标题： 完全非线性变换的Weyl-Bondi-Metzner-Sachs渐近对称群 显示英文标题

标题： Fully nonlinear transformations of the Weyl-Bondi-Metzner-Sachs asymptotic symmetry group

摘要： 广义相对论在渐近平直时空中的渐近对称性群可以从Bondi-Metzner-Sachs（BMS）群扩展为Campiglia和Laddha提出的广义BMS（GMBS）群，该群包括天体二维球面的任意微分同胚。 它还可以进一步扩展为Freidel、Oliveri、Pranzetti和Speziale提出的Weyl BMS（BMSW）群，该群包括一般的共形变换。 我们计算了完全非线性BMSW变换对领先阶Bondi规范度规函数的作用：具体来说，包括诱导度规、Bondi质量方面、角动量方面和剪切。 这些结果在BMSW背景下由Freidel等人之前的线性化结果进行了推广，并且也对BMS背景下的非线性结果进行了推广，这些结果由Chen、Wang、Wang和Yau得出。 这些变换定律将有助于探索BMSW群的含义。 显示英文摘要

摘要： The asymptotic symmetry group of general relativity in asymptotically flat spacetimes can be extended from the Bondi-Metzner-Sachs (BMS) group to the generalized BMS (GMBS) group suggested by Campiglia and Laddha, which includes arbitrary diffeomorphisms of the celestial two-sphere. It can be further extended to the Weyl BMS (BMSW) group suggested by Freidel, Oliveri, Pranzetti and Speziale, which includes general conformal transformations. We compute the action of fully nonlinear BMSW transformations on the leading order Bondi-gauge metric functions: specifically, the induced metric, Bondi mass aspect, angular momentum aspect, and shear. These results generalize previous linearized results in the BMSW context by Freidel et al., and also nonlinear results in the BMS context by Chen, Wang, Wang and Yau. The transformation laws will be useful for exploring implications of the BMSW group.