Outer trapped surfaces are dense near MOTSs

Piotr T. Chruściel, Gregory J. Galloway

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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
Issue number4
StatePublished - Feb 21 2014


  • Einstein constraint equations
  • marginally outer trapped surfaces
  • singularity theorems

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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