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RESEARCH PRODUCT
Covariant determination of the Weyl tensor geometry
Joan Josep FerrandoJuan Antonio SáezJuan Antonio Moralessubject
PhysicsWeyl tensorGeneral Relativity and Quantum CosmologyKilling vector fieldPure mathematicssymbols.namesakePhysics and Astronomy (miscellaneous)Null (mathematics)symbolsCovariant transformationType (model theory)Characterization (mathematics)description
We give a covariant and deductive algorithm to determine, for every Petrov type, the geometric elements associated with the Weyl tensor: principal and other characteristic 2-forms, Debever null directions and canonical frames. We show the usefulness of these results by applying them in giving the explicit characterization of two families of metrics: static type I spacetimes and type III metrics with a hypersurface-orthogonal Killing vector. PACS numbers: 0240M, 0420C
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-11-08 | Classical and Quantum Gravity |