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On the energy-momentum current of the electromagnetic field in a pre-metric axiomatic approach. I

2001/03/07 by Friedrich W. Hehl, Hehl, Friedrich W., Yuri N. Obukhov +1
Physics and Astronomy · #Classical Physics (physics.class-ph) #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #gr-qc #hep-th #physics.class-ph

paper · pdf · doi:10.48550/arxiv.gr-qc/0103020

25 pages, Revtex, Dedicated to the memory of our friend and colleague Ruggiero de Ritis from Napoli

arxiv created 2001/03/07 · openalex publication_date 2001/03/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We complete a metric-free axiomatic framework for electrodynamics by introducing the appropriate energy-momentum current Sigma of the electromagnetic field. We start from the Lorentz force density and motivate the form of Sigma. Then we postulate it (fourth axiom) and discuss its properties. In particular, it is found that Sigma is traceless and invariant under an electric-magnetic reciprocity transformation. By using the Maxwell-Lorentz spacetime relation (fifth axiom), Sigma is also shown to be symmetric, that is, it has 9 independent components

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