克尔扰动中未来事件视界的规律性

arXiv - MATH - Differential Geometry Pub Date : 2024-09-09 DOI:arxiv-2409.05700

Xuantao Chen, Sergiu Klainerman

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引用次数: 0

摘要

本文的目的是证明在证明缓慢旋转的克尔时空 $\mathcal{K}(a_0,m_0)$ 的非线性稳定性时，在 \cite{KS}（另见 \cite{KS-Schw}）中构建的时空的事件视界必然是光滑的空超曲面。此外，我们还证明了这一结果在可以建立稳定性的整个 $|a_0|/m_0$ 范围内都是正确的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Regularity of the Future Event Horizon in Perturbations of Kerr

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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arXiv - MATH - Differential Geometry

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