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

Andersson, L., Gudapati, N., & Szeftel, J. (submitted). Global Regularity for the 2+1 Dimensional Equivariant Einstein-Wave Map System.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0042-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0043-5
Genre: Journal Article

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1501.00616.pdf (Preprint), 691KB
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 Creators:
Andersson, Lars1, Author              
Gudapati, Nishanth, Author
Szeftel, Jeremie, Author
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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: 2015-01-032015-10-292015
 Publication Status: Submitted
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 Identifiers: arXiv: 1501.00616
URI: http://arxiv.org/abs/1501.00616
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Title: Annals of Mathematics
Source Genre: Journal
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