Maximum Principles for Null Hypersurfaces and Null Splitting Theorems

Details Maximum Principles for Null Hypersurfaces and Null Splitting Theorems Maximum Principles for Null Hypersurfaces and Null Splitting Theorems

1999-09-27

arxiv.org/abs/math/9909158v1

Annales Poincare Phys.Theor. 1 (2000) 543-567

Mathematics

Differential Geometry

26 pages, latex2e

Scientific paper

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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