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

Andersson, L., Gudapati, N., & Szeftel, J. (2017). Global Regularity for the 2+1 Dimensional Equivariant Einstein-Wave Map System. Annals of PDE, 3: 13. doi:10.1007/s40818-017-0030-z.

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 Creators:
Andersson, Lars1, Author           
Gudapati, Nishanth, Author
Szeftel, Jeremie, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: Mathematics, Analysis of PDEs, math.AP
 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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 Dates: 2015-01-032015-10-2920152017
 Publication Status: Published online
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Title: Annals of PDE
Source Genre: Journal
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Pages: - Volume / Issue: 3 Sequence Number: 13 Start / End Page: - Identifier: -