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We study the {\em propagation of electromagnetic waves} in a spacetime devoid of a metric but equipped with a {\em linear} electromagnetic spacetime relation $H\sim\chi\cdot F$. Here $H$ is the electromagnetic excitation $({\cal D},{\cal…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Guillermo F. Rubilar , Yuri N. Obukhov , Friedrich W. Hehl

We start from a local and linear spacetime relation between the electromagnetic excitation and the field strength. Then we study the generally covariant Fresnel surfaces for light rays and light waves. The metric and the connection of…

Classical Physics · Physics 2008-11-26 Yuri N. Obukhov , Friedrich W. Hehl

The Maxwell equations expressed in terms of the excitation $\H=({\cal H}, {\cal D})$ and the field strength $F=(E,B)$ are metric-free and require an additional constitutive law in order to represent a complete set of field equations. In…

General Relativity and Quantum Cosmology · Physics 2009-11-11 F. W. Hehl , Yu. N. Obukhov , G. F. Rubilar , M. Blagojevic

After reviewing the construction of metric from premetric electrodynamics with empirical improvement of accuracy in the skewonless case, we explore the role of skewons in the construction of spacetime metric in the full premetric…

General Relativity and Quantum Cosmology · Physics 2015-11-13 Wei-Tou Ni

Within the framework of generally covariant (pre-metric) electrodynamics, we specify a local vacuum spacetime relation between the excitation $H=({\cal D},{\cal H})$ and the field strength $F=(E,B)$. We study the propagation of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Friedrich W. Hehl , Yuri N. Obukhov , Guillermo F. Rubilar

We present a new unified covariant description of electromagnetic field properties for an arbitrary space-time. We derive a complete set of irreducible components describing a six-dimensional electromagnetic field from the Maxwell and…

Classical Physics · Physics 2007-05-23 David Sundkvist

Electromagnetic media with generic linear response provide a rich class of Lorentz violation models. In the framework of a general covariant metric-free approach, we study electromagnetic wave propagation in these media. We define the…

High Energy Physics - Theory · Physics 2015-04-08 Yakov Itin

We consider spacetime to be a 4-dimensional differentiable manifold that can be split locally into time and space. No metric, no linear connection are assumed. Matter is described by classical fields/fluids. We distinguish electrically…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Friedrich W. Hehl , Yuri N. Obukhov

We formulate a general framework for describing the electromagnetic properties of spacetime. These properties are encoded in the `constitutive tensor of the vacuum', a quantity analogous to that used in the description of material media. We…

General Relativity and Quantum Cosmology · Physics 2017-09-27 G. F. Rubilar

Following Kottler, \'E.Cartan, and van Dantzig, we formulate the Maxwell equations in a metric independent form in terms of the field strength $F=(E,B)$ and the excitation $H=({\cal D}, {\cal H})$. We assume a linear constitutive law…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Friedrich W. Hehl , Yuri N. Obukhov , Guillermo F. Rubilar

We consider a possible (parity conserving) interaction between the electromagnetic field $F$ and a torsion field $T^\alpha$ of spacetime. For generic elementary torsion, gauge invariant coupling terms of lowest order fall into two classes…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yakov Itin , Friedrich W. Hehl

In accordance with an old suggestion of Asher Peres (1962), we consider the electromagnetic field as fundamental and the metric as a subsidiary field. In following up this thought, we formulate Maxwell's theory in a diffeomorphism invariant…

Classical Physics · Physics 2009-11-10 Friedrich W. Hehl , Yuri N. Obukhov

We explore the intimate connection between spacetime geometry and electrodynamics. This link is already implicit in the constitutive relations between the field strengths and excitations, which are an essential part of the axiomatic…

General Relativity and Quantum Cosmology · Physics 2017-02-14 Francisco Cabral , Francisco S. N. Lobo

For the study of the gravitational coupling of electromagnetism and the equivalence principle, we have used the spacetime constitutive tensor density {chi}ijkl, and discovered the nonmetric (axion) part (A){chi}ijkl (equal to {phi}eijkl) of…

General Relativity and Quantum Cosmology · Physics 2014-04-02 Wei-Tou Ni

In the framework of metric-free electrodynamics, we start with a {\em linear} spacetime relation between the excitation 2-form $H = ({\cal D}, {\cal H})$ and the field strength 2-form $F = ({E,B})$. This linear relation is constrained by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Andreas Gross , Guillermo F. Rubilar

This paper is intended to investigate the relation between electrodynamics in anisotropic material media and its analogous formulation in an spacetime, with non-null Riemann curvature tensor. After discussing the electromagnetism via chiral…

Classical Physics · Physics 2008-07-11 R. da Rocha , I. L. Freire

Electrodynamics with a local and linear constitutive law is used as a framework for models violating Lorentz covariance. The constitutive tensor of such a construction is irreducibly decomposed into three independent pieces. The principal…

High Energy Physics - Theory · Physics 2017-04-18 Yakov Itin

The approach of metric-affine field theory is to define spacetime as a real oriented 4-manifold equipped with a metric and an affine connection. The 10 independent components of the metric tensor and the 64 connection coefficients are the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Alastair D. King , Dmitri Vassiliev

We take a quick look at the different possible universally coupled scalar fields in nature. Then, we discuss how the gauging of the group of scale transformations (dilations), together with the Poincare group, leads to a Weyl-Cartan…

General Relativity and Quantum Cosmology · Physics 2016-03-29 Friedrich W. Hehl

A new term describing interactions between charge and potentials may be added to the right hand side of the Einstein equations. In the proposed term an additional tensor has been introduced containing a charge density, analogous to the…

General Physics · Physics 2016-09-08 Jacob Biemond
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