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arXiv · 1910.06608

Null hypersurfaces in Lorentzian manifolds with the null energy condition

Shintaro Akamine·Atsufumi Honda·Masaaki Umehara·Kotaro Yamada
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Abstract

Let $M^{n+1}_1$ be a light-like geodesically complete Lorentzian $(n+1)$-manifold satisfying the null energy condition. We show that null hypersurfaces properly immersed in $M^{n+1}_1$ are totally geodesic.

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Shintaro Akamine, Atsufumi Honda, Masaaki Umehara, Kotaro Yamada. 2019-10-15. Null hypersurfaces in Lorentzian manifolds with the null energy condition. https://doi.org/10.1016/j.geomphys.2020.103751

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