We show that any vacuum initial data set containing a marginally outer trapped surface S and satisfying a 'no KIDs' condition can be perturbed near S so that S becomes strictly outer trapped in the new vacuum initial data set. This, together with the results in Eichmair et al (2012), gives a precise sense in which generic initial data containing marginally outer trapped surfaces lead to geodesically incomplete spacetimes.
- Einstein constraint equations
- marginally outer trapped surfaces
- singularity theorems
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)