Extensions of bundles of null directions

被引:1
作者
Nurowski, P [1 ]
Hughston, L
Robinson, D
机构
[1] Univ Warsaw, Inst Fiz Teoret, Warsaw, Poland
[2] Univ Trieste, Dipartimento Sci Math, Trieste, Italy
[3] Merill Lynch Int, London EC2Y 9LY, England
[4] Univ London Kings Coll, Dept Math, London WC2R 2LS, England
关键词
D O I
10.1088/0264-9381/16/1/019
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The geometry of P, the bundle of null directions over an Einstein spacetime, 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 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 P is presented.
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页码:255 / 279
页数:25
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