Causal geodesic incompleteness of spacetimes arising from IMP gluing

  • Madeleine BurkhartEmail author
  • Daniel Pollack
Editor’s Choice (Research Article)


In 2002, Isenberg–Mazzeo–Pollack (IMP) constructed a family of vacuum initial data sets via a gluing construction. In this paper, we investigate some local geometry of these initial data sets as well as implications regarding their spacetime developments. In particular, we state conditions for the existence of outer trapped surfaces near the center of the IMP gluing neck and thence use a generalization of the Penrose incompleteness theorem to deduce null incompleteness of the resulting spacetimes.


Initial data Gluing Outer trapped surfaces Incompleteness 



This work was supported by a grant from the Simons Foundation (279720-DP). Both authors would like to thank Greg Galloway for his many helpful suggestions and to the anonymous referee for their comments, which improved the exposition of the paper.


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.University of WashingtonSeattleUSA

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