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      Characterizing killing vector fields of standard static space-times

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      Author
      Dobarro, F.
      Ünal, B.
      Date
      2012
      Source Title
      Journal of Geometry and Physics
      Print ISSN
      0393-0440
      Publisher
      Elsevier
      Volume
      62
      Issue
      5
      Pages
      1070 - 1087
      Language
      English
      Type
      Article
      Item Usage Stats
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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
      Hessian
      Killing vector fields
      Non-rotating vector fields
      Standard static space-times
      Warped products
      53C21
      53C50
      53C80
      Permalink
      http://hdl.handle.net/11693/21488
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.geomphys.2011.12.010
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