On a possible new type of a T odd skewon field linked to electromagnetism

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dc.creatorHehl, Friedrich W.
dc.creatorObukhov, Yuri N.
dc.creatorRubilar, Guillermo F.
dc.date2002-03-26
dc.date.accessioned2026-07-07T03:26:46Z
dc.date.available2026-07-07T03:26:46Z
dc.descriptionIn the framework of generally covariant (pre-metric) electrodynamics (``charge & flux electrodynamics''), the Maxwell equations can be formulated in terms of the electromagnetic excitation $H=({\cal D}, {\cal H})$ and the field strength $F=(E,B)$. If the spacetime relation linking $H$ and $F$ is assumed to be {\em linear}, the electromagnetic properties of (vacuum) spacetime are encoded into 36 components of the vacuum constitutive tensor density $χ$. We study the propagation of electromagnetic waves and find that the metric of spacetime emerges eventually from the principal part $^{(1)}χ$ of $χ$ (20 independent components). In this article, we concentrate on the remaining skewon part $^{(2)}χ$ (15 components) and the axion part $^{(3)}χ$ (1 component). The skewon part, as we'll show for the first time, can be represented by a 2nd rank traceless tensor $\not S_i{}^j$. By means of the Fresnel equation, we discuss how this tensor disturbs the light cones. Accordingly, this is a mechanism for violating Lorentz invariance and time symmetry. In contrast, the (abelian) axion part $^{(3)}χ$ does {\em not} interfere with the light cones.
dc.description17 pages, LaTeX2e. Invited paper, Proceedings 1st Mexican Meeting on Math. and Exp. Physics, Mexico City, Sept.2001, corrected and slightly updated
dc.identifierhttps://arxiv.org/abs/gr-qc/0203096
dc.identifierhttp://arxiv.org/abs/gr-qc/0203096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34173
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleOn a possible new type of a T odd skewon field linked to electromagnetism
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