DOI: 10.1112/jlms.70745 ISSN: 0024-6107

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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