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Charge and Antipodal Matching across Spatial Infinity

by Federico Capone, Kevin Nguyen, Enrico Parisini

Submission summary

Authors (as registered SciPost users):

Federico Capone · Kevin Nguyen · Enrico Parisini

Abstract

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 $i^0$.