Aretakis Charges and Asymptotic Null Infinity
High Energy Physics - Theory
2017-11-01 v1 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1707.09804,
title = {Aretakis Charges and Asymptotic Null Infinity},
author = {Hadi Godazgar and Mahdi Godazgar and C. N. Pope},
journal= {arXiv preprint arXiv:1707.09804},
year = {2017}
}
Comments
25 pages