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

Autoren: Lars Andersson, Nishanth Gudapati, Jeremie Szeftel (2017)

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.

Ann. PDE
Art. 13
3, no. 2

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