Subleading BMS charges and fake news near null infinity
Abstract
In this paper we establish a relation between the non-linearly conserved New-man-Penrose charges and certain subleading terms in a large-r expansion of the BMS charges in an asymptotically-flat spacetime. We define the subleading BMS charges by considering a 1/r-expansion of the Barnich-Brandt prescription for defining asymptotic charges in an asymptotically-flat spacetime. At the leading order, i.e. 1/r0, 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 r-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.
- Authors:
-
- Max-Planck-Institut für Gravitationsphysik, Potsdam (Germany)
- Eidgenössische Technische Hochschule Zürich (Switzerland)
- Texas A & M Univ., College Station, TX (United States); Cambridge Univ. (United Kingdom)
- Publication Date:
- Research Org.:
- Texas A & M Univ., College Station, TX (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1611520
- Grant/Contract Number:
- SC0010813
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 1; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Classical Theories of Gravity; Space-Time Symmetries
Citation Formats
Godazgar, Hadi, Godazgar, Mahdi, and Pope, C. N. Subleading BMS charges and fake news near null infinity. United States: N. p., 2019.
Web. doi:10.1007/jhep01(2019)143.
Godazgar, Hadi, Godazgar, Mahdi, & Pope, C. N. Subleading BMS charges and fake news near null infinity. United States. https://doi.org/10.1007/jhep01(2019)143
Godazgar, Hadi, Godazgar, Mahdi, and Pope, C. N. Wed .
"Subleading BMS charges and fake news near null infinity". United States. https://doi.org/10.1007/jhep01(2019)143. https://www.osti.gov/servlets/purl/1611520.
@article{osti_1611520,
title = {Subleading BMS charges and fake news near null infinity},
author = {Godazgar, Hadi and Godazgar, Mahdi and Pope, C. N.},
abstractNote = {In this paper we establish a relation between the non-linearly conserved New-man-Penrose charges and certain subleading terms in a large-r expansion of the BMS charges in an asymptotically-flat spacetime. We define the subleading BMS charges by considering a 1/r-expansion of the Barnich-Brandt prescription for defining asymptotic charges in an asymptotically-flat spacetime. At the leading order, i.e. 1/r0, 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 r-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.},
doi = {10.1007/jhep01(2019)143},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2019,
place = {United States},
year = {Wed Jan 16 00:00:00 EST 2019},
month = {Wed Jan 16 00:00:00 EST 2019}
}
Web of Science
Works referenced in this record:
Residual diffeomorphisms and symplectic soft hairs: The need to refine strict statement of equivalence principle
journal, October 2016
- Sheikh-Jabbari, M. M.
- International Journal of Modern Physics D, Vol. 25, Issue 12
Stability of gravity with a cosmological constant
journal, February 1982
- Abbott, L. F.; Deser, S.
- Nuclear Physics B, Vol. 195, Issue 1
A remark about wave equations on the extreme Reissner–Nordström black hole exterior
journal, February 2013
- Bizoń, Piotr; Friedrich, Helmut
- Classical and Quantum Gravity, Vol. 30, Issue 6
Symplectic Geometry of Radiative Modes and Conserved Quantities at Null Infinity
journal, May 1981
- Ashtekar, A.; Streubel, M.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 376, Issue 1767
Local symmetries and constraints
journal, March 1990
- Lee, Joohan; Wald, Robert M.
- Journal of Mathematical Physics, Vol. 31, Issue 3
Aspects of the BMS/CFT correspondence
conference, April 2011
- Barnich, Glenn; Troessaert, Cédric
- Proceedings of Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity — PoS(CNCFG2010)
Aspects of the BMS/CFT correspondence
journal, May 2010
- Barnich, Glenn; Troessaert, Cédric
- Journal of High Energy Physics, Vol. 2010, Issue 5
On BMS invariance of gravitational scattering
journal, July 2014
- Strominger, Andrew
- Journal of High Energy Physics, Vol. 2014, Issue 7
BMS supertranslations and Weinberg’s soft graviton theorem
journal, May 2015
- He, Temple; Lysov, Vyacheslav; Mitra, Prahar
- Journal of High Energy Physics, Vol. 2015, Issue 5
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
journal, August 1962
- Bondi, Hermann; Van der Burg, M. G. J.; Metzner, A. W. K.
