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