Hypersurfaces of prescribed null expansion
arXiv:2107.12782
Abstract
We study hypersurfaces with prescribed null expansion in an initial data set. We propose a notion of stability and prove a topology theorem. Eichmair's Perron approach toward the existence of marginally outer trapped surface adapts to the settings of hypersurfaces with prescribed null expansion with only minor modifications.
arXiv comment3 pages, comments welcome