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

{"title":"克尔扰动中未来事件视界的规律性","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":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":\"2 1\",\"pages\":\"\"},\"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}","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

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。

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

arXiv - MATH - Differential Geometry

自引率

0.00%

发文量