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The asymptotic structure of gravity at spatial infinity in four spacetime dimensions

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arxiv 1904.04495 v2 pith:UYDJTN32 submitted 2019-04-09 hep-th gr-qc

Marc Henneaux , Cédric Troessaert This is my paper · ORCID
classification hep-thgr-qc
keywords asymptoticconditionsactiondimensionsfourgravityinfinityparity
verification ladder T0 review T1 audit T2 compute T3 formal

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A review of our results on the asymptotic structure of gravity at spatial infinity in four spacetime dimensions is given. Finiteness of the action and integrability of the asymptotic Lorentz boost generators are key criteria that we implement through appropriate boundary conditions. These conditions are `twisted parity conditions', expressing that the leading order of the asymptotic fields obey strict parity conditions under the sphere antipodal map up to an improper gauge transformation. The asymptotic symmetries are shown to form the infinite-dimensional BMS group, which has a non trivial action. The charges and their algebra are worked out. The presentation aims at being self-contained and at possessing a pedagogical component.

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Cited by 7 Pith papers

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

  1. Wheeler-DeWitt equation and Bondi-Metzner-Sachs (BMS) symmetry

    hep-th 2025-06 conditional novelty 6.0 of 10

    BRST-invariant extensions of the BMS generators are constructed and used to define matrix elements between Wheeler-DeWitt states.

  2. BMS representations for generic supermomentum

    hep-th 2025-05 accept novelty 6.0 of 10

    The authors introduce a Lorentz-invariant hard/soft decomposition of supermomenta and use it to give explicit realizations, branching rules, and a memory-carrying example for generic unitary irreducible representation...

  3. Field-dependent diffeomorphisms and the transformation of surface charges between gauges

    hep-th 2024-12 conditional novelty 6.0 of 10

    The Weyl charge in (A)dS3 gravity is kinematical: it can be toggled on or off by a field-dependent diffeomorphism between Bondi-Sachs and Fefferman-Graham gauges.

  4. Dual gravitational charges and soft theorems

    hep-th 2019-08 conditional novelty 6.0 of 10

    The complexified supertranslation charge acts as time translation on one radiative mode and as supertranslation on the other, implying a new soft NUT/graviton theorem.

  5. Logarithmic matching between past infinity and future infinity: The massless scalar field

    gr-qc 2024-12 accept novelty 5.0 of 10

    Massless scalar fields with dominant logarithmic terms at null infinity obey an antipodal matching condition with a minus sign, opposite to the standard no-log matching.

  6. ADM, BMS, and some puzzling interconnections

    gr-qc 2025-05 conditional novelty 4.0 of 10

    A perspective paper on ADM/BMS interconnections that separates radiative and static angular-momentum loss, and uses an explicit O(G) example to show antipodal energy matching at i0 is not actual energy flow.

  7. 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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