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A note on the Newman-Unti group and the BMS charge algebra in terms of Newman-Penrose coefficients

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arxiv 1102.0589 v3 pith:DTM2CQUP submitted 2011-02-02 gr-qc hep-th

Glenn Barnich , Pierre-Henry Lambert This is my paper · ORCID
classification gr-qchep-th
keywords algebraconformalinfinitesimalcoefficientslocalnewman-penroseabelianasymptotically
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The symmetry algebra of asymptotically flat spacetimes at null infinity in four dimensions in the sense of Newman and Unti is revisited. As in the Bondi-Metzner-Sachs gauge, it is shown to be isomorphic to the direct sum of the abelian algebra of infinitesimal conformal rescalings with bms4. The latter algebra is the semi-direct sum of infinitesimal supertranslations with the conformal Killing vectors of the Riemann sphere. Infinitesimal local conformal transformations can then consistently be included. We work out the local conformal properties of the relevant Newman-Penrose coefficients, construct the surface charges and derive their algebra.

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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. 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. Twisting asymptotically-flat spacetimes

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Twisting asymptotically-flat spacetimes are brought into a generalized Bondi gauge with finite radial expansion, producing new flux-balance laws, Carroll-boost symmetries, and finite supertranslated Kerr–Taub–NUT metrics.

  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. Gravitational memory in the bulk

    gr-qc 2019-08 conditional novelty 6.0 of 10

    A new formulation of gravitational memory using null geodesics is proposed, and BMS supertranslations in Newman-Unti gauge are shown to act as bulk memory.

  5. Quasi-local conserved charges in General Relativity

    gr-qc 2019-08 conditional novelty 6.0 of 10

    The paper constructs a general prescription for quasi-local conserved charges in GR and proposes the zero-mode BMS charge in Newman-Unti gauge as a quasi-local energy candidate.

  6. Supertranslations in the bulk of spacetime

    hep-th 2025-12 conditional novelty 5.0 of 10

    Supertranslations can be defined in the bulk as changes of null hypersurfaces, extending boundary symmetries into the interior and producing a curvature-dependent memory effect in Schwarzschild.

  7. 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...

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