On the space-times admitting two shear-free geodesic null congruences
| dc.creator | Sáez, Joan Josep Ferrando Juan Antonio | |
| dc.date | 2006-06-02 | |
| dc.date | 2007-02-28 | |
| dc.date.accessioned | 2026-07-07T10:24:21Z | |
| dc.date.available | 2026-07-07T10:24:21Z | |
| dc.description | We analyze the space-times admitting two shear-free geodesic null congruences. The integrability conditions are presented in a plain tensorial way as equations on the volume element $U$ of the time-like 2--plane that these directions define. From these we easily deduce significant consequences. We obtain explicit expressions for the Ricci and Weyl tensors in terms of $U$ and its first and second order covariant derivatives. We study the different compatible Petrov-Bel types and give the necessary and sufficient conditions that characterize every type in terms of $U$. The type D case is analyzed in detail and we show that every type D space-time admitting a 2+2 conformal Killing tensor also admits a conformal Killing-Yano tensor. | |
| dc.description | 18 pages; v2: minor changes | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0606015 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0606015 | |
| dc.identifier | Gen.Rel.Grav.39:343-359,2007 | |
| dc.identifier | doi:10.1007/s10714-006-0388-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/176150 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On the space-times admitting two shear-free geodesic null congruences | |
| dc.type | text |