Maxwell's equations in Minkowski's world: their premetric generalization and the electromagnetic energy-momentum tensor

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Maxwell's equations in Minkowski's world: their premetric generalization and the electromagnetic energy-momentum tensor

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/5171

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Title: Maxwell's equations in Minkowski's world: their premetric generalization and the electromagnetic energy-momentum tensor
Author: Hehl, F. W. (Friedrich W.), 1937-
Keywords: classical electrodynamics
Minkowski
premetric electrodynamics
energy-momentum tensor
Date: 2008-08-21
Publisher: Wiley-VCH
Citation: Ann. Phys. (Berlin) 17, No. 9 - 10, 691 - 704 (2008) / DOI 10.1002/andp.200810320
Abstract: In December 1907, Minkowski expressed the Maxwell equations in the very beautiful and compact 4-dimensional form: lor f = −s, lor F∗ = 0. Here 'lor', an abbreviation of Lorentz, represents the 4-dimensional differential operator. We study Minkowski's derivation and show how these equations generalize to their modern premetric form in the framework of tensor and exterior calculus (valid also in general relativity). After mentioning some applications of premetric electrodynamics, we turn to Minkowski's discovery of the energy-momentum tensor of the electromagnetic field. We discuss how he arrived at it and how its premetric formulation looks like.
URI: http://hdl.handle.net/10355/5171
ISSN: 1521-3889

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