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

par Barnich, Glenn ;Lambert, Pierre-Henry
Référence Journal of physics. Conference series, 410, 1, 012142
Publication Publié, 2013

Article révisé par les pairs

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Résumé :

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 4. 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. © Published under licence by IOP Publishing Ltd.