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arXiv · 1308.6057

Outer trapped surfaces are dense near MOTSs

Piotr T. Chrusciel·Gregory J. Galloway
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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.

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Piotr T. Chrusciel, Gregory J. Galloway. 2013-08-28. Outer trapped surfaces are dense near MOTSs. https://doi.org/10.1088/0264-9381%2F31%2F4%2F045013

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