Linear Newman-Penrose charges as subleading BMS and dual BMS charges

Abstract

In this paper, we further develop previous work on asymptotically flat spacetimes and extend subleading BMS and dual BMS charges in a large $r$ expansion to all orders in $r^{-1}$. This forms a complete account of this prescription in relation to the previously discovered Newman-Penrose charges. We provide an explanation for the origin of the infinite tower of linear Newman-Penrose charges with regards to asymptotic symmetries and justify why these charges fail to be conserved at the non-linear level as well as failing to exhibit full supertranslation invariance even at the linear level.

26 pages

References in corpus (8)

• Asymptotic gravitational charges
• Topological Terms and the Misner String Entropy
• Hamiltonian derivation of dual gravitational charges
• Aretakis Charges and Asymptotic Null Infinity
• Gravity as a constrained BF theory: Noether charges and Immirzi parameter
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Cited by in corpus (2)

• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• The Case Against Smooth Null Infinity V: Early-Time Asymptotics of Linearised Gravity Around Schwarzschild for Fixed Spherical Harmonic Modes