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arXiv · 1711.00883

Comparison of the DeWitt metric in general relativity with the fourth-rank constitutive tensors in electrodynamics and in elasticity theory

Friedrich W. Hehl·Claus Kiefer
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Abstract

We perform a short comparison between the local and linear constitutive tensor $\chi^{\lambda\nu\sigma\kappa}$ in four-dimensional electrodynamics (Sec.2), the elasticity tensor $c^{ijkl}$ in three-dimensional elasticity theory (Sec.3), and the DeWitt metric $G^{abcd}$ in general relativity, with ${a,b,\dots=1,2,3}$ (Sec.4). We find that the DeWitt metric has only six independent components.

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Friedrich W. Hehl, Claus Kiefer. 2017-11-02. Comparison of the DeWitt metric in general relativity with the fourth-rank constitutive tensors in electrodynamics and in elasticity theory. https://doi.org/10.1007/s10714-017-2329-1

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