English

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.

Keywords

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

R2 v1 2026-06-22T21:02:10.387Z