On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes
classification
🧮 math.DG
gr-qc
keywords
cylindersmaximalmotiontimetimelikealwaysbackgroundsdevelop
read the original 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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