Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order , Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
U. Hernandez Acosta and B. Kämpfer, Laser pulse-length effects in trident pair production , Plasma Phys. Control. Fusion 61
Original
1901
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems , 1903.12419
Original
1903
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , JHEP 12
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
H. W. Brinkmann, Einstein spapces which are mapped conformally on each other , Math. Ann. 94
1925
Earlier work this paper cites.
R. Penrose, A Remarkable property of plane waves in general relativity , Rev. Mod. Phys. 37
1965
Earlier work this paper cites.
W. B. Bonnor, The gravitational field of light , Commun. Math. Phys. 13
1969
Earlier work this paper cites.
G. W. Gibbons, Quantized Fields Propagating in Plane Wave Space-Times , Commun. Math. Phys. 45
1975
Earlier work this paper cites.
Reidel: Dordrecht, 1976
R. Penrose, Any geometry has a plane-wave limit , in Differential Geometry and Relativity (M. Cahen and M. Flato, eds.), p. 271 · 1976
Earlier work this paper cites.
V. I. Ritus, Quantum effects of the interaction of elementary particles with an intense electromagnetic field , Journal of Soviet Laser Research 6
1985
Earlier work this paper cites.
G. ’t Hooft, Graviton Dominance in Ultrahigh-Energy Scattering , Phys. Lett. B 198
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, Superstring Collisions at Planckian Energies , Phys. Lett. B 197
1987
Earlier work this paper cites.
R. Jackiw, D. N. Kabat and M. Ortiz, Electromagnetic fields of a massless particle and the eikonal , Phys. Lett. B 277
1992
Earlier work this paper cites.
D. N. Kabat and M. Ortiz, Eikonal quantum gravity and Planckian scattering , Nucl. Phys. B 388
1992
Earlier work this paper cites.
C. Cutler, D. Kennefick and E. Poisson, Gravitational radiation reaction for bound motion around a Schwarzschild black hole , Phys. Rev. D 50
1994
Earlier work this paper cites.
H. Balasin and H. Nachbagauer, The Ultrarelativistic Kerr geometry and its energy momentum tensor , Class. Quant. Grav. 12
1995
Earlier work this paper cites.
S. Y. Choi, J. S. Shim and H. S. Song, Factorization and polarization in linearized gravity , Phys. Rev. D 51
1995
Earlier work this paper cites.
Z. Bern, Perturbative quantum gravity and its relation to gauge theory , Living Rev. Rel. 5
2002
Earlier work this paper cites.
T. Adamo, L. Mason and A. Sharma, MHV scattering of gluons and gravitons in chiral strong fields , Phys. Rev. Lett. 125
Original
2003
Earlier work this paper cites.
S. B. Giddings and V. S. Rychkov, Black holes from colliding wavepackets , Phys. Rev. D 70
2004
Earlier work this paper cites.
T. Adamo and A. Ilderton, Classical and quantum double copy of back-reaction , JHEP 09
Original
2005
Earlier work this paper cites.
L. de la Cruz, B. Maybee, D. O’Connell and A. Ross, Classical Yang-Mills observables from amplitudes , JHEP 12
Original
2009
Earlier work this paper cites.
L. Barack, Gravitational self force in extreme mass-ratio inspirals , Class. Quant. Grav. 26
Original
2009
Earlier work this paper cites.
P. Lodone and V. S. Rychkov, Radiation Problem in Transplanckian Scattering , JHEP 12
Original
2009
Earlier work this paper cites.
M. Boca and V. Florescu, Nonlinear Compton scattering with a laser pulse , Phys. Rev. A 80
2009
Earlier work this paper cites.

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2022

All order gravitational waveforms from scattering amplitudes

Adamo, Tim, Cristofoli, Andrea, Ilderton, Anton et al.

Understand

Waveforms are classical observables associated with any radiative physical process.

