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Regularity of the Future Event Horizon in Perturbations of Kerr

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arxiv 2409.05700 v1 pith:YX4SBSLN submitted 2024-09-09 gr-qc math.APmath.DG

Xuantao Chen , Sergiu Klainerman This is my paper · ORCID
classification gr-qcmath.APmath.DG
keywords citeeventkerrspacetimesstabilityconstructedentireestablished
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abstract

The goal of the paper is to show that the event horizons of the spacetimes constructed in \cite{KS}, see also \cite{KS-Schw}, in the proof of the nonlinear stability of slowly rotating Kerr spacetimes $\mathcal{K}(a_0,m_0)$, are necessarily smooth null hypersurfaces. Moreover we show that the result remains true for the entire range of $|a_0|/m_0$ for which stability can be established.

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  1. 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.

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