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Celestial $w_{1+\infty}$ charges and the subleading structure of asymptotically-flat spacetimes

Celestial $w_{1+\infty}$ charges and the subleading structure of asymptotically-flat spacetimes

We study the subleading structure of asymptotically-flat spacetimes and its relationship to the $w_{1+\infty}$ loop algebra of higher spin charges. We do so using both the Bondi-Sachs and the Newman-Penrose formalism, via a dictionary built from a preferred choice of tetrad. This enables us to access properties of the so-called …