Browsing by Subject "Standard static space-time and generalized Robertson-Walker space-time"

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    2-Killing vector fields on warped product manifolds
    (World Scientific Publishing, 2015) Shenawy, S.; Ünal, B.
    This paper provides a study of 2-Killing vector fields on warped product manifolds as well as characterization of this structure on standard static and generalized Robertson-Walker space-times. Some conditions for a 2-Killing vector field on a warped product manifold to be parallel are obtained. Moreover, some results on the curvature of a warped product manifolds in terms of 2-Killing vector fields are derived. Finally, we apply our results to describe 2-Killing vector fields of some well-known warped product space-time models. © 2015 World Scientific Publishing Company.