Extension of bundles of null directions

Preprint

21 October 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9810070

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.

Keywords

PETROV CLASSIFICATION
ELLIPTIC FIBRATION
NULL DIRECTIONS
BUNDLE OF NULL
EINSTEIN SPACE
CARTAN METHOD
EXTENSION
GEOMETRY
BUNDLES

All Related Versions

Version 1, 1998-10-21, ArXiv
Published version: Classical and Quantum Gravity, 16 (1), 255.

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