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

来源：

CLASSICAL AND QUANTUM GRAVITY | 1999年 / 16卷 / 01期

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.

引用

页码：255 / 279

页数：25

共 14 条

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[Anonymous], 1954, Sci. Not. Kazan Univ

[2]

Cartan E., 1932, Ann. Scuola Norm. Super. Pisa Cl. Sci., V1, P333

[3]

Cartan E., 1986, On Manifolds with an Affine Connection and the Theory of General Relativity

[4]

Cartan E., 1933, Ann. Math. Pura Appl., V11, P17