NDLI: Conformal vector fields on spacetimes

Content Provider	Springer Nature Link
Author	Steller, Michael
Copyright Year	2006
Abstract	We study conformal vector fields and their zeros on spacetimes which are non-conformally-flat. Depending on the Petrov type, we classify all conformal vector fields with zeros. The problems of reducing a conformal vector field to a homothetic vector field are considered. We show that a spacetime admitting a proper homothetic vector field is (locally) a plane wave. This precises a well-known theorem of {Alekseevski}, where all these spacetimes are determined in a more general form.
Starting Page	293
Ending Page	311
Page Count	19
File Format	PDF
ISSN	0232704X
Journal	Annals of Global Analysis and Geometry
Volume Number	29
Issue Number	4
e-ISSN	15729060
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2006-06-23
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Conformal vector fields Conformal group Petrov type Statistics for Business/Economics/Mathematical Finance/Insurance Mathematical and Computational Physics Geometry Analysis Group Theory and Generalizations
Content Type	Text
Resource Type	Article
Subject	Analysis Geometry and Topology

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Conformal vector fields on spacetimes