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 |
|---|---|
| Article number | 045013 |
| Number of pages | 11 |
| Journal | Classical and Quantum Gravity |
| Volume | 31 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Feb 2014 |
Funding
PTC acknowledges the friendly hospitality and financial support of University of Miami during part of work on this paper. His research was further supported in part by Narodowe Centrum Nauki (Poland) under the grant DEC-2011/03/B/ST1/02625, and the Austrian Science Fund (FWF) under project P 23719-N16. GJG acknowledges financial support from the Erwin Schrodinger Institute in Vienna, where most of the work on this paper was carried-out. His research was further supported by NSF grant DMS-1313724, and by a grant from the Simons Foundation (grant no. 63943).
Austrian Fields of Science 2012
- 103028 Theory of relativity
Keywords
- marginally outer trapped surfaces
- singularity theorems
- Einstein constraint equations
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