paper

Spacetime metric from linear electrodynamics

arXiv:gr-qc/9904067 · doi:10.1016/S0370-2693(99)00643-7

Abstract

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

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