Outer trapped surfaces are dense near MOTSs

Piotr T. Chruściel; Gregory J. Galloway

doi:10.1088/0264-9381/31/4/045013

Outer trapped surfaces are dense near MOTSs

Piotr T. Chruściel, Gregory J. Galloway

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 Eichmair et al (2012), gives a precise sense in which generic initial data containing marginally outer trapped surfaces lead to geodesically incomplete spacetimes.

Original language	English (US)
Article number	045013
Journal	Classical and Quantum Gravity
Volume	31
Issue number	4
DOIs	https://doi.org/10.1088/0264-9381/31/4/045013
State	Published - Feb 21 2014

Keywords

Einstein constraint equations
marginally outer trapped surfaces
singularity theorems

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1088/0264-9381/31/4/045013

Cite this

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title = "Outer trapped surfaces are dense near MOTSs",

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 Eichmair et al (2012), gives a precise sense in which generic initial data containing marginally outer trapped surfaces lead to geodesically incomplete spacetimes.",

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AU - Chruściel, Piotr T.

AU - Galloway, Gregory J.

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N2 - 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.

AB - 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.

KW - Einstein constraint equations

KW - marginally outer trapped surfaces

KW - singularity theorems

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ER -

Outer trapped surfaces are dense near MOTSs

Abstract

Keywords

ASJC Scopus subject areas

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