BMS charges in polyhomogeneous spacetimes

TL;DR

This paper classifies asymptotic charges in a broader class of polyhomogeneous asymptotically-flat spacetimes, extending the understanding of BMS charges beyond smooth cases and including physically relevant non-peeling spacetimes.

Contribution

It generalizes the classification of asymptotic charges to polyhomogeneous spacetimes, showing that Newman-Penrose charges are a subset of BMS charges in this context.

Findings

Polyhomogeneous spacetimes do not satisfy the peeling property.

Generalized Newman-Penrose charges are a subset of BMS charges.

Classification extends to physically relevant non-smooth spacetimes.

Abstract

We classify the asymptotic charges of a class of polyhomogeneous asymptotically-flat spacetimes with finite shear, generalising recent results on smooth asymptotically-flat spacetimes. Polyhomogenous 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 generalised conserved non-linear Newman-Penrose charges that are known to exist for such spacetimes are a subset of asymptotic BMS charges.