English

Subleading BMS charges and fake news near null infinity

High Energy Physics - Theory 2021-02-24 v3 General Relativity and Quantum Cosmology

Abstract

In this paper we establish a relation between the non-linearly conserved Newman-Penrose charges and certain subleading terms in a large-rr expansion of the BMS charges in an asymptotically-flat spacetime. We define the subleading BMS charges by considering a 1/r1/r-expansion of the Barnich-Brandt prescription for defining asymptotic charges in an asymptotically-flat spacetime. At the leading order, i.e. 1/r01/r^0, one obtains the standard BMS charges, which would be integrable and conserved in the absence of a flux term at null infinity, corresponding to gravitational radiation, or Bondi news. At subleading orders, analogous terms in general provide obstructions to the integrability of the corresponding charges. Since the subleading terms are defined close to null infinity, but vanish actually at infinity, the analogous obstructions are not associated with genuine Bondi news. One may instead describe them as corresponding to "fake news." At order r3r^{-3}, we find that a set of integrable charges can be defined and that these are related to the ten non-linearly conserved Newman-Penrose charges.

Keywords

Cite

@article{arxiv.1809.09076,
  title  = {Subleading BMS charges and fake news near null infinity},
  author = {Hadi Godazgar and Mahdi Godazgar and C. N. Pope},
  journal= {arXiv preprint arXiv:1809.09076},
  year   = {2021}
}

Comments

34 pages;few minor typos corrected