BMS charges without supertranslation ambiguity
BMS charges without supertranslation ambiguity
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BMS 收费无超级翻译歧义
DOI：
10.1007/s00220-022-04390-1
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发表时间：
2022
影响因子：
2.4
通讯作者：
Yau, Shing-Tung
中科院分区：
文献类型：
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作者：
Chen, Po-Ning;Wang, Mu-Tao;Wang, Ye-Kai;Yau, Shing-Tung
孤立引力系统或Bondi-Metzner-Sachs(BMS)群的渐近对称性包含一个无限维超平移子群。尽管经过了几十年的研究，“超平移歧义”的困难仍然存在于理解基本概念上，比如引力辐射带走的角动量。作者最近解决了角动量和质心问题。在这篇文章中，我们讨论了经典BMS代数和扩展BMS代数的守恒电荷问题。特别地，完全证明了BMS代数和扩展BMS代数的经典电荷的超平移歧义。然后，我们通过在经典电荷中加入修正项，提出了一个新的不变电荷。随着这些修正项的存在，新的不变电荷被证明是没有任何超平移歧义的。最后，我们证明了扩展的BMS代数的经典电荷和不变电荷在Boost变换下都是不变的。
The asymptotic symmetry of an isolated gravitating system, or the Bondi–Metzner–Sachs (BMS) group, contains an infinite-dimensional subgroup of supertranslations. Despite decades of study, the difficulties with the “supertranslation ambiguity” persisted in making sense of fundamental notions such as the angular momentum carried away by gravitational radiation. The issues of angular momentum and center of mass were resolved by the authors recently. In this paper, we address the issues for conserved charges with respect to both the classical BMS algebra and the extended BMS algebra. In particular, supertranslation ambiguity of the classical charge for the BMS algebra, as well as the extended BMS algebra, is completely identified. We then propose a new invariant charge by adding correction terms to the classical charge. With the presence of these correction terms, the new invariant charge is then shown to be free from any supertranslation ambiguity. Finally, we prove that both the classical and invariant charges for the extended BMS algebra are invariant under the boost transformations.