Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-09-25
Class.Quant.Grav. 20 (2003) 5291-5307
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
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.
Ferrando Joan J.
Sáez Juan A.
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