Built on

E. Himwich, Z. Mirzaiyan, S. Pastreski, “A note on the subleading soft graviton”, arXiv:1902.01840
Original
1902
Earlier work this paper cites.
K. Islo, J. Simon, S. Burke-Spolaor, X. Siemens, “Prospects for Memory Detection with Low-Frequency Gravitational Wave Detectors”, arXiv:1906.11936 [astro-ph.HE]
Original
1906
Earlier work this paper cites.
H. Bart,“Gravitational memory in the bulk”, JHEP
Original
1908
Earlier work this paper cites.
H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner, “Gravitational waves in general relativity: 7. Waves from axisymmetric isolated systems”, Proc. Roy. Soc. Lond
1962
Earlier work this paper cites.
R. K. Sachs, “ Gravitational waves in general relativity: 8. Waves in asymptotically flat space-time”, Proc. Roy. Soc. Lond
1962
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons”, Phys. Rev
1965
Earlier work this paper cites.
E.T. Newman and R. Penrose, “ New conservation laws for zero rest mass fields in asymptotically flat space time”, Proc. Roy. Soc. Lond
1968
Earlier work this paper cites.
A. Zel’dovich, Y.B. Polnarev, “Radiation of gravitational waves by a cluster of superdense stars”, Astron. Zh
1974
Earlier work this paper cites.

Similar

V. B. Braginsky and K. S. Thorne, “Gravitational-wave bursts with memory and experimental prospects”, Nature
1987
Cited alongside, same era.
D. Christodoulou, “Nonlinear nature of gravitation and gravitational wave experiments”, Phys. Rev. Lett
1991
Cited alongside, same era.
K. S. Thorne, “Gravitational-wave bursts with memory: The Christodoulou effect”, Phys. Rev. D
1992
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Original
2008
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Then

P. D. Lasky, E. Thrane, Y. Levin, J. Blackman, and Y. Chen, “Detecting gravitational-wave memory with LIGO: implications of GW150914”, Phys. Rev. Lett
Original
2016
Later among the works it cites.
A. Strominger and A. Zhiboedov, “Gravitational Memory, BMS Supertranslations and Soft Theorems”, JHEP
Original
2016
Later among the works it cites.
S. Pastreski, A. Strominger and A. Zhiboedov, “New gravitational memories”, JHEP
Original
2016
Later among the works it cites.
S. W. Hawking, M. J. Perry, and A. Strominger, “Superrotation Charge and Supertranslation Hair on Black Holes”, JHEP
Original
2017
Later among the works it cites.
L. Donnay, G. Giribet, H. A. Gonzalez, and A. Puhm, “Black hole memory effect”, Phys. Rev. D

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2020

Subleading non linear gravitational memory effect

Mirzaiyan, Zahra

Understand

We apply the new method based on null geodesics for detecting gravitational memory and find the bulk memory in Newman-Unti gauge around the boundary of the conformally compactified space time.

We show how we use the newly found conserved charges in the subleading orders of large-$r$ expansion of the BMS charges to define the gravitational memory at each order in the non-linearised gravitational theory.
We also find the gravitational shift in the $r$ direction.
It is shown that the longitudinal displacement at order $1/r$ is the relative radius change between two detectors derived by Strominger and Zhiboedov.

Built on

E. Himwich, Z. Mirzaiyan, S. Pastreski, “A note on the subleading soft graviton”, arXiv:1902.01840
Original
1902
Earlier work this paper cites.
K. Islo, J. Simon, S. Burke-Spolaor, X. Siemens, “Prospects for Memory Detection with Low-Frequency Gravitational Wave Detectors”, arXiv:1906.11936 [astro-ph.HE]
Original
1906
Earlier work this paper cites.
H. Bart,“Gravitational memory in the bulk”, JHEP
Original
1908
Earlier work this paper cites.
H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner, “Gravitational waves in general relativity: 7. Waves from axisymmetric isolated systems”, Proc. Roy. Soc. Lond
1962
Earlier work this paper cites.
R. K. Sachs, “ Gravitational waves in general relativity: 8. Waves in asymptotically flat space-time”, Proc. Roy. Soc. Lond
1962
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons”, Phys. Rev
1965
Earlier work this paper cites.
E.T. Newman and R. Penrose, “ New conservation laws for zero rest mass fields in asymptotically flat space time”, Proc. Roy. Soc. Lond
1968
Earlier work this paper cites.
A. Zel’dovich, Y.B. Polnarev, “Radiation of gravitational waves by a cluster of superdense stars”, Astron. Zh
1974
Earlier work this paper cites.

Similar

V. B. Braginsky and K. S. Thorne, “Gravitational-wave bursts with memory and experimental prospects”, Nature
1987
Cited alongside, same era.
D. Christodoulou, “Nonlinear nature of gravitation and gravitational wave experiments”, Phys. Rev. Lett
1991
Cited alongside, same era.
K. S. Thorne, “Gravitational-wave bursts with memory: The Christodoulou effect”, Phys. Rev. D
1992
Cited alongside, same era.
P. Mao, “Remarks on infinite towers of gravitational memories”, arXiv:2008.12109
Original
2008
Cited alongside, same era.
M. Favata, “The gravitational-wave memory effect”, Class. Quant. Grav
Original
2010
Cited alongside, same era.