Aretakis Charges and Asymptotic Null Infinity

TL;DR

This paper establishes a link between Aretakis charges of extreme black holes and Newman-Penrose charges through a conformal correspondence, revealing new symmetries in supergravity black holes.

Contribution

It introduces a conformal correspondence connecting black hole charges and extends conformal symmetry to a class of supergravity black holes.

Findings

Aretakis charge maps to Newman-Penrose charge under the correspondence

Generalization of conformal isometry to static STU supergravity black holes

New symmetry acts within a specific class of black holes

Abstract

We construct a relation between the Aretakis charge of any extreme black hole and the Newman-Penrose charge. This is achieved by constructing a conformal correspondence between extreme black holes and what we call weakly asymptotically flat space-times. Under this correspondence the Newman-Penrose charge of the weakly asymptotically flat space-time maps on to the Aretakis charge of the extreme black hole. Furthermore, we generalise the conformal isometry displayed by the extreme Reissner-Nordstr\"om solution to a novel conformal symmetry that acts within a class of static STU supergravity black holes.