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arXiv 2012-01-25 DOI 10.1088/0264-9381/30/16/165010 0 views

On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes

Nguyen, Luc · Tian, Gang

Original · EN

We show that timelike maximal cylinders in 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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