Expanding algebraically degenerate vacuum spaces with homothetic motions
type: Item
instance of: scholarly article
title: Expanding algebraically degenerate vacuum spaces with homothetic motions
zbMATH Open document ID: 0675.53066
DOI: 10.1007/BF00758897
author: Anthony W. C. Lun
author: Colin B. G. McIntosh
author: David B. Singleton
published in: General Relativity and Gravitation
publication date: 1988-01-01T00:00:00Z
review text: The authors have investigated some identification of the metrics obtained by \textit{W. D. Halford} and \textit{R. P. Kerr} [J. Math. Phys. 21, 120-128 (1980; Zbl 0452.53027)] and by \textit{W. D. Halford} [ibid. 21, 129-134 (1980; Zbl 0481.53062)]. These metrics are solutions of Einstein's vacuum field equations having algebraically degenerate Weyl tensor and an expanding repeated principal null direction. Some corrections to the first mentioned paper (loc. cit.) are also pointed out. Further an overview of the status of homothetic motions in expanding algebraically degenerate vacuum spacetimes is given.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83C40
zbMATH DE Number: 4105808
zbMATH Keywords: Einstein's vacuum field equations
zbMATH Keywords: Weyl tensor
zbMATH Keywords: null direction
zbMATH Keywords: homothetic motions
reviewed by: S. N. Pandey
MaRDI profile type: Publication
cites work: Einstein Spaces with Symmetry Groups
cites work: Einstein spaces and homothetic motions. I
cites work: Einstein spaces and homothetic motions. II
cites work: Q3896182
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cites work: Type- N Gravitational Field with Twist
cites work: Symmetries of the nontwisting type-N solutions with cosmological constant
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full work available at URL: https://doi.org/10.1007/bf00758897
OpenAlex ID: W2037238273
description: scientific article; zbMATH DE number 4105808