Remarks on infinite towers of gravitational memories

Abstract

An infinite tower of gravitational memories was proposed in \cite{Compere:2019odm} by considering the matter-induced vacuum transition in the impulsive limit. We give an alternative realization of the infinite towers of gravitational memories in Newman-Penrose formalism. We also demonstrate that the memories at each order can be associated to the same supertranslation instead of infinite towers of supertranslations or superrotations.

arXiv commentv2: minor revision, several issues clarified, typos corrected, refs. added

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• Higher derivative asymptotic charges and internal Lorentz symmetries
• Note on electromagnetic memories
• Linear Newman-Penrose charges as subleading BMS and dual BMS charges