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      Implications of energy conditions on standard static space-times

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      Author
      Dobarro, F.
      Ünal, B.
      Date
      2009
      Source Title
      Nonlinear Analysis, Theory, Methods and Applications
      Print ISSN
      0362-546X
      Publisher
      Pergamon Press
      Volume
      71
      Issue
      11
      Pages
      5476 - 5490
      Language
      English
      Type
      Article
      Item 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 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
      Permalink
      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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