Implications of energy conditions on standard static space-times
Nonlinear Analysis, Theory, Methods and Applications
5476 - 5490
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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.
Scalar curvature map
Standard static space-times