[引用][C] Charge and antipodal matching across spatial infinity, SciPost Phys
F Capone, K Nguyen, E Parisini - arXiv preprint arXiv:2204.06571, 2023
Charge and antipodal matching across spatial infinity
F Capone, K Nguyen, E Parisini - SciPost Physics, 2023 - scipost.org
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$.
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$.
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