BMS charges in polyhomogeneous 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.

42 pages

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Cited by in corpus (8)

• BMS Flux Algebra in Celestial Holography
• General null asymptotics and superrotation-compatible configuration spaces in $d\ge 4$
• Tractor geometry of asymptotically flat spacetimes
• Symmetries of the gravitational scattering in the absence of peeling
• Renormalization of conformal infinity as a stretched horizon
• Asymptotic symmetries in spatially flat FRW
• Linear Newman-Penrose charges as subleading BMS and dual BMS charges
• Bondi Mass, Memory Effect and Balance Law of Polyhomogeneous Spacetime