Abstract
An infinite tower of gravitational memories was proposed in [1] by considering the matter-induced vacuum transition in the impulsive limit. We give an alternative realization of the infinite towers of gravitational memories in Newman-Penrose formalism. We also demonstrate that the memories at each order can be associated to the same supertranslation instead of infinite towers of supertranslations or superrotations.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Compère, Infinite towers of supertranslation and superrotation memories, Phys. Rev. Lett. 123 (2019) 021101 [arXiv:1904.00280] [INSPIRE].
Y.B. Zel’dovich and A.G. Polnarev, Radiation of gravitational waves by a cluster of superdense stars, Sov. Astron. 18 (1974) 17 [INSPIRE].
V.B. Braginsky and L.P. Grishchuk, Kinematic Resonance and Memory Effect in Free Mass Gravitational Antennas, Sov. Phys. JETP 62 (1985) 427 [INSPIRE].
V.B. Braginskii and K.S. Thorne, Gravitational-wave bursts with memory and experimental prospects, Nature 327 (1987) 123.
D. Christodoulou, Nonlinear nature of gravitation and gravitational wave experiments, Phys. Rev. Lett. 67 (1991) 1486 [INSPIRE].
A. Strominger and A. Zhiboedov, Gravitational Memory, BMS Supertranslations and Soft Theorems, JHEP 01 (2016) 086 [arXiv:1411.5745] [INSPIRE].
A. Strominger, Lectures on the Infrared Structure of Gravity and Gauge Theory, arXiv:1703.05448 [INSPIRE].
Y. Hamada and G. Shiu, Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities, Phys. Rev. Lett. 120 (2018) 201601 [arXiv:1801.05528] [INSPIRE].
E. Newman and R. Penrose, An Approach to gravitational radiation by a method of spin coefficients, J. Math. Phys. 3 (1962) 566 [INSPIRE].
E. Newman and R. Penrose, New conservation laws for zero rest-mass fields in asymptotically flat space-time, Proc. Roy. Soc. Lond. A 305 (1968) 175.
E. Conde and P. Mao, BMS Supertranslations and Not So Soft Gravitons, JHEP 05 (2017) 060 [arXiv:1612.08294] [INSPIRE].
S. Pasterski, A. Strominger and A. Zhiboedov, New Gravitational Memories, JHEP 12 (2016) 053 [arXiv:1502.06120] [INSPIRE].
K.S. Thorne, Gravitational-wave bursts with memory: The Christodoulou effect, Phys. Rev. D 45 (1992) 520 [INSPIRE].
E.E. Flanagan and S.A. Hughes, The Basics of gravitational wave theory, New J. Phys. 7 (2005) 204 [gr-qc/0501041] [INSPIRE].
J.A. Valiente Kroon, Logarithmic Newman-Penrose constants for arbitrary polyhomogeneous space-times, Class. Quant. Grav. 16 (1999) 1653 [gr-qc/9812004] [INSPIRE].
G. Barnich and P.-H. Lambert, A Note on the Newman-Unti group and the BMS charge algebra in terms of Newman-Penrose coefficients, J. Phys. Conf. Ser. 410 (2013) 012142 [arXiv:1102.0589] [INSPIRE].
E.T. Newman and T.W.J. Unti, Behavior of Asymptotically Flat Empty Spaces, J. Math. Phys. 3 (1962) 891 [INSPIRE].
G. Compère, R. Oliveri and A. Seraj, Gravitational multipole moments from Noether charges, JHEP 05 (2018) 054 [arXiv:1711.08806] [INSPIRE].
H. Godazgar, M. Godazgar and C.N. Pope, Subleading BMS charges and fake news near null infinity, JHEP 01 (2019) 143 [arXiv:1809.09076] [INSPIRE].
H. Godazgar, M. Godazgar and C.N. Pope, New dual gravitational charges, Phys. Rev. D 99 (2019) 024013 [arXiv:1812.01641] [INSPIRE].
H. Godazgar, M. Godazgar and C.N. Pope, Tower of subleading dual BMS charges, JHEP 03 (2019) 057 [arXiv:1812.06935] [INSPIRE].
R.M. Wald and A. Zoupas, A General definition of ’conserved quantities’ in general relativity and other theories of gravity, Phys. Rev. D 61 (2000) 084027 [gr-qc/9911095] [INSPIRE].
G. Barnich and F. Brandt, Covariant theory of asymptotic symmetries, conservation laws and central charges, Nucl. Phys. B 633 (2002) 3 [hep-th/0111246] [INSPIRE].
F. Cachazo and A. Strominger, Evidence for a New Soft Graviton Theorem, arXiv:1404.4091 [INSPIRE].
H. Kawai, D.C. Lewellen and S.H.H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings, Nucl. Phys. B 269 (1986) 1 [INSPIRE].
S. He, Y.-t. Huang and C. Wen, Loop Corrections to Soft Theorems in Gauge Theories and Gravity, JHEP 12 (2014) 115 [arXiv:1405.1410] [INSPIRE].
Z.-W. Liu, Soft theorems in maximally supersymmetric theories, Eur. Phys. J. C 75 (2015) 105 [arXiv:1410.1616] [INSPIRE].
E. Conde and P. Mao, Remarks on asymptotic symmetries and the subleading soft photon theorem, Phys. Rev. D 95 (2017) 021701 [arXiv:1605.09731] [INSPIRE].
E.T. Newman and R. Penrose, Note on the Bondi-Metzner-Sachs group, J. Math. Phys. 7 (1966) 863 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2008.12109
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Mao, P. Remarks on infinite towers of gravitational memories. J. High Energ. Phys. 2020, 102 (2020). https://doi.org/10.1007/JHEP11(2020)102
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2020)102