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gr-qc2019★ 8 cited
Causal geodesic incompleteness of spacetimes arising from IMP gluing
Madeleine Burkhart, Daniel Pollack
In 2002, Isenberg-Mazzeo-Pollack (IMP) constructed a series of vacuum initial data sets via a gluing construction. In this paper, we investigate some local geometry of these initia…
gr-qc2019
Null geodesic incompleteness of spacetimes with no CMC Cauchy surfaces
Madeleine Burkhart, Martin Lesourd, Daniel Pollack
Chruściel, Isenberg, and Pollack constructed a class of vacuum cosmological spacetimes that do not admit Cauchy surfaces with constant mean curvature. We prove that, for sufficient…