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Spacetime metric from linear electrodynamics II

1999/11/24 by Friedrich W. Hehl, Hehl, Friedrich W., Yuri N. Obukhov +3
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.gr-qc/9911096

11 pages, Latex-script, Based on a talk given at the `International European Conference on Gravitation: Journées Relativistes 99.' Weimar, Germany, 12-17 Sep 1999. Annalen der Physik, to appear (2000)

arxiv created 1999/11/24 · openalex publication_date 1999/11/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Following Kottler, É.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 between H and F. First we split off a pseudo-scalar (axion) field from the constitutive tensor; its remaining 20 components can be used to define a duality operator ^# for 2-forms. If we enforce the constraint ##=-1, then we can derive of that the conformally invariant part of the \em metric of spacetime.

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