Supertranslation invariance of angular momentum

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Advances in Theoretical and Mathematical Physics Pub Date : 2021-02-05 DOI:10.4310/atmp.2021.v25.n3.a4
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang, S. Yau
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引用次数: 23

Abstract

LIGO’s successful detection of gravitational waves has revitalized the theoretical understanding of the angular momentum carried away by gravitational radiation. An infinite dimensional supertranslation ambiguity has presented an essential difficulty for decades of study. Recent advances were made to address and quantify the supertranslation ambiguity in the context of compact binary coalescence. Here we present the first definition of angular momentum in general relativity that is completely free from supertranslation ambiguity. The new definition was derived from the limit of the quasilocal angular momentum defined previously by the authors. A new definition of center of mass at null infinity is also proposed and shown to be supertranslation invariant. Together with the classical Bondi-Sachs energy-momentum, they form a complete set of conserved quantities at null infinity that transform according to basic physical laws.
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角动量的超平移不变性
LIGO对引力波的成功探测,重新激活了对引力波辐射带来的角动量的理论理解。无限维的超翻译歧义是几十年来研究的一个重要难题。最近的进展作出了解决和量化超翻译歧义在紧凑的二进制合并的背景下。在这里,我们提出了广义相对论中角动量的第一个定义,它完全没有超平移歧义。新的定义是由作者先前定义的准局部角动量的极限推导出来的。提出了零无穷远处质心的一个新定义,并证明了它是超平移不变量。与经典的Bondi-Sachs能量动量一起,它们在零无穷处形成了一套完整的守恒量,根据基本物理定律进行变换。
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来源期刊
Advances in Theoretical and Mathematical Physics
Advances in Theoretical and Mathematical Physics 物理-物理:粒子与场物理
CiteScore
2.20
自引率
6.70%
发文量
0
审稿时长
>12 weeks
期刊介绍: Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.
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