On smoothness of timelike maximal cylinders in three-dimensional vacuum spacetimes

Luc Nguyen; Gang Tian

doi:10.1088/0264-9381/30/16/165010

On smoothness of timelike maximal cylinders in three-dimensional vacuum spacetimes

Luc Nguyen, Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We show that timelike maximal cylinders in ℝ¹⁺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 other backgrounds.

Original language	English (US)
Article number	165010
Journal	Classical and Quantum Gravity
Volume	30
Issue number	16
DOIs	https://doi.org/10.1088/0264-9381/30/16/165010
State	Published - Aug 21 2013

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1088/0264-9381/30/16/165010

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title = "On smoothness of timelike maximal cylinders in three-dimensional vacuum spacetimes",

abstract = "We show that timelike maximal cylinders in ℝ1+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 other backgrounds.",

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AU - Tian, Gang

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AB - We show that timelike maximal cylinders in ℝ1+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 other backgrounds.

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ER -

On smoothness of timelike maximal cylinders in three-dimensional vacuum spacetimes

Abstract

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