Extension of bundles of null directions

Details Extension of bundles of null directions Extension of bundles of null directions

1998-10-21

arxiv.org/abs/gr-qc/9810070v1

Class.Quant.Grav. 16 (1999) 255-279

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTex file, accepted in CQG

Scientific paper

10.1088/0264-9381/16/1/019

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.

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