Implications of Energy Conditions on Standard Static Space-times
Differential Geometry
2009-12-11 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0901.0370,
title = {Implications of Energy Conditions on Standard Static Space-times},
author = {Fernando Dobarro and Bulent Unal},
journal= {arXiv preprint arXiv:0901.0370},
year = {2009}
}
Comments
32 pages