Extension of bundles of null directions
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
The geometry of P, the bundle of null directions over an Einstein space-time, is studied. The full set of invariants of the natural G-structure on P is constructed using the Cartan method of equivalence. This leads to an extension of P which is an elliptic fibration over the space-time. 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 P is presented.
Cite
@article{arxiv.gr-qc/9810070,
title = {Extension of bundles of null directions},
author = {Pawel Nurowski and Lane Hughston and David Robinson},
journal= {arXiv preprint arXiv:gr-qc/9810070},
year = {2009}
}
Comments
LaTex file, accepted in CQG