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BMS current algebra in the context of the Newman-Penrose formalism

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arxiv 1910.14588 v2 pith:Z7N2O2EI submitted 2019-10-31 gr-qc hep-th

Glenn Barnich , Pujian Mao , Romain Ruzziconi This is my paper · ORCID
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keywords newman-penrosealgebracurrentformalismkillingvectorsactionadapted
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Starting from an action principle adapted to the Newman-Penrose formalism, we provide a self-contained derivation of BMS current algebra, which includes the generalization of the Bondi mass loss formula to all BMS generators. In the spirit of the Newman-Penrose approach, infinitesimal diffeomorphisms are expressed in terms of four scalars rather than a vector field. In this framework, the on-shell closed co-dimension two forms of the linearized theory associated with Killing vectors of the background are constructed from a standard algorithm. The explicit expression for the breaking that occurs when using residual gauge transformations instead of exact Killing vectors is worked out and related to the presymplectic flux.

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Cited by 4 Pith papers

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  4. 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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