Evolution of Angular Momentum and Center of Mass at Null Infinity
Evolution of Angular Momentum and Center of Mass at Null Infinity
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DOI：
10.1007/s00220-021-04053-7
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发表时间：
2021-02
影响因子：
2.4
通讯作者：
Po-Ning Chen;Jordan Keller;Mu-Tao Wang;Ye-Kai Wang;S. Yau
中科院分区：
文献类型：
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作者：
Po-Ning Chen;Jordan Keller;Mu-Tao Wang;Ye-Kai Wang;S. Yau
我们研究如何保守量，如角动量和质量中心的发展相对于零无穷远，这是描述在一个Bondi-Sachs坐标系的延迟时间。这些演化公式补充了经典的引力辐射的邦迪质量损失公式。它们进一步表示在剪切和新闻张量的潜力。由这些公式得出的结论是：（1）CWY守恒量通量的超平移不变性。(2)角动量守恒定律(3)零无限的对偶范例。特别是，超平移不变性将CWY角动量和质心与经典定义区分开来。
We study how conserved quantities such as angular momentum and center of mass evolve with respect to the retarded time at null infinity, which is described in terms of a Bondi–Sachs coordinate system. These evolution formulae complement the classical Bondi mass loss formula for gravitational radiation. They are further expressed in terms of the potentials of the shear and news tensors. The consequences that follow from these formulae are (1) Supertranslation invariance of the fluxes of the CWY conserved quantities. (2) A conservation law of angular momentum à la Christodoulou. (3) A duality paradigm for null infinity. In particular, the supertranslation invariance distinguishes the CWY angular momentum and center of mass from the classical definitions.