The light-cone theorem
General Relativity and Quantum Cosmology
2015-05-13 v2
Abstract
We prove that the area of cross-sections of light-cones, in space-times satisfying suitable energy conditions, is smaller than or equal to that of the corresponding cross-sections in Minkowski, or de Sitter, or anti-de Sitter space-time. The equality holds if and only if the metric coincides with the corresponding model in the domain of dependence of the light-cone.
Cite
@article{arxiv.0905.2133,
title = {The light-cone theorem},
author = {Yvonne Choquet-Bruhat and Piotr T. Chrusciel and Jose M. Martin-Garcia},
journal= {arXiv preprint arXiv:0905.2133},
year = {2015}
}
Comments
24 pages, 1 figure. Minor changes to match published version