Charge and antipodal matching across spatial infinity

Capone, Federico, Nguyen, Kevin and Parisini, Enrico (2023) Charge and antipodal matching across spatial infinity. SciPost Phys., 14 (2), [014]. (doi:10.21468/SciPostPhys.14.2.014).

Record type: Article

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 I and Beig—Schmidt data at spatial infinity i⁰ in a context appropriate to the gravitational scattering problem and celestial holography. In addition, we explicitly match the various proposals of BMS charges at I found in the literature with the conserved charges at i⁰.

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Accepted/In Press date: 31 October 2022

e-pub ahead of print date: 6 February 2023

Published date: February 2023

Additional Information: Funding Information: We thank Geoffrey Compère and Romain Ruzziconi for their reading of the manuscript and useful comments. We thank Piotr Chrusciel, Marc Henneaux, Prahar Mitra, Kostas Skenderis and Juan Valiente Kroon for valuable discussions. KN thanks Jakob Salzer for past collaboration on related topics. The work of KN was supported by the STFC grants ST/P000258/1 and ST/T000759/1. The work of EP was supported by the Royal Society Research Grants RGF/EA/181054 and RF/ERE/210267. FC is funded by the EPSRC Doctoral Prize Award EP/T517859/1. Publisher Copyright: © 2023 The Author(s).

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