Geometric evolution equations and marginally outer trapped surfaces.
by Kristen Moore
Abstract: Marginally outer trapped surfaces (MOTS), or apparent horizons, play
the role of quasi-local black hole boundaries in general relativity.
From a mathematical point of view, MOTS are the Lorentzian analogue
of minimal surfaces. In this talk, we introduce a new geometric
evolution equation for hypersurfaces in asymptotically flat
Riemannian manifolds, and discuss its application to the study of
MOTS in Lorentzian spacetimes.