Abstract
We construct large classes of vacuum general relativistic initial data sets, possibly with a cosmological constant \({\Lambda \in \mathbb{R}}\), containing ends of cylindrical type.
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Communicated by James A. Isenberg
P. T. Chruściel was supported in part by the Polish Ministry of Science and Higher Education grant Nr N N201 372736 and by IHES, Bures-sur-Yvette.
R. Mazeo was supported in part by the NSF grant DMS-1105050.
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Chruściel, P.T., Mazzeo, R. Initial Data Sets with Ends of Cylindrical Type: I. The Lichnerowicz Equation. Ann. Henri Poincaré 16, 1231–1266 (2015). https://doi.org/10.1007/s00023-014-0339-z
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DOI: https://doi.org/10.1007/s00023-014-0339-z