6533b86dfe1ef96bd12c9519
RESEARCH PRODUCT
Vacuum type I spacetimes and aligned Papapetrou fields: symmetries
Joan Josep FerrandoJuan Antonio Sáezsubject
Weyl tensorPhysicsClass (set theory)Physics and Astronomy (miscellaneous)Group (mathematics)Cotton tensorFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Type (model theory)General Relativity and Quantum Cosmologysymbols.namesakeGeneral Relativity and Quantum CosmologyHomogeneous spaceIsometrysymbolsMathematics::Differential GeometryBivectorMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-09-25 |