We reexamine the relation between the Aretakis charge of an extremal black hole spacetime and the Newman-Penrose charge of a weakly asymptotically flat spacetime obtained from the original one through radial inversion and conformal mapping. Building on recent work by Godazgar, Godazgar, and Pope, we present an explicit general relation between these quantities showing how the charge densities are mapped. As a nontrivial example we provide the computation of both quantities and their explicit relation for the extremal Kerr spacetime.

• Received 2 December 2018

DOI:https://doi.org/10.1103/PhysRevD.98.124035

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Published by the American Physical Society