Gravitation and the local symmetry group of space-time

被引:7
作者
Calçada, M [1 ]
Pereira, JG [1 ]
机构
[1] Univ Estadual Paulista, Inst Fis Teor, BR-01405900 Sao Paulo, Brazil
基金
巴西圣保罗研究基金会;
关键词
general relativity; spin connection; tetrad; symmetry groups;
D O I
10.1023/A:1015240629332
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
According to general relativity, the interaction of a matter field with gravitation requires the simultaneous introduction of a tetrad field, which is a field related to translations, and a spin connection, which is a field assuming values in the Lie algebra of the Lorentz group. These two fields, however, are not independent. By analyzing the constraint between them, it is concluded that the relevant local symmetry group behind general relativity is provided by the Lorentz group. Furthermore, it is shown that the minimal coupling prescription obtained from the Lorentz covariant derivative coincides exactly with the usual coupling prescription of general relativity. Instead of the tetrad, therefore, the spin connection is to be considered as the fundamental field representing gravitation.
引用
收藏
页码:729 / 736
页数:8
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