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arXiv · math/9909158

Maximum Principles for Null Hypersurfaces and Null Splitting Theorems

Gregory J. Galloway
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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.

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Gregory J. Galloway. 1999-09-27. Maximum Principles for Null Hypersurfaces and Null Splitting Theorems. https://doi.org/10.1007/s000230050006

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