Special conformal symmetries in general relativity
type: Item
instance of: scholarly article
title: Special conformal symmetries in general relativity
zbMATH Open document ID: 0691.53013
DOI: 10.1007/BF00756209
published in: General Relativity and Gravitation
publication date: 1990-01-01T00:00:00Z
review text: A conformal vector field is one satisfying the conformal version of Killing's equation; it is special if the conformal factor is not identically constant but has zero second covariant derivatives. It is shown that such fields generate symmetries of the Ricci tensor, the Einstein tensor and the curvature tensor. The general properties of the somewhat restricted space-times having such symmetries are investigated (an intrinsic family of flat 2-manifolds is determined, the vector field is hypersurface-orthogonal and the space-time is geodesically incomplete).
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 83C15
Mathematics Subject Classification ID: 83C40
zbMATH DE Number: 4131183
zbMATH Keywords: conformal vector field
zbMATH Keywords: Killing's equation
zbMATH Keywords: symmetries
zbMATH Keywords: Ricci tensor
zbMATH Keywords: Einstein tensor
zbMATH Keywords: curvature tensor
author: G. S. Hall
reviewed by: C. W. Kilmister
MaRDI profile type: Publication
cites work: Affine collineations in space-time
cites work: Q5731354
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Wikidata QID: Q125989397
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description: scientific article; zbMATH DE number 4131183