Browsing by Subject "Conjugate points"

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    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.
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    Jacobi vector fields and conjugate points on warped product manifolds
    (Elsevier Ltd, 2023-06) Dirmeier, Alexander; Scherfner, Mike; Shenawy, Sameh; Ünal, Bülent
    In this paper, the structure of Jacobi vector fields on warped product manifolds is investigated. Many characterizations of Jacobi vector fields on warped product manifolds are obtained. Consequently, conjugate points on warped product manifolds are also considered. Finally, we apply our results to characterize conjugate points of some well-known warped product spacetimes.