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Vacuum spacetimes with an isometry

Francesc Fayos, Carlos F. Sopuerta

gr-qcarXiv:gr-qc/0012008

Abstract

In vacuum space-times the exterior derivative of a Killing vector field is a two-form that satisfies Maxwell equations without electromagnetic sources. Using the algebraic structure of this two-form we have set up a new formalism for the study of vacuum space-times with an isometry.

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