Implications of energy conditions on standard static space-times

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Implications_of_energy_conditions_on_standard_static_space_times.pdf (808.13 KB)

Date

2009

Authors

Dobarro, F.
Ünal, B.

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Source Title

Nonlinear Analysis, Theory, Methods and Applications

Print ISSN

0362-546X

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Publisher

Pergamon Press

Volume

71

Issue

11

Pages

5476 - 5490

Language

English

Type

Article

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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.

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Keywords

Conformal hyperbolicity, Conjugate points, Energy conditions, Scalar curvature map, Standard static space-times, Sub-harmonic functions, Warped products, Conformal hyperbolicity, Fourier series, Harmonic analysis, Weaving, Standards

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http://hdl.handle.net/11693/22539

Published Version (Please cite this version)

http://dx.doi.org/10.1016/j.na.2009.04.035

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Scholarly Publications - Mathematics