Built on

A. Addazi, M. Bianchi and G. Veneziano, “Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order,” JHEP 05
Original
1901
Earlier work this paper cites.
A. P. Saha, B. Sahoo and A. Sen, “Proof of the classical soft graviton theorem in D D = 4,” JHEP 06
Original
1912
Earlier work this paper cites.
Ya. B. Zeldovich and A. G. Polnarev, Sov. Astron. 18
1974
Earlier work this paper cites.
V. B. Braginsky and L. P. Grishchuk, “Kinematic Resonance and Memory Effect in Free Mass Gravitational Antennas,” Sov. Phys. JETP 62
1985
Earlier work this paper cites.
V. B. Braginsky, K. S. Thorne, “Gravitational-wave bursts with memory and experi- mental prospects,” Nature 327.6118
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, “Superstring Collisions at Planckian Energies,” Phys. Lett. B 197
Original
1987
Earlier work this paper cites.
M. Ludvigsen, “Geodesic Deviation At Null Infinity And The Physical Effects Of Very Long Wave Gravitational Radiation,” Gen. Rel. Grav. 21
1989
Earlier work this paper cites.

Similar

D. Christodoulou, “Nonlinear nature of gravitation and gravitational wave experiments,” Phys. Rev. Lett. 67
1991
Cited alongside, same era.
K. S. Thorne, “Gravitational-wave bursts with memory: The Christodoulou effect,” Phys. Rev. D 45
1992
Cited alongside, same era.
L. Blanchet and T. Damour, “Hereditary effects in gravitational radiation,” Phys. Rev. D 46
1992
Cited alongside, same era.
B. Sahoo, “Classical Sub-subleading Soft Photon and Soft Graviton Theorems in Four Spacetime Dimensions,” JHEP 12
Original
2008
Cited alongside, same era.
M. Favata, “The gravitational-wave memory effect,” Class. Quant. Grav. 27
Original
2010
Cited alongside, same era.

Then

A. Strominger and A. Zhiboedov, “Gravitational Memory, BMS Supertranslations and Soft Theorems,” JHEP 1601
Original
2016
Later among the works it cites.
A. Gruzinov and G. Veneziano, “Gravitational Radiation from Massless Particle Collisions,” Class. Quant. Grav. 33
Original
2016
Later among the works it cites.
A. Laddha and A. Sen, “Gravity Waves from Soft Theorem in General Dimensions,” JHEP 09
Original
2018
Later among the works it cites.
A. Laddha and A. Sen, “Observational Signature of the Logarithmic Terms in the Soft Graviton Theorem,” Phys. Rev. D 100
Original
2019
Later among the works it cites.
B. Sahoo and A. Sen, “Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions,” JHEP 02

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2021

Classical Soft Graviton Theorem Rewritten

Sahoo, Biswajit, Sen, Ashoke

Understand

Classical soft graviton theorem gives the gravitational wave-form at future null infinity at late retarded time $u$ for a general classical scattering.

The large $u$ expansion has three known universal terms: the constant term, the term proportional to $1/u$ and the term proportional to $\ln u/u^2$, whose coefficients are determined solely in terms of the momenta of incoming and the outgoing hard particles, including the momenta carried by outgoing gravitational and electromagnetic radiation produced during scattering.
For the constant term, also known as the memory effect, the dependence on the momenta carried away by the final state radiation / massless particles is known as non-linear memory or null memory.
It was shown earlier that for the coefficient of the $1/u$ term the dependence on the momenta of the final state massless particles / radiation cancels and the result can be written solely in terms of the momenta of the incoming particles / radiation and the final state massive particles.

Built on

A. Addazi, M. Bianchi and G. Veneziano, “Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order,” JHEP 05
Original
1901
Earlier work this paper cites.
A. P. Saha, B. Sahoo and A. Sen, “Proof of the classical soft graviton theorem in D D = 4,” JHEP 06
Original
1912
Earlier work this paper cites.
Ya. B. Zeldovich and A. G. Polnarev, Sov. Astron. 18
1974
Earlier work this paper cites.
V. B. Braginsky and L. P. Grishchuk, “Kinematic Resonance and Memory Effect in Free Mass Gravitational Antennas,” Sov. Phys. JETP 62
1985
Earlier work this paper cites.
V. B. Braginsky, K. S. Thorne, “Gravitational-wave bursts with memory and experi- mental prospects,” Nature 327.6118
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, “Superstring Collisions at Planckian Energies,” Phys. Lett. B 197
Original
1987
Earlier work this paper cites.
M. Ludvigsen, “Geodesic Deviation At Null Infinity And The Physical Effects Of Very Long Wave Gravitational Radiation,” Gen. Rel. Grav. 21
1989
Earlier work this paper cites.

Similar

D. Christodoulou, “Nonlinear nature of gravitation and gravitational wave experiments,” Phys. Rev. Lett. 67
1991
Cited alongside, same era.
K. S. Thorne, “Gravitational-wave bursts with memory: The Christodoulou effect,” Phys. Rev. D 45
1992
Cited alongside, same era.
L. Blanchet and T. Damour, “Hereditary effects in gravitational radiation,” Phys. Rev. D 46
1992
Cited alongside, same era.
B. Sahoo, “Classical Sub-subleading Soft Photon and Soft Graviton Theorems in Four Spacetime Dimensions,” JHEP 12
Original
2008
Cited alongside, same era.
M. Favata, “The gravitational-wave memory effect,” Class. Quant. Grav. 27
Original
2010
Cited alongside, same era.