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Charge and antipodal matching across spatial infinity

Charge and antipodal matching across spatial infinity
Charge and antipodal matching across spatial infinity
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.
2542-4653
Capone, Federico
9c2503c3-611d-482a-9d84-46e1eaa36ed7
Nguyen, Kevin
334ef1a6-9d83-4713-a603-d567cf627c21
Parisini, Enrico
b1e0f8e0-9464-4ff5-bbc5-d37eeebf4a2d
Capone, Federico
9c2503c3-611d-482a-9d84-46e1eaa36ed7
Nguyen, Kevin
334ef1a6-9d83-4713-a603-d567cf627c21
Parisini, Enrico
b1e0f8e0-9464-4ff5-bbc5-d37eeebf4a2d

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).

Identifiers

Local EPrints ID: 484971
URI: http://eprints.soton.ac.uk/id/eprint/484971
ISSN: 2542-4653
PURE UUID: ce1d36c0-dc36-4a34-8d6e-bfc5e70b80ee
ORCID for Enrico Parisini: ORCID iD orcid.org/0000-0001-9908-6315

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Date deposited: 27 Nov 2023 17:42
Last modified: 05 Jun 2024 19:48

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Contributors

Author: Federico Capone
Author: Kevin Nguyen
Author: Enrico Parisini ORCID iD

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