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arXiv · 2603.23083

Foliation of null cones by surfaces of constant spacetime mean curvature near MOTS

Ben Lambert·Julian Scheuer
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Abstract

Marginally Outer Trapped Surfaces (MOTS) in spacetimes are well-known to indicate the existence of black holes. Using flow techniques, we prove that a neighbourhood of a stable MOTS in a null cone may be foliated by hypersurfaces of constant spacetime mean curvature. We also provide methods to construct prescribed spacetime mean curvature surfaces within null cones.

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Ben Lambert, Julian Scheuer. 2026-03-24. Foliation of null cones by surfaces of constant spacetime mean curvature near MOTS. https://arxiv.org/abs/2603.23083

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