Geodesic structure of standard static space-times
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Date
2003
Authors
Ünal, Bernis
Ünal, B
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Volume Title
Publisher
Elsevier Science Bv
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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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Fields of Science
Citation
24
WoS Q
Q1
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Source
Volume
46
Issue
2
Start Page
193
End Page
200