A more direct representation for complex relativity
| dc.creator | Delphenich, David | |
| dc.date | 2007-07-31 | |
| dc.date.accessioned | 2026-07-07T11:52:51Z | |
| dc.date.available | 2026-07-07T11:52:51Z | |
| dc.description | An alternative to the representation of complex relativity by self-dual complex 2-forms on the spacetime manifold is presented by assuming that that the bundle of real 2-forms is given an almost-complex structure. From this, one can define a complex orthogonal structure on the bundle of 2-forms, which results in a more direct representation of the complex orthogonal group in three complex dimensions. The geometrical foundations of general relativity are then presented in terms of the bundle of oriented complex orthogonal 3-frames on the bundle of 2-forms in a manner that essentially parallels their construction in terms of self-dual complex 2-forms. It is shown that one can still discuss the Debever-Penrose classification of the Riemannian curvature tensor in terms of the representation presented here. | |
| dc.description | 33 pages | |
| dc.identifier | https://arxiv.org/abs/0707.4681 | |
| dc.identifier | http://arxiv.org/abs/0707.4681 | |
| dc.identifier | AnnalenPhys.16:615-639,1997 | |
| dc.identifier | doi:10.1002/andp.200610250 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204331 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | A more direct representation for complex relativity | |
| dc.type | text |