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arXiv · 1501.00616

Global Regularity for the 2+1 Dimensional Equivariant Einstein-Wave Map System

Lars Andersson·Nishanth Gudapati·Jeremie Szeftel
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Abstract

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.

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Lars Andersson, Nishanth Gudapati, Jeremie Szeftel. 2015-01-04. Global Regularity for the 2+1 Dimensional Equivariant Einstein-Wave Map System. https://doi.org/10.1007/s40818-017-0030-z

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