Geodesic structure of standard static space-times

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2003

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Elsevier Science Bv

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Department of Modern Languages
In DML, post prep students are offered higher level academic English to help further their education and non-prep students are given basic English courses depending on their needs. In the departments students are exposed to various teaching learning methods and techniques and offline and online facilities to help develop learning strategies, analysing, questioning, synthesising, internalising, applying and evaluating the skills and knowledge to utilize them throughout their lives.

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Abstract

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.

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Keywords

geodesics, warped products, standard static space-times, geodesic connectedness, geodesic pseudoconvexity, nonreturning property

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Citation

24

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Volume

46

Issue

2

Start Page

193

End Page

200

URI

https://doi.org/10.1016/S0393-0440(02)00154-7
 https://hdl.handle.net/20.500.14411/1139

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