On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes
Differential Geometry
2014-10-14 v2 General Relativity and Quantum Cosmology
Abstract
We show that timelike maximal cylinders in always develop singularities in finite time and that, infinitesimally at a generic singularity, their time slices are evolved by a rigid motion or a self-similar motion. We also prove a mild generalization in non-flat backgrounds.
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@article{arxiv.1201.5183,
title = {On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes},
author = {Luc Nguyen and Gang Tian},
journal= {arXiv preprint arXiv:1201.5183},
year = {2014}
}
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