Extensions of bundles of null directions
- 1 January 1999
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 16 (1) , 255-279
- https://doi.org/10.1088/0264-9381/16/1/019
Abstract
The geometry of , the bundle of null directions over an Einstein spacetime, is studied. The full set of invariants of the natural G-structure on is constructed using the Cartan method of equivalence. This leads to an extension of which is an elliptic fibration over the spacetime. Examples are given which show that such an extension, although natural, is not unique. A reinterpretation of the Petrov classification in terms of the fibres of an extension of is presented.Keywords
All Related Versions
This publication has 6 references indexed in Scilit:
- Elliptic fibrations associated with the Einstein space–timesJournal of Mathematical Physics, 1998
- On a certain formulation of the Einstein equationsJournal of Mathematical Physics, 1998
- Twistor bundles, Einstein equations and real structuresClassical and Quantum Gravity, 1997
- Optical geometries and related structuresJournal of Geometry and Physics, 1996
- A spinor approach to general relativityAnnals of Physics, 1960
- Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexesAnnali di Matematica Pura ed Applicata (1923 -), 1933