Implications of energy conditions on standard static space-times
Author
Dobarro, F.
Ünal, B.
Date
2009Source Title
Nonlinear Analysis, Theory, Methods and Applications
Print ISSN
0362-546X
Publisher
Pergamon Press
Volume
71
Issue
11
Pages
5476 - 5490
Language
English
Type
ArticleItem Usage Stats
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Abstract
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.
Keywords
Conformal hyperbolicityConjugate points
Energy conditions
Scalar curvature map
Standard static space-times
Sub-harmonic functions
Warped products
Conformal hyperbolicity
Fourier series
Harmonic analysis
Weaving
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