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Maximum Principles for Null Hypersurfaces and Null Splitting Theorems

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arxiv math/9909158 v1 pith:YC5WZ7MR submitted 1999-09-27 math.DG gr-qc

Gregory J. Galloway This is my paper · ORCID
classification math.DGgr-qc
keywords nullsplittinghypersurfacesmaximumtheoremasymptoticallyconsequencecontain
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. New conditions for multipartite entanglement wedge connectivity in $n$-to-$n$ holographic scattering

    hep-th 2025-12 conditional novelty 7.0 of 10

    One causal '2-to-all' pair of input regions suffices to make the n-input entanglement wedge connected in AdS3 holographic scattering; new necessary ridge-entering conditions follow.

  2. Minimax surfaces and the holographic entropy cone

    hep-th 2025-02 conditional novelty 7.0 of 10

    Stable minimax surfaces are shown to be HRT surfaces, the entanglement wedge is the smallest minimax homology region, and a cooperating time-sheet configuration would prove the equality of RT and HRT entropy cones.

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