Maximum Principles for Null Hypersurfaces and Null Splitting Theorems

Preprint

27 September 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9909158

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

HYPERSURFACES AND NULL
NULL SPLITTING THEOREM
MAXIMUM PRINCIPLES
CONTAIN NULL
NULL LINES
SPACETIME
VACUUM

All Related Versions

Version 1, 1999-09-27, ArXiv
Published version: Annales Henri Poincare, 1 (3), 543.

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