New dual gravitational charges

Abstract

We show that there are a further infinite number of, previously unknown, supertranslation charges. These can be viewed as duals of the known Bondi-Metzner-Sachs (BMS) charges corresponding to supertranslations. In Newman-Penrose language, these new supertranslation charges roughly correspond to the imaginary part of the leading term in ψ2. We find these charges by dualizing the Barnich-Brandt asymptotic charges and argue that this prescription gives rise to new bona fide charges at null infinity.