Abstract

Using the correspondence between a stationary space–time and a curved three-dimensional space with a static magnetic field and a conservative field of force, the Maxwell equations in a stationary space–time are expressed in terms of fields associated with the corresponding three-dimensional geometry. The Maxwell equations take a form analogous to the one they have in flat space–time. The Ricci tensor of the space–time is also written in terms of the three-dimensional fields.

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