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arXiv · gr-qc/9904067

Spacetime metric from linear electrodynamics

Yuri N. Obukhov·Friedrich W. Hehl
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Abstract

The Maxwell equations are formulated on an arbitrary (1+3)-dimensional manifold. Then, imposing a (constrained) linear constitutive relation between electromagnetic field $(E,B)$ and excitation $({\cal D},{\cal H})$, we derive the metric of spacetime therefrom.

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Yuri N. Obukhov, Friedrich W. Hehl. 1999-06-14. Spacetime metric from linear electrodynamics. https://doi.org/10.1016/s0370-2693(99)00643-7

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