Space-time and G_2
| dc.creator | Doubrov, Boris | |
| dc.creator | Holland, Jonathan | |
| dc.creator | Sparling, George | |
| dc.date | 2009-01-05 | |
| dc.date.accessioned | 2026-07-07T12:24:38Z | |
| dc.date.available | 2026-07-07T12:24:38Z | |
| dc.description | A Weyl structure is a bundle over space-time, whose fiber at each space-time point is a space of maximally isotropic complex tangent planes. We develop the theory of Weyl connections for Weyl structures and show that the requirement that the connection be torsion-free fixes the Weyl connection uniquely. Further we show that to each such Weyl connection, there is naturally associated a (2, 3, 5)-Pfaffian system, as first analyzed by Cartan. We determine the associated G_2-conformal structure and calculate it explicitly in the cases of the Kapadia family of space-times and of the Schwarzschild solution | |
| dc.description | 49 pages | |
| dc.identifier | https://arxiv.org/abs/0901.0543 | |
| dc.identifier | http://arxiv.org/abs/0901.0543 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214389 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Space-time and G_2 | |
| dc.type | text |