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arXiv · 1910.14588

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

Glenn Barnich·Pujian Mao·Romain Ruzziconi
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Abstract

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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Glenn Barnich, Pujian Mao, Romain Ruzziconi. 2019-10-31. BMS current algebra in the context of the Newman-Penrose formalism. https://doi.org/10.1088/1361-6382%2Fab7c01

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