Conformal vector fields and conformal-type collineations in space-times
type: Item
instance of: scholarly article
title: Conformal vector fields and conformal-type collineations in space-times
zbMATH Open document ID: 0976.53073
DOI: 10.1023/A:1001941209388
published in: General Relativity and Gravitation
publication date: 2001-12-18T00:00:00Z
review text: This article discusses the existence of homothetic and conformal vector fields in spacetimes with a Killing symmetry. The study of Weyl invariants along the integral curves of the conformal vector fields leads to restrictions for the existence of such fields. A non-existence theorem for proper conformal fields in spacetimes of certain Petrov classes is given. The Bianchi I universe is discussed as an example. The relationship between conformal vector fields and Weyl collineations is studied.
reviewed by: C. Klein
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 83C20
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 1513314
zbMATH Keywords: general relativity
zbMATH Keywords: metrics with symmetries
zbMATH Keywords: Killing symmetry
zbMATH Keywords: conformal vector field
zbMATH Keywords: Weyl collineation
author: G. S. Hall
MaRDI profile type: Publication
cites work: Q5731354
cites work: Conformal symmetries and fixed points in space-time
cites work: Homothetic transformations with fixed points in spacetime
cites work: Affine collineations in space-time
cites work: Collineations of Godel-type space-times
cites work: Symmetries of the nontwisting type-N solutions with cosmological constant
cites work: Proper homothetic maps and fixed points
cites work: Affine collineations in general relativity and their fixed point structure
full work available at URL: a:1001941209388
OpenAlex ID: W2391376150
description: scientific article; zbMATH DE number 1513314