Built on

S. Foffa and R. Sturani, Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach i: Regularized Lagrangian, Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
S. Foffa, R. Porto, I. Rothstein, and R. Sturani, Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach ii: Renormalized Lagrangian, Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
R. Sachs and P. Bergmann, Structure of particles in linearized gravitational theory, Phys. Rev. 112
1958
Earlier work this paper cites.
W. Bonnor, Spherical gravitational waves, Philos. Trans. R. Soc. London, Ser. A 251
1959
Earlier work this paper cites.
F. Pirani, Introduction to gravitational radiation theory, in Lectures on General Relativity , Brandeis Summer Institute in Theoretical Physics, Vol. 1, edited by A. Trautman, F. Pirani, and H. Bondi (Prentice-Hall, Englewood Cliffs, 1964) pp. 249–373
1964
Earlier work this paper cites.
A. Papapetrou, Coordonnées radiatives cartésiennes, Ann. Inst. Henri Poincaré A XI
1969
Earlier work this paper cites.
K. Thorne and S. Kovàcs, Generation of gravitational waves. i. weak-field sources, Astrophys. J. 200
1975
Earlier work this paper cites.
K. Thorne, Multipole expansions of gravitational radiation, Rev. Mod. Phys. 52
1980
Earlier work this paper cites.
I. Gradshteyn and I. Ryzhik, Table of Integrals, Series and Products (Academic Press, 1980)
1980
Earlier work this paper cites.
L. Blanchet and T. Damour, Radiative gravitational fields in general relativity. i. general structure of the field outside the source, Phil. Trans. Roy. Soc. Lond. A 320
1986
Earlier work this paper cites.
L. Blanchet, Radiative gravitational fields in general relativity. ii. asymptotic behaviour at future null infinity, Proc. Roy. Soc. Lond. A 409
1987
Earlier work this paper cites.
L. Blanchet and T. Damour, Tail-transported temporal correlations in the dynamics of a gravitating system, Phys. Rev. D 37
1988
Earlier work this paper cites.
L. Blanchet, Contribution à l’étude du rayonnement gravitationnel émis par un système isolé , Ph.D. thesis, Université Paris VI, Paris (1990)
1990
Earlier work this paper cites.
D. Christodoulou, Nonlinear nature of gravitation and gravitational-wave experiments, Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
A. Wiseman and C. Will, Christodoulou’s nonlinear gravitational-wave memory: Evaluation in the quadrupole approximation, Phys. Rev. D 44
1991
Earlier work this paper cites.
L. Blanchet and T. Damour, Hereditary effects in gravitational radiation, Phys. Rev. D 46
1992
Earlier work this paper cites.
K. Thorne, Gravitational-wave bursts with memory: The christodoulou effect, Phys. Rev. D 45
1992
Earlier work this paper cites.
E. Poisson, Gravitational-radiation from a particle in circular orbit around a black-hole. i. analytical results for the nonrotating case, Phys. Rev. D 47
1993
Earlier work this paper cites.

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A. Wiseman, Coalescing binary-systems of compact objects to (post) 5/2
1993
Cited alongside, same era.
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L. Blanchet and B. S. Sathyaprakash, Signal analysis of gravitational wave tails, Class. Quant. Grav. 11
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T. Marchand, Q. Henry, F. Larrouturou, S. Marsat, G. Faye, and L. Blanchet, The mass quadrupole moment of compact binary systems at the fourth post-Newtonian order, Class. Quant. Grav. 37
Original
2003
Cited alongside, same era.

Then

C. R. Galley, A. K. Leibovich, R. A. Porto, and A. Ross, Tail effect in gravitational radiation reaction: Time nonlocality and renormalization group evolution, Phys. Rev. D 93
Original
2016
Later among the works it cites.
T. Marchand, L. Blanchet, and G. Faye, Gravitational-wave tail effects to quartic non-linear order, Class. Quant. Grav. 33
Original
2016
Later among the works it cites.
P. D. Lasky, E. Thrane, Y. Levin, J. Blackman, and Y. Chen, Detecting gravitational-wave memory with LIGO: implications of GW150914, Phys. Rev. Lett. 117
Original
2016
Later among the works it cites.
R. A. Porto, The effective field theorist’s approach to gravitational dynamics, Phys. Rept. 633
Original
2016
Later among the works it cites.
L. Bernard, L. Blanchet, A. Bohé, G. Faye, and S. Marsat, Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation, Phys. Rev. D 93

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2023

Gravitational-wave tails of memory

Trestini, David, Blanchet, Luc

Understand

Gravitational-wave tails are linear waves that backscatter on the curvature of space-time generated by the total mass-energy of the source.

