Charge and antipodal matching across spatial infinity

Capone, Federico; Nguyen, Kevin; Parisini, Enrico

doi:10.21468/SciPostPhys.14.2.014

SciPost Physics

Charge and antipodal matching across spatial infinity

Federico Capone, Kevin Nguyen, Enrico Parisini

SciPost Phys. 14, 014 (2023) · published 6 February 2023

doi: 10.21468/SciPostPhys.14.2.014
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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 $i^0$.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.2.014
TI  - Charge and antipodal matching across spatial infinity
PY  - 2023/02/06
UR  - https://www.scipost.org/SciPostPhys.14.2.014
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 2
SP  - 014
A1  - Capone, Federico
AU  - Nguyen, Kevin
AU  - Parisini, Enrico
AB  - 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 $i^0$.
ER  -

@Article{10.21468/SciPostPhys.14.2.014,
	title={{Charge and antipodal matching across spatial infinity}},
	author={Federico Capone and Kevin Nguyen and Enrico Parisini},
	journal={SciPost Phys.},
	volume={14},
	pages={014},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.2.014},
	url={https://scipost.org/10.21468/SciPostPhys.14.2.014},
}

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