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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

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

Glenn Barnich , Pierre-Henry Lambert This is my paper
classification gr-qc hep-th
keywords algebraconformalinfinitesimalcoefficientslocalnewman-penroseabelianasymptotically
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 4 Pith papers

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

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

    hep-th 2026-07 accept novelty 7.5

    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

    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. Supertranslations in the bulk of spacetime

    hep-th 2025-12 conditional novelty 5.0

    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.

  4. GGI lectures on boundary and asymptotic symmetries

    hep-th 2025-12 conditional novelty 4.0

    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...