The non-linear memory effect arises from gravitational waves sourced by the stress-energy distribution of linear waves themselves.
These two effects are due to quadratic multipolar interactions (mass-quadrupole and quadrupole-quadrupole) and are well known.
Also known are the tails generated by tails themselves (cubic "tails-of-tails") and the tails generated by tails-of-tails or vice versa (quartic "tails-of-tails-of-tails").

Built on

S. Foffa and R. Sturani, Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach i: Regularized Lagrangian, Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
S. Foffa, R. Porto, I. Rothstein, and R. Sturani, Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach ii: Renormalized Lagrangian, Phys. Rev. D 100
Original
1903
Earlier work this paper cites.
R. Sachs and P. Bergmann, Structure of particles in linearized gravitational theory, Phys. Rev. 112
1958
Earlier work this paper cites.
W. Bonnor, Spherical gravitational waves, Philos. Trans. R. Soc. London, Ser. A 251
1959
Earlier work this paper cites.
F. Pirani, Introduction to gravitational radiation theory, in Lectures on General Relativity , Brandeis Summer Institute in Theoretical Physics, Vol. 1, edited by A. Trautman, F. Pirani, and H. Bondi (Prentice-Hall, Englewood Cliffs, 1964) pp. 249–373
1964
Earlier work this paper cites.
A. Papapetrou, Coordonnées radiatives cartésiennes, Ann. Inst. Henri Poincaré A XI
1969
Earlier work this paper cites.
K. Thorne and S. Kovàcs, Generation of gravitational waves. i. weak-field sources, Astrophys. J. 200
1975
Earlier work this paper cites.
K. Thorne, Multipole expansions of gravitational radiation, Rev. Mod. Phys. 52
1980
Earlier work this paper cites.
I. Gradshteyn and I. Ryzhik, Table of Integrals, Series and Products (Academic Press, 1980)
1980
Earlier work this paper cites.
L. Blanchet and T. Damour, Radiative gravitational fields in general relativity. i. general structure of the field outside the source, Phil. Trans. Roy. Soc. Lond. A 320
1986
Earlier work this paper cites.
L. Blanchet, Radiative gravitational fields in general relativity. ii. asymptotic behaviour at future null infinity, Proc. Roy. Soc. Lond. A 409
1987
Earlier work this paper cites.
L. Blanchet and T. Damour, Tail-transported temporal correlations in the dynamics of a gravitating system, Phys. Rev. D 37
1988
Earlier work this paper cites.
L. Blanchet, Contribution à l’étude du rayonnement gravitationnel émis par un système isolé , Ph.D. thesis, Université Paris VI, Paris (1990)
1990
Earlier work this paper cites.
D. Christodoulou, Nonlinear nature of gravitation and gravitational-wave experiments, Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
A. Wiseman and C. Will, Christodoulou’s nonlinear gravitational-wave memory: Evaluation in the quadrupole approximation, Phys. Rev. D 44
1991
Earlier work this paper cites.
L. Blanchet and T. Damour, Hereditary effects in gravitational radiation, Phys. Rev. D 46
1992
Earlier work this paper cites.
K. Thorne, Gravitational-wave bursts with memory: The christodoulou effect, Phys. Rev. D 45
1992
Earlier work this paper cites.
E. Poisson, Gravitational-radiation from a particle in circular orbit around a black-hole. i. analytical results for the nonrotating case, Phys. Rev. D 47
1993
Earlier work this paper cites.

Similar

A. Wiseman, Coalescing binary-systems of compact objects to (post) 5/2
1993
Cited alongside, same era.
L. Blanchet and G. Schäfer, Gravitational wave tails and binary star systems, Class. Quant. Grav. 10
1993
Cited alongside, same era.
L. Blanchet and B. S. Sathyaprakash, Signal analysis of gravitational wave tails, Class. Quant. Grav. 11
1994
Cited alongside, same era.
L. Blanchet and B. S. Sathyaprakash, Detecting the tail effect in gravitational wave experiments, Phys. Rev. Lett. 74
1995
Cited alongside, same era.
T. Marchand, Q. Henry, F. Larrouturou, S. Marsat, G. Faye, and L. Blanchet, The mass quadrupole moment of compact binary systems at the fourth post-Newtonian order, Class. Quant. Grav. 37
Original
2003
Cited alongside, same era.