Characterizing killing vector fields of standard static space-times
Author
Dobarro, F.
Ünal, B.
Date
2012Source Title
Journal of Geometry and Physics
Print ISSN
0393-0440
Publisher
Elsevier
Volume
62
Issue
5
Pages
1070 - 1087
Language
English
Type
ArticleItem Usage Stats
135
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108
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Abstract
We provide a global characterization of the Killing vector fields of a standard static space-time by a system of partial differential equations. By studying this system, we determine all the Killing vector fields in the same framework when the Riemannian part is compact. Furthermore, we deal with the characterization of Killing vector fields with zero curl on a standard static space-time. © 2011 Elsevier B.V..
Keywords
HessianKilling vector fields
Non-rotating vector fields
Standard static space-times
Warped products
53C21
53C50
53C80