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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.
hep-th, gr-qc
Capone, Federico
3b96f1b5-79b9-4acd-8bd0-2a84116ec944
Nguyen, Kevin
334ef1a6-9d83-4713-a603-d567cf627c21
Parisini, Enrico
b1e0f8e0-9464-4ff5-bbc5-d37eeebf4a2d
Capone, Federico
3b96f1b5-79b9-4acd-8bd0-2a84116ec944
Nguyen, Kevin
334ef1a6-9d83-4713-a603-d567cf627c21
Parisini, Enrico
b1e0f8e0-9464-4ff5-bbc5-d37eeebf4a2d

Capone, Federico, Nguyen, Kevin and Parisini, Enrico (2022) Charge and antipodal matching across spatial infinity 39pp. (doi:10.48550/arXiv.2204.06571).

Record type: Monograph (Working Paper)

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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2204.06571v3 - Author's Original
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More information

Published date: 13 April 2022
Additional Information: 26 pages + appendices. v2: added references. v3: added references and comments
Keywords: hep-th, gr-qc
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Identifiers

Local EPrints ID: 471752
URI: http://eprints.soton.ac.uk/id/eprint/471752
DOI: doi:10.48550/arXiv.2204.06571
PURE UUID: 6206da37-9eb6-4ef0-84a3-b928df1493f9
ORCID for Federico Capone: ORCID iD orcid.org/0000-0003-0636-0173
ORCID for Enrico Parisini: ORCID iD orcid.org/0000-0001-9908-6315

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Date deposited: 17 Nov 2022 17:44
Last modified: 17 Mar 2024 03:57

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Contributors

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

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