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Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity

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arxiv 1805.11288 v1 pith:VA5HLBCN submitted 2018-05-29 gr-qc hep-th

Marc Henneaux , Cédric Troessaert This is my paper · ORCID
classification gr-qchep-th
keywords asymptoticinfinityalgebrahamiltonianconditionseinstein-maxwellnullspatial
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abstract

We present a new set of asymptotic conditions for gravity at spatial infinity that includes gravitational magnetic-type solutions, allows for a non-trivial Hamiltonian action of the complete $BMS_4$ algebra, and leads to a non-divergent behaviour of the Weyl tensor as one approaches null infinity. We then extend the analysis to the coupled Einstein-Maxwell system and obtain as canonically realized asymptotic symmetry algebra a semi-direct sum of the $BMS_4$ algebra with the angle dependent $u(1)$ transformations. The Hamiltonian charge-generator associated with each asymptotic symmetry element is explicitly written. The connection with matching conditions at null infinity is also discussed.

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Cited by 6 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

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    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. Carrollian Perspective on Celestial Holography

    hep-th 2022-02 unverdicted novelty 6.0 of 10

    A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.

  5. 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.

  6. 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.

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