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Citation - WoS: 77
Citation - Scopus: 74
Doubly Warped Products
(Elsevier Science Bv, 2001) Ünal, B
In this paper we study geodesic completeness of Riemannian doubly warped products and Lorentzian doubly warped products. We give necessary conditions for generalized Robertson-Walker spacetimes with doubly warped product spacial parts to be globally hyperbolic. We also state some results about killing and conformal vector fields of doubly warped products.
Citation - WoS: 30
Citation - Scopus: 32
Geodesic Structure of Standard Static Space-Times
(Elsevier Science Bv, 2003) Allison, DE; Ünal, B
The geodesic structure of standard static space-times is studied and conditions are found which imply nonreturning and pseudoconvex geodesic systems. As a consequence, it is shown that if the Riemannian factor manifold F satisfies the nonreturning property and has a pseudoconvex geodesic system and if the warping function f : F --> (0, infinity) is bounded above then the standard static space-time (f)(a, b) x F is geodesically connected. (C) 2002 Elsevier Science B.V. All rights reserved.