TY - JOUR
T1 - Outer trapped surfaces are dense near MOTSs
AU - Chruściel, Piotr T.
AU - Galloway, Gregory J.
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2014/2/21
Y1 - 2014/2/21
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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U2 - 10.1088/0264-9381/31/4/045013
DO - 10.1088/0264-9381/31/4/045013
M3 - Article
AN - SCOPUS:84893465432
VL - 31
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 4
M1 - 045013
ER -