BMS charges in polyhomogeneous spacetimes

Abstract

We classify the asymptotic charges of a class of polyhomogeneous asymptotically flat spacetimes with finite shear, generalizing recent results on smooth asymptotically flat spacetimes. Polyhomogeneous spacetimes are a formally consistent class of spacetimes that do not satisfy the well-known peeling property. As such, they constitute a more physical class of asymptotically flat spacetimes compared to the smooth class. In particular, we establish that the generalized conserved nonlinear Newman-Penrose charges that are known to exist for such spacetimes are a subset of asymptotic BMS charges.