双空规中无穷远处角动量的超平移不变性

IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly 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

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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。

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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.

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来源期刊

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.