Browsing by Subject "Standard static space-times"
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Item Open Access Characterizing killing vector fields of standard static space-times(Elsevier, 2012) Dobarro, F.; Ünal, B.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..Item Open Access Implications of energy conditions on standard static space-times(Pergamon Press, 2009) Dobarro, F.; Ünal, B.In the framework of standard static space-times, we state a family of sufficient or necessary conditions for a set of physically reasonable energy and convergence conditions in relativity and related theories. We concentrate our study on questions about the sub-harmonicity of the warping function, the scalar curvature map, conformal hyperbolicity, conjugate points and the time-like diameter of this class of space-times. © 2009 Elsevier Ltd. All rights reserved.