Some exceptional electrovac type D metrics with cosmological constant

Mathematics – Mathematical Physics

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Fundamental Problems And General Formalism

Scientific paper

We investigate all type D solutions of the Einstein-Maxwell equations (with cosmological constant) such that the Debever-Penrose vectors are aligned along the two eigenvectors of the electromagnetic field, in the special case when a direct generalization of the Goldberg-Sachs theorem is not possible. A solution is found which admits no Killing vectors. We also present an extension of the Golberg-Sachs theorem valid for type D metrics.

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