Tetrad symmetries
type: Item
instance of: scholarly article
title: Tetrad symmetries
zbMATH Open document ID: 0713.53037
DOI: 10.1007/BF00759017
author: C. D. Collinson
published in: General Relativity and Gravitation
publication date: 1990-01-01T00:00:00Z
review text: Let (M,g) be a parallelizable four-dimensional space-time. A parallelization \(z_ 1,z_ 2,z_ 3,z_ 4\in {\mathfrak X}(M)\) of M is called ``tetrad''. The main result of the paper is: if G is a subgroup of the group of motions of (M,g), then there exists a tetrad, symmetric under G iff the rank of the generators of G is equal to the order of G. An example of such a tetrad is also provided.
reviewed by: Gabriel Teodor Pripoae
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 83C20
Mathematics Subject Classification ID: 83C40
zbMATH DE Number: 4173827
zbMATH Keywords: Killing vector fields
zbMATH Keywords: parallelizable four-dimensional space-time
zbMATH Keywords: tetrad
zbMATH Keywords: group of motions
MaRDI profile type: Publication
cites work: Killing vectors in empty space algebraically special metrics. I
cites work: Q3241635
cites work: Symmetries of type N empty space-times possessing twisting geodesic rays
full work available at URL: https://doi.org/10.1007/bf00759017
OpenAlex ID: W4245473776
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description: scientific article; zbMATH DE number 4173827