Homothety groups in space-time
type: Item
instance of: scholarly article
title: Homothety groups in space-time
zbMATH Open document ID: 0698.53012
DOI: 10.1007/BF00756209
published in: General Relativity and Gravitation
publication date: 1990-01-01T00:00:00Z
review text: The authors investigate Lorentzian space-times which admit an r- dimensional Lie algebra of homothetic vector fields at least one of which is proper homothetic (i.e., it is not a Killing vector field). A complete description of the situation is obtained if \(r\geq 6\) and some results are given for \(r\leq 5\). Based on these results the authors also consider space-times which admit affine vector fields. They establish the maximal dimension of the Lie algebra of affine vector fields and construct examples when the dimension of this algebra is high.
reviewed by: Marian Hotloś
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 17B65
zbMATH DE Number: 4144859
zbMATH Keywords: Lorentzian space-times
zbMATH Keywords: homothetic vector fields
zbMATH Keywords: affine vector fields
author: G. S. Hall
author: John D. Steele
MaRDI profile type: Publication
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Wikidata QID: Q125989397
description: scientific article; zbMATH DE number 4144859