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arXiv · 1201.5183

On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes

Luc Nguyen·Gang Tian
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Abstract

We show that timelike maximal cylinders in $\RR^{1 + 2}$ 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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Luc Nguyen, Gang Tian. 2012-02-16. On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes. https://doi.org/10.1088/0264-9381%2F30%2F16%2F165010

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