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Charge and Antipodal Matching across Spatial Infinity

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arxiv 2204.06571 v5 pith:7SUV4O4X submitted 2022-04-13 hep-th gr-qc

classification hep-thgr-qc
keywords infinityspatialacrossantipodalchargechargesdatamatching
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Energy-Momentum-News Complex near Future Null Infinity

    hep-th 2026-07 accept novelty 7.5 of 10

    A Carroll-covariant energy-momentum-news complex at future null infinity yields Ward identities that generalise the Bondi loss equations, with an anomalous Carroll boost.

  2. Subleading Asymptotic Charges in Massless Scalar QED

    hep-th 2026-08 conditional novelty 6.0 of 10

    In massless scalar QED with 1/u tail data, three conserved asymptotic charges exist at null infinity; one is new and is conjecturally tied to large gauge transformations that diverge linearly in retarded time.

  3. GGI lectures on boundary and asymptotic symmetries

    hep-th 2025-12 conditional novelty 4.0 of 10

    A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...

  4. Lectures on Carrollian Holography

    hep-th 2025-11 conditional novelty 3.0 of 10

    Massless scattering amplitudes, including gravitons, can be recast as correlators of a carrollian conformal field theory on null infinity, but the non-perturbative bootstrap program remains incomplete.

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