Global Regularity for the 2+1 Dimensional Equivariant Einstein-Wave Map System
Global Regularity for the 2+1 Dimensional Equivariant Einstein-Wave Map System
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DOI：
10.1007/s40818-017-0030-z
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发表时间：
2015-01
期刊：
影响因子：
2.8
通讯作者：
L. Andersson;N. Gudapati;J. Szeftel
中科院分区：
文献类型：
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作者：
L. Andersson;N. Gudapati;J. Szeftel
本文考虑了等变2+1维爱因斯坦波映象系统，证明了当目标满足所谓的Grillakis条件时，整体存在性成立。鉴于具有类空平移Killing场的3+1真空Einstein方程约化为目标为双曲平面的2+1维Einstein波映射系统，特别是满足Grillakis条件，本文证明了这类时空的等变类的整体存在性.
In this paper we consider the equivariant 2+1 dimensional Einstein-wave map system and show that if the target satisfies the so called Grillakis condition, then global existence holds. In view of the fact that the 3+1 vacuum Einstein equations with a spacelike translational Killing field reduce to a 2+1 dimensional Einstein-wave map system with target the hyperbolic plane, which in particular satisfies the Grillakis condition, this work proves global existence for the equivariant class of such spacetimes.