SPINOR STRUCTURE OF SPACE-TIMES IN GENERAL RELATIVITY .I.

被引：282

作者：

GEROCH, R

机构：

[1] Department of Mathematics, Birkbeck College, London

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1968年 / 9卷 / 11期

关键词：

D O I：

10.1063/1.1664507

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In order to define spinor fields on a space-time M, it is necessary first to endow M with some further structure in addition to its Lorentz metric. This is the spinor structure. The definition and the elementary implications of the existence of a spinor structure are discussed. It is proved that a necessary and sufficient condition for a noncompact space-time M to admit a spinor structure is that M have a global field of orthonormal tetrads. Copyright © 1968 by the American Institute of Physics.

引用

页码：1739 / &

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