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Conserved charges of the extended Bondi-Metzner-Sachs algebra

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arxiv 1510.03386 v5 pith:P3T3FXAH submitted 2015-10-12 hep-th gr-qc

classification hep-thgr-qc
keywords chargesassociatedcenter-of-massmemoryordinaryalgebrabondi-metzner-sachsconserved
verification ladder T0 review T1 audit T2 compute T3 formal
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Isolated objects in asymptotically flat spacetimes in general relativity are characterized by their conserved charges associated with the Bondi-Metzner-Sachs (BMS) group. These charges include total energy, linear momentum, intrinsic angular momentum and center-of-mass location, and, in addition, an infinite number of supermomentum charges associated with supertranslations. Recently, it has been suggested that the BMS symmetry algebra should be enlarged to include an infinite number of additional symmetries known as superrotations. We show that the corresponding charges are finite and well defined, and can be divided into electric parity "super center-of-mass" charges and magnetic parity "superspin" charges. The supermomentum charges are associated with ordinary gravitational-wave memory, and the super center-of-mass charges are associated with total (ordinary plus null) gravitational-wave memory, in the terminology of Bieri and Garfinkle. Superspin charges are associated with the ordinary piece of spin memory. Some of these charges can give rise to black-hole hair, as described by Strominger and Zhiboedov. We clarify how this hair evades the no-hair theorems.

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Cited by 7 Pith papers

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  2. Gravitational Memory Beyond Null Infinity through Finite-Distance Carrollian Screens

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    Finite-distance null screens carry a Carrollian memory whose leading tracefree large-radius part reproduces the standard Bondi displacement memory in Robinson–Trautman spacetimes.

  3. Fixing the center-of-mass frame of numerical relativity waveforms using the post-Newtonian center-of-mass charge

    gr-qc 2026-03 conditional novelty 6.0 of 10

    A post-Newtonian model of the boosted center-of-mass charge makes BMS frame-fixing of nonprecessing, unequal-mass NR waveforms less sensitive to the fitting window, reducing parameter variance by up to ~25x.

  4. 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.

  5. 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.

  6. 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...

  7. Asymptotic Generation of Kerr Geometry from Schwarzschild via BMS Supertranslations

    gr-qc 2025-09 reject novelty 4.0 of 10

    The paper claims two BMS supertranslations map Schwarzschild's asymptotic metric to a Kerr-like one, but the matching equations are inconsistent.

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