Vacuum type I spacetimes and aligned Papapetrou fields: symmetries

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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19 pages; a reference added

Scientific paper

10.1088/0264-9381/20/24/004

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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