On the evolution of hypersurfaces along their inverse spacetime mean curvature
Differential Geometry
2022-08-12 v1
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.
Keywords
Cite
@article{arxiv.2208.05709,
title = {On the evolution of hypersurfaces along their inverse spacetime mean curvature},
author = {Gerhard Huisken and Markus Wolff},
journal= {arXiv preprint arXiv:2208.05709},
year = {2022}
}