# 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.

Zeitschrift:
Ann. PDE
Verlag:
Springer
Seiten:
Art. 13
Band:
3, no. 2

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