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Vacuum type I spacetimes and aligned Papapetrou fields: symmetries

Joan J. Ferrando·Juan A. Sáez
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Abstract

We analyze type I vacuum solutions admitting an isometry whose Killing 2--form is aligned with a principal bivector of the Weyl tensor, and we show that these solutions belong to a family of type I metrics which admit a group $G_3$ of isometries. We give a classification of this family and we study the Bianchi type for each class. The classes compatible with an aligned Killing 2--form are also determined. The Szekeres-Brans theorem is extended to non vacuum spacetimes with vanishing Cotton tensor.

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Joan J. Ferrando, Juan A. Sáez. 2003-10-24. Vacuum type I spacetimes and aligned Papapetrou fields: symmetries. https://doi.org/10.1088/0264-9381%2F20%2F24%2F004

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