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

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arxiv 1501.00616 v4 pith:U4PHDXFJ submitted 2015-01-04 math.AP

Lars Andersson , Nishanth Gudapati , Jeremie Szeftel This is my paper · ORCID
classification math.AP
keywords dimensionaleinstein-waveequivariantglobalsystemconditionexistencegrillakis
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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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Cited by 1 Pith paper

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  1. On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes

    gr-qc 2025-07 conditional novelty 4.0 of 10

    For subextremal Kerr spacetimes, the paper constructs a positive-definite, conserved Hamiltonian energy for axially symmetric linear perturbations, indicating a form of linear stability within this symmetry class.

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