1201.5183 (Luc Nguyen et al.)

On smoothness of timelike maximal cylinders in three dimensional vacuum
spacetimes    [PDF]

Luc Nguyen, Gang Tian

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.

View original: http://arxiv.org/abs/1201.5183