论文标题
从天体多极端重建的度量重建
Metric reconstruction from celestial multipoles
论文作者
论文摘要
没有传入辐射的爱因斯坦田间方程的最通用的真空解决方案可以从两组无限的规范多极矩触及式构造，发现在非线性水平的重力电磁二元性下，它们被发现彼此映射到对方。我们证明，在非辐射区域中，这种空间的特征是一组由Geroch-Hansen多极矩，广义BMS电荷和其他天体多孔组成的一组保守的天体电荷，这些载体构成了跨层次的记忆效应。因此，由辐射过程引起的非辐射区域之间的过渡被天体电荷标记，这些电荷是根据线性化引力场的规范多极矩鉴定的。天体电荷和规范多极矩之间的字典允许全息在源外重建de Donder，Newman-Unti或Bondi仪表的指标。
The most general vacuum solution to Einstein's field equations with no incoming radiation can be constructed perturbatively from two infinite sets of canonical multipole moments, which are found to be mapped into each other under gravitational electric-magnetic duality at the non-linear level. We demonstrate that in non-radiative regions such spacetimes are completely characterized by a set of conserved celestial charges that consist of the Geroch-Hansen multipole moments, the generalized BMS charges and additional celestial multipoles accounting for subleading memory effects. Transitions among non-radiative regions, induced by radiative processes, are therefore labelled by celestial charges, which are identified in terms of canonical multipole moments of the linearized gravitational field. The dictionary between celestial charges and canonical multipole moments allows to holographically reconstruct the metric in de Donder, Newman-Unti or Bondi gauge outside of sources.
