Stability of marginally trapped surfaces and local existence of dynamical and trapping horizons
Seminar Room 1, Newton Institute
Stability properties of marginally outer trapped surfaces within some spacelike or null slice are discussed. In particular, they are related to the property of being boundaries for the regions containing trapped surfaces.
Moreover, given a spacetime with a smooth foliation and a strictly stably marginally trapped surface S on some initial leaf, we show that there is a smooth trapping horizon through S whose marginally trapped slices lie in the leafs of the given foliation.