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Global stability of Minkowski spacetime with minimal decay

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arxiv 2310.07483 v1 pith:RTFX2TCK submitted 2023-10-11 math.AP gr-qcmath.DG

Dawei Shen This is my paper · ORCID
classification math.APgr-qcmath.DG
keywords citebierich-kldecayassumptionsestimatesglobalminimal
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abstract

The global stability of Minkowski spacetime, a milestone in the field, has been proven in the celebrated work of Christodoulou and Klainerman \cite{Ch-Kl} in 1993. In 2007, Bieri \cite{Bieri} has extended the result of \cite{Ch-Kl} under lower decay and regularity assumptions on the initial data. In this paper, we extend the result of \cite{Bieri} to minimal decay assumptions. Also, concerning the treatment of curvature estimates, we replace the vectorfield method used in \cite{Ch-Kl,Bieri} by the $r^p$--weighted estimates of Dafermos and Rodnianski \cite{Da-Ro}.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Formation of Trapped Surfaces from Spacelike Initial Data

    gr-qc 2026-07 conditional novelty 7.0 of 10

    Short-pulse free scalars on a spacelike hypersurface yield asymptotically flat Cauchy data whose vacuum evolution forms trapped surfaces, including time-symmetric cases.

  2. A canonical foliation on null infinity in perturbations of Kerr

    gr-qc 2024-12 conditional novelty 7.0 of 10

    A canonical LGCM foliation of future null infinity is constructed in perturbed Kerr spacetimes, giving unique definitions of energy, momentum, angular momentum and center of mass with standard radiation laws.

  3. A Physical space derivation of Morawetz-Energy estimates in Kerr spacetimes with large angular momentum

    gr-qc 2026-07 conditional novelty 6.5 of 10

    Physical-space Morawetz-energy estimates hold for the scalar wave equation on Kerr with |a|/m ≤ 0.75, via trapping-set characterization, Stogin-type low-frequency control, and a physical-space Whiting transform.

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