Maximum Principles for Null Hypersurfaces and Null Splitting Theorems
Differential Geometry
2015-06-26 v1 General Relativity and Quantum Cosmology
Abstract
A maximum principle for C^0 null hypersurfaces is obtained and used to derive a splitting theorem for spacetimes which contain null lines. As a consequence of this null splitting theorem, it is proved that an asymptotically simple vacuum (Ricci flat) spacetime which contains a null line is isometric to Minkowski space.
Keywords
Cite
@article{arxiv.math/9909158,
title = {Maximum Principles for Null Hypersurfaces and Null Splitting Theorems},
author = {Gregory J. Galloway},
journal= {arXiv preprint arXiv:math/9909158},
year = {2015}
}
Comments
26 pages, latex2e