Outer trapped surfaces are dense near MOTSs
General Relativity and Quantum Cosmology
2015-06-17 v2 Differential Geometry
Abstract
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 [9], gives a precise sense in which generic initial data containing marginally outer trapped surfaces lead to geodesically incomplete spacetimes.
Cite
@article{arxiv.1308.6057,
title = {Outer trapped surfaces are dense near MOTSs},
author = {Piotr T. Chrusciel and Gregory J. Galloway},
journal= {arXiv preprint arXiv:1308.6057},
year = {2015}
}
Comments
14 pages, minor rewordings