…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Bence Racskó , László Árpád Gergely

A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime, gravito-electromagnetic potentials and fields are defined to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Simon J. Clark , Robin W. Tucker

The form of the energy-momentum tensor when a quasimonochromatic field propagates into and through an antireflection-coated, sourceless, transparent, continuous, linear magneto-dielectric medium, initially at rest in the local frame,…

Optics · Physics 2022-11-21 Michael E. Crenshaw

Physical objects with energy $u_w(l) \sim l^{-3w}$ with $l$ a characteristic length and $w$ a numerical constant ($-1 \leq w \leq 1$), lead to an equation of state $p=w\rho$, with $p$ the pressure and $\rho$ the energy density. Special…

General Relativity and Quantum Cosmology · Physics 2015-06-17 David Jou , Maria Stella Mongiovi' , Michele Sciacca

Minkowski spacetime is a convenient setting for the study of the relativistic dynamics of particles and fields in the vacuum. In order to study events that occur in a dielectric or other linear medium, we adopt the familiar continuum…

Classical Physics · Physics 2009-02-27 Michael E. Crenshaw

We associate intrinsic energy equal to $h\nu/2$ with the spin angular momentum of photon and propose a topological model based on orbifold in space and tifold in time as topological obstructions. The model is substantiated using vector…

Quantum Physics · Physics 2008-11-26 S C Tiwari

The identity of classical motion is established for two physically different models, one of which is the relativistic particle with torsion, whose action contains higher derivatives and which is the effective system for the statistically…

High Energy Physics - Theory · Physics 2008-02-03 Mikhail S. Plyushchay

The motion of a test particle in the gravitational field of a non-spherical source endowed with both mass and mass quadrupole moment is investigated when a test radiation field is also present. The background is described by the Erez-Rosen…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Donato Bini , Andrea Geralico , Andrea Passamonti

This paper presents a brief review of the newly developed \emph{Extended Electrodynamics}. The relativistic and non-relativistic approaches to the extension of Maxwell equations are considered briefly, and the further study is carried out…

High Energy Physics - Theory · Physics 2007-05-23 Stoil Donev , Maria Tashkova

In this paper, we establish some rigidity theorems for space-like hypersurfaces in Minkowski space by using a Weinberger-type approach with P-functions and integral identities. Firstly, for space-like hypersurfaces $M$ represented as graphs…

Differential Geometry · Mathematics 2025-12-30 Jianhua Chen , Haiyun Deng , Haiqin Xie , Jiabin Yin

One of the problems of physics arguably greater in stature than even mathematical Hilberts problems is the mysterious nature of electromagnetic momentum in materials. In this paper we show that the difference between the Minkowski and…

Optics · Physics 2024-07-02 Maxim Durach

We consider a stress-energy tensor describing a pure radiation viscous fluid with conformal symmetry introduced in arXiv:1708.06255. We show that the corresponding equations of motions are causal in Minkowski background and also when…

Analysis of PDEs · Mathematics 2019-01-31 Marcelo M. Disconzi

We consider the problem of uniqueness of static and asymptotically flat Einstein-Maxwell spacetimes with a photon sphere $P^3$. We are using a naturally modified definition of a photon sphere for electrically charged spacetimes with the…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Stoytcho Yazadjiev , Boian Lazov

The concept "Classical Electromagnetism" in the title of the paper here refers to a theory built on three foundations: relativity principles, the original Maxwell's equations, and the mathematics of exterior calculus. In this theory of…

Classical Physics · Physics 2007-05-23 Leif Pettersson

The problem of determining the electromagnetic and gravitational ``self-force'' on a particle in a curved spacetime is investigated using an axiomatic approach. In the electromagnetic case, our key postulate is a ``comparison axiom'', which…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Theodore C. Quinn , Robert M. Wald