Using scattering amplitudes, these are usually computed in a weak-field regime to some finite order in the post-Newtonian or post-Minkowskian approximation.
Here, we use strong field amplitudes to compute the waveform produced in scattering of massive particles on gravitational plane waves, treated as exact nonlinear solutions of the vacuum Einstein equations.
Notably, the waveform contains an infinite number of post-Minkowskian contributions, as well as tail effects.

Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order , Phys. Rev. Lett. 122
Original
1901
Earlier work this paper cites.
U. Hernandez Acosta and B. Kämpfer, Laser pulse-length effects in trident pair production , Plasma Phys. Control. Fusion 61
Original
1901
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems , 1903.12419
Original
1903
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , JHEP 12
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
H. W. Brinkmann, Einstein spapces which are mapped conformally on each other , Math. Ann. 94
1925
Earlier work this paper cites.
R. Penrose, A Remarkable property of plane waves in general relativity , Rev. Mod. Phys. 37
1965
Earlier work this paper cites.
W. B. Bonnor, The gravitational field of light , Commun. Math. Phys. 13
1969
Earlier work this paper cites.
G. W. Gibbons, Quantized Fields Propagating in Plane Wave Space-Times , Commun. Math. Phys. 45
1975
Earlier work this paper cites.
Reidel: Dordrecht, 1976
R. Penrose, Any geometry has a plane-wave limit , in Differential Geometry and Relativity (M. Cahen and M. Flato, eds.), p. 271 · 1976
Earlier work this paper cites.
V. I. Ritus, Quantum effects of the interaction of elementary particles with an intense electromagnetic field , Journal of Soviet Laser Research 6
1985
Earlier work this paper cites.
G. ’t Hooft, Graviton Dominance in Ultrahigh-Energy Scattering , Phys. Lett. B 198
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, Superstring Collisions at Planckian Energies , Phys. Lett. B 197
1987
Earlier work this paper cites.
R. Jackiw, D. N. Kabat and M. Ortiz, Electromagnetic fields of a massless particle and the eikonal , Phys. Lett. B 277
1992
Earlier work this paper cites.
D. N. Kabat and M. Ortiz, Eikonal quantum gravity and Planckian scattering , Nucl. Phys. B 388
1992
Earlier work this paper cites.
C. Cutler, D. Kennefick and E. Poisson, Gravitational radiation reaction for bound motion around a Schwarzschild black hole , Phys. Rev. D 50
1994
Earlier work this paper cites.
H. Balasin and H. Nachbagauer, The Ultrarelativistic Kerr geometry and its energy momentum tensor , Class. Quant. Grav. 12
1995
Earlier work this paper cites.
S. Y. Choi, J. S. Shim and H. S. Song, Factorization and polarization in linearized gravity , Phys. Rev. D 51
1995
Earlier work this paper cites.
Z. Bern, Perturbative quantum gravity and its relation to gauge theory , Living Rev. Rel. 5
2002
Earlier work this paper cites.
T. Adamo, L. Mason and A. Sharma, MHV scattering of gluons and gravitons in chiral strong fields , Phys. Rev. Lett. 125
Original
2003
Earlier work this paper cites.
S. B. Giddings and V. S. Rychkov, Black holes from colliding wavepackets , Phys. Rev. D 70
2004
Earlier work this paper cites.
T. Adamo and A. Ilderton, Classical and quantum double copy of back-reaction , JHEP 09
Original
2005
Earlier work this paper cites.
L. de la Cruz, B. Maybee, D. O’Connell and A. Ross, Classical Yang-Mills observables from amplitudes , JHEP 12
Original
2009
Earlier work this paper cites.
L. Barack, Gravitational self force in extreme mass-ratio inspirals , Class. Quant. Grav. 26
Original
2009
Earlier work this paper cites.
P. Lodone and V. S. Rychkov, Radiation Problem in Transplanckian Scattering , JHEP 12
Original
2009
Earlier work this paper cites.
M. Boca and V. Florescu, Nonlinear Compton scattering with a laser pulse , Phys. Rev. A 80
2009
Earlier work this paper cites.