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The Weak Null Condition and Kaluza-Klein Spacetimes

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arxiv 1706.00026 v1 pith:4RFGPHHU submitted 2017-05-31 gr-qc math.AP

classification gr-qcmath.AP
keywords non-linearstabilityconditionminkowskinullspacetimeweakargument
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abstract

In this paper we prove the non-linear stability of a system of non-linear wave equations satisfying the weak null condition. In particular, this includes the case of the non-linear stability of Minkowski spacetime times a $d$-torus subject to perturbations depending only on the non-compact coordinates. Our argument very closely follows the proof of the non-linear stability of Minkowski spacetime in [Lindblad-Rodnianski-2010].

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Cited by 1 Pith paper

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    gr-qc 2019-08 conditional novelty 6.0 of 10

    PSR J0337 timing bounds on equivalence-principle violation are translated into new constraints on massive scalar, axion, and dark-matter-mediator fifth forces, with the strongest limits on massive Brans-Dicke gravity ...

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