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 269, Issue 1336, p. 21-52
Conservation Laws, Constants of the Motion, and Hamiltonians
conference, January 2012
- Goldberg, Joshua
- Proceedings of 2002 International Conference, Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebanski
Soft Hair on Black Holes
journal, June 2016
- Hawking, Stephen W.; Perry, Malcolm J.; Strominger, Andrew
- Physical Review Letters, Vol. 116, Issue 23
Superrotation charge and supertranslation hair on black holes
journal, May 2017
- Hawking, Stephen W.; Perry, Malcolm J.; Strominger, Andrew
- Journal of High Energy Physics, Vol. 2017, Issue 5
Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity
journal, November 2013
- Barnich, Glenn; Troessaert, Cédric
- Journal of High Energy Physics, Vol. 2013, Issue 11
Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
journal, October 1962
- Sachs, R. K.
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 270, Issue 1340, p. 103-126
Covariant theory of asymptotic symmetries, conservation laws and central charges
journal, June 2002
- Barnich, Glenn; Brandt, Friedemann
- Nuclear Physics B, Vol. 633, Issue 1-2
BMS charge algebra
journal, December 2011
- Barnich, Glenn; Troessaert, Cédric
- Journal of High Energy Physics, Vol. 2011, Issue 12
General definition of “conserved quantities” in general relativity and other theories of gravity
journal, March 2000
- Wald, Robert M.; Zoupas, Andreas
- Physical Review D, Vol. 61, Issue 8
Horizon instability of extremal black holes
journal, January 2015
- Aretakis, Stefanos
- Advances in Theoretical and Mathematical Physics, Vol. 19, Issue 3
Spin‐ s Spherical Harmonics and ð
journal, November 1967
- Goldberg, J. N.; Macfarlane, A. J.; Newman, E. T.
- Journal of Mathematical Physics, Vol. 8, Issue 11
Some properties of the Noether charge and a proposal for dynamical black hole entropy
journal, July 1994
- Iyer, Vivek; Wald, Robert M.
- Physical Review D, Vol. 50, Issue 2
An Approach to Gravitational Radiation by a Method of Spin Coefficients
journal, May 1962
- Newman, Ezra; Penrose, Roger
- Journal of Mathematical Physics, Vol. 3, Issue 3
Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes
journal, January 2018
- Angelopoulos, Y.; Aretakis, S.; Gajic, D.
- Advances in Mathematics, Vol. 323
Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations I
journal, May 2011
- Aretakis, Stefanos
- Communications in Mathematical Physics, Vol. 307, Issue 1
Soft Hair on Black Holes
text, January 2016
- Hawking, Stephen W.; Perry, Malcolm J.; Strominger, Andrew
- arXiv
Superrotation Charge and Supertranslation Hair on Black Holes
text, January 2016
- Hawking, Stephen W.; Perry, Malcolm J.; Strominger, Andrew
- arXiv
Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes
text, January 2016
- Angelopoulos, Yannis; Aretakis, Stefanos; Gajic, Dejan
- arXiv
BMS Supertranslations and Not So Soft Gravitons
text, January 2016
- Conde, Eduardo; Mao, Pujian
- arXiv
On the horizon instability of an extreme Reissner-Nordström black hole
journal, March 2013
- Lucietti, James; Murata, Keiju; Reall, Harvey S.
- Journal of High Energy Physics, Vol. 2013, Issue 3
Aspects of the BMS/CFT correspondence
conference, April 2011
- Barnich, Glenn; Troessaert, Cédric
- Proceedings of Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity — PoS(CNCFG2010)
Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations I
text, January 2011
- Aretakis, Stefanos
- arXiv
Works referencing / citing this record:
Dual gravitational charges and soft theorems
text, January 2019
- Godazgar, Hadi; Godazgar, Mahdi; Pope, C. N.
- Apollo - University of Cambridge Repository
Dual gravitational charges and soft theorems
journal, October 2019
- Godazgar, Hadi; Godazgar, Mahdi; Pope, C. N.
- Journal of High Energy Physics, Vol. 2019, Issue 10
Tower of subleading dual BMS charges
text, January 2019
- Hadi, Godazgar,; Mahdi, Godazgar,; C. N., Pope,
- ETH Zurich
Tower of subleading dual BMS charges
text, January 2018
- Godazgar, Hadi; Godazgar, Mahdi; Pope, C. N.
- arXiv
Charge algebra in Al(A)dSn spacetimes
journal, May 2021
- Fiorucci, Adrien; Ruzziconi, Romain
- Journal of High Energy Physics, Vol. 2021, Issue 5
A note on dual gravitational charges
journal, December 2020
- Oliveri, Roberto; Speziale, Simone
- Journal of High Energy Physics, Vol. 2020, Issue 12
Amplitudes from Coulomb to Kerr-Taub-NUT
preprint, January 2020
- Emond, William T.; Huang, Yu-tin; Kol, Uri
- arXiv
Conservation and Integrability in Lower-Dimensional Gravity
text, January 2020
- Ruzziconi, Romain; Zwikel, Céline
- arXiv