Implications of energy conditions on standard static space–times |
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Authors: | Fernando Dobarro,Bü lent Ü nal, |
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Affiliation: | aDipartimento di Matematica e Informatica, Università degli Studi di Trieste, Via Valerio 12/B, I-34127 Trieste, Italy;bDepartment of Mathematics, Bilkent University, Bilkent, 06800 Ankara, Turkey |
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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. |
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Keywords: | Warped products Standard static space– times Energy conditions Sub-harmonic functions Scalar curvature map Conformal hyperbolicity Conjugate points |
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