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Aretakis Charges and Asymptotic Null Infinity
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Aretakis Charges and Asymptotic Null Infinity
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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.
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Cited by 1 Pith paper
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Couch-Torrence conformal inversion, supersymmetry and conserved charges for D3-branes
Couch-Torrence inversion matches Newman-Penrose charges at null infinity to Aretakis charges near horizons for D3-branes in D=10 and bound states in D=4,5, with supersymmetry mapping scalar charges to spinorial dilati...
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