SupertranslatiOn invariance Of angular mOmentum at null infinity in dOuble null gauge∗

Po Ning Chen; Mu Tao Wang; Ye Kai Wang; Shing Tung Yau

doi:10.4310/PAMQ.2024.v20.n4.a5

SupertranslatiOn invariance Of angular mOmentum at null infinity in dOuble null gauge^∗

Po Ning Chen, Mu Tao Wang, Ye Kai Wang, Shing Tung Yau

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研究成果: Article › 同行評審

摘要

The supertranslation invariance of the Chen-Wang-Yau (CWY) angular momentum in the Bondi-Sachs formalism/gauge was ascertained by the authors in [12, 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.

原文	English
頁（從 - 到）	1635-1666
頁數	32
期刊	Pure and Applied Mathematics Quarterly
卷	20
發行號	4
DOIs	https://doi.org/10.4310/PAMQ.2024.v20.n4.a5
出版狀態	Published - 2024

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10.4310/PAMQ.2024.v20.n4.a5

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abstract = "The supertranslation invariance of the Chen-Wang-Yau (CWY) angular momentum in the Bondi-Sachs formalism/gauge was ascertained by the authors in [12, 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.",

author = "Chen, {Po Ning} and Wang, {Mu Tao} and Wang, {Ye Kai} and Yau, {Shing Tung}",

year = "2024",

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AU - Chen, Po Ning

AU - Wang, Mu Tao

AU - Wang, Ye Kai

AU - Yau, Shing Tung

PY - 2024

Y1 - 2024

N2 - The supertranslation invariance of the Chen-Wang-Yau (CWY) angular momentum in the Bondi-Sachs formalism/gauge was ascertained by the authors in [12, 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.

AB - The supertranslation invariance of the Chen-Wang-Yau (CWY) angular momentum in the Bondi-Sachs formalism/gauge was ascertained by the authors in [12, 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.

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U2 - 10.4310/PAMQ.2024.v20.n4.a5

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M3 - Article

AN - SCOPUS:85200731019

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JO - Pure and Applied Mathematics Quarterly

JF - Pure and Applied Mathematics Quarterly

IS - 4

ER -

SupertranslatiOn invariance Of angular mOmentum at null infinity in dOuble null gauge∗

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SupertranslatiOn invariance Of angular mOmentum at null infinity in dOuble null gauge^∗