On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes

Published 25 Jan 2012 in math.DG and gr-qc | (1201.5183v2)

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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