Outer trapped surfaces are dense near MOTSs

Piotr T. Chruściel, Gregory J. Galloway

Research output: Contribution to journalArticle

2 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 languageEnglish (US)
Article number045013
JournalClassical and Quantum Gravity
Volume31
Issue number4
DOIs
StatePublished - 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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