Abstract
The Bondi-van der Burg-Metzner-Sachs (BMS) group is the asymptotic symmetry group of asymptotically flat gravity. Recently, Donnay et al. have derived an analogous symmetry group acting on black hole event horizons. For a certain choice of boundary conditions, it is a semidirect product of Diff(S 2), the smooth diffeomorphisms of the twosphere, acting on C ∞(S 2), the smooth functions on the two-sphere. We observe that the same group appears in fluid dynamics as symmetries of the compressible Euler equations. We relate these two realizations of Diff(S 2) ⋉ C ∞(S 2) using the black hole membrane paradigm. We show that the Lie-Poisson brackets of membrane paradigm fluid charges reproduce the near-horizon BMS algebra. The perspective presented here may be useful for understanding the BMS algebra at null infinity.
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Penna, R.F. Near-horizon BMS symmetries as fluid symmetries. J. High Energ. Phys. 2017, 49 (2017). https://doi.org/10.1007/JHEP10(2017)049
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DOI: https://doi.org/10.1007/JHEP10(2017)049