{"title":"Regularity of the Future Event Horizon in Perturbations of Kerr","authors":"Xuantao Chen, Sergiu Klainerman","doi":"arxiv-2409.05700","DOIUrl":null,"url":null,"abstract":"The goal of the paper is to show that the event horizons of the spacetimes\nconstructed in \\cite{KS}, see also \\cite{KS-Schw}, in the proof of the\nnonlinear stability of slowly rotating Kerr spacetimes $\\mathcal{K}(a_0,m_0)$,\nare necessarily smooth null hypersurfaces. Moreover we show that the result\nremains true for the entire range of $|a_0|/m_0$ for which stability can be\nestablished.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Differential Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05700","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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