双空规中无穷远处角动量的超平移不变性

Pub Date : 2024-07-18 DOI:10.4310/pamq.2024.v20.n4.a5
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang, Shing-Tung Yau
{"title":"双空规中无穷远处角动量的超平移不变性","authors":"Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang, Shing-Tung Yau","doi":"10.4310/pamq.2024.v20.n4.a5","DOIUrl":null,"url":null,"abstract":"The supertranslation invariance of the Chen-Wang-Yau (CWY) angular momentum in the Bondi-Sachs formalism/gauge was ascertained by the authors in [$\\href{https://doi.org/10.1007/s00220-021-04053-7}{12}$, $\\href{https://dx.doi.org/10.4310/ATMP.2021.v25.n3.a4}{13}$]. In this article, we study the corresponding problem in the double null gauge. In particular, supertranslation ambiguity of this gauge is identified and the CWY angular momentum is proven to be free of this ambiguity. A similar result is obtained for the CWY center of mass integral.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Supertranslation invariance of angular momentum at null infinity in double null gauge\",\"authors\":\"Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang, Shing-Tung Yau\",\"doi\":\"10.4310/pamq.2024.v20.n4.a5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The supertranslation invariance of the Chen-Wang-Yau (CWY) angular momentum in the Bondi-Sachs formalism/gauge was ascertained by the authors in [$\\\\href{https://doi.org/10.1007/s00220-021-04053-7}{12}$, $\\\\href{https://dx.doi.org/10.4310/ATMP.2021.v25.n3.a4}{13}$]. In this article, we study the corresponding problem in the double null gauge. In particular, supertranslation ambiguity of this gauge is identified and the CWY angular momentum is proven to be free of this ambiguity. A similar result is obtained for the CWY center of mass integral.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/pamq.2024.v20.n4.a5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/pamq.2024.v20.n4.a5","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

作者在[$\href{https://doi.org/10.1007/s00220-021-04053-7}{12}$, $\href{https://dx.doi.org/10.4310/ATMP.2021.v25.n3.a4}{13}$]中确定了陈-王-尤(CWY)角动量在邦迪-萨克斯(Bondi-Sachs)形式主义/量规中的超平移不变性。在本文中,我们将研究双空规中的相应问题。特别是,我们发现了这种量规的超平移模糊性,并证明了CWY角动量不存在这种模糊性。类似的结果也适用于 CWY 质心积分。
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
分享 分享
微信好友 朋友圈 QQ好友 复制链接
Supertranslation invariance of angular momentum at null infinity in double null gauge
The supertranslation invariance of the Chen-Wang-Yau (CWY) angular momentum in the Bondi-Sachs formalism/gauge was ascertained by the authors in [$\href{https://doi.org/10.1007/s00220-021-04053-7}{12}$, $\href{https://dx.doi.org/10.4310/ATMP.2021.v25.n3.a4}{13}$]. In this article, we study the corresponding problem in the double null gauge. In particular, supertranslation ambiguity of this gauge is identified and the CWY angular momentum is proven to be free of this ambiguity. A similar result is obtained for the CWY center of mass integral.
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
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1