Characterizing killing vector fields of standard static space-times

Abstract

Cataloged from PDF version of article.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.

Sequential warped products: Curvature and conformal vector fields

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