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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
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.
