Null geodesic incompleteness of spacetimes with no CMC Cauchy surfaces
General Relativity and Quantum Cosmology
2019-03-01 v3 Differential Geometry
Abstract
Chru\'sciel, Isenberg, and Pollack constructed a class of vacuum cosmological spacetimes that do not admit Cauchy surfaces with constant mean curvature. We prove that, for sufficiently large values of the gluing parameter, these examples are both future and past null geodesically incomplete. The authors are honored to dedicate this paper to Robert Bartnik on the occasion of his 60th birthday.
Keywords
Cite
@article{arxiv.1902.07411,
title = {Null geodesic incompleteness of spacetimes with no CMC Cauchy surfaces},
author = {Madeleine Burkhart and Martin Lesourd and Daniel Pollack},
journal= {arXiv preprint arXiv:1902.07411},
year = {2019}
}
Comments
All comments welcome! (v3: Dedication and reference added, minor changes)