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arXiv · 2208.05709

On the evolution of hypersurfaces along their inverse spacetime mean curvature

Gerhard Huisken·Markus Wolff
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Abstract

We construct weak solutions for the evolution of hypersurfaces along their inverse space-time mean curvature in asymptotically flat maximal initial data sets. As the speed of the new flow is given by a space-time invariant, it can detect both future- and past-trapped apparent horizons. The weak solution extends concepts developed by Huisken-Ilmanen for inverse mean curvature flow and by Moore for inverse null mean curvature flow.

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Gerhard Huisken, Markus Wolff. 2022-08-11. On the evolution of hypersurfaces along their inverse spacetime mean curvature. https://arxiv.org/abs/2208.05709

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