Causal geodesic incompleteness of spacetimes arising from IMP gluing

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 e...

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Bibliographic Details
Published in:General relativity and gravitation 2019-10, Vol.51 (10), p.1-19, Article 139
Main Authors: Burkhart, Madeleine, Pollack, Daniel
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Datasets
Differential Geometry
Editor’s Choice (Research Article)
Gluing
Gravity
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Spacetime
Theoretical
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Summary: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.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-019-2621-3