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arXiv · 2204.06571

Charge and Antipodal Matching across Spatial Infinity

Federico Capone·Kevin Nguyen·Enrico Parisini
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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 $i^0$.

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Federico Capone, Kevin Nguyen, Enrico Parisini. 2022-04-13. Charge and Antipodal Matching across Spatial Infinity. https://doi.org/10.21468/scipostphys.14.2.014

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