论文标题
跨空间无穷大的电荷和抗焦点匹配
Charge and Antipodal Matching across Spatial Infinity
论文作者
论文摘要
我们得出了用于证明软吸引人定理和BMS跨空间无限守恒的抗焦点匹配关系。为此,我们在Null Infinity $ \ Mathscr {i} $和空间Infinity $ i^0 $ in Null Infinity $ \ Mathscr {i} $上的Bondi数据之间提供了精确的地图。此外,我们将文献中的$ \ Mathscr {i} $的BMS费用的各种建议明确匹配,并在$ i^0 $上找到保守的费用。
We derive the antipodal matching relations used to demonstrate the equivalence between soft graviton theorems and BMS charge conservation across spatial infinity. To this end we provide a precise map between Bondi data at null infinity $\mathscr{I}$ and Beig-Schmidt data at spatial infinity $i^0$ in a context appropriate to the gravitational scattering problem and celestial holography. In addition, we explicitly match the various proposals of BMS charges at $\mathscr{I}$ found in the literature with the conserved charges at $i^0$.