克尔空间中不存在封闭的时间似大地线

arXiv - MATH - Differential Geometry Pub Date : 2024-09-12 DOI:arxiv-2409.09094

Giulio Sanzeni

{"title":"克尔空间中不存在封闭的时间似大地线","authors":"Giulio Sanzeni","doi":"arxiv-2409.09094","DOIUrl":null,"url":null,"abstract":"The Kerr-star spacetime is the extension over the horizons and in the\nnegative radial region of the Kerr spacetime. Despite the presence of closed\ntimelike curves below the inner horizon, we prove that the timelike geodesics\ncannot be closed in the Kerr-star spacetime. Since the existence of closed null\ngeodesics was ruled out by the author in Sanzeni [arXiv:2308.09631v3 (2024)],\nthis result shows the absence of closed causal geodesics in the Kerr-star\nspacetime.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonexistence of closed timelike geodesics in Kerr spacetimes\",\"authors\":\"Giulio Sanzeni\",\"doi\":\"arxiv-2409.09094\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Kerr-star spacetime is the extension over the horizons and in the\\nnegative radial region of the Kerr spacetime. Despite the presence of closed\\ntimelike curves below the inner horizon, we prove that the timelike geodesics\\ncannot be closed in the Kerr-star spacetime. Since the existence of closed null\\ngeodesics was ruled out by the author in Sanzeni [arXiv:2308.09631v3 (2024)],\\nthis result shows the absence of closed causal geodesics in the Kerr-star\\nspacetime.\",\"PeriodicalId\":501113,\"journal\":{\"name\":\"arXiv - MATH - Differential Geometry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-12\",\"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-2409.09094\",\"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-2409.09094","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

克尔星时空是克尔时空在地平线和负径向区域的延伸。尽管在内层地平线以下存在封闭的类时间曲线，我们还是证明了类时间大地线在克尔星时空中不可能是封闭的。由于作者在Sanzeni[arXiv:2308.09631v3 (2024)]中排除了封闭空大地线的存在，这一结果表明在克尔星时空中不存在封闭因果大地线。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Nonexistence of closed timelike geodesics in Kerr spacetimes

The Kerr-star spacetime is the extension over the horizons and in the negative radial region of the Kerr spacetime. Despite the presence of closed timelike curves below the inner horizon, we prove that the timelike geodesics cannot be closed in the Kerr-star spacetime. Since the existence of closed null geodesics was ruled out by the author in Sanzeni [arXiv:2308.09631v3 (2024)], this result shows the absence of closed causal geodesics in the Kerr-star spacetime.

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