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.
A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent and J. Vines, “Energetics of two-body Hamiltonians in post-Minkowskian gravity,” Phys. Rev. D 99
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,” [arXiv:1903.12419 [hep-th]]
Original
1903
Earlier work this paper cites.
A. Koemans Collado, P. Di Vecchia and R. Russo, “Revisiting the 2PM eikonal and the dynamics of binary black holes,” Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, “Post-Minkowskian Hamiltonians in general relativity,” Phys. Rev. D 100
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.
N. Arkani-Hamed, Y. t. Huang and D. O’Connell, “Kerr black holes as elementary particles,” JHEP 2001
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, “Observables and amplitudes for spinning particles and black holes,” JHEP 1912
Original
1906
Earlier work this paper cites.
H. Johansson and A. Ochirov, “Double copy for massive quantum particles with spin,” JHEP 09
Original
1906
Earlier work this paper cites.
J. Plefka, C. Shi, J. Steinhoff and T. Wang, “Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO,” Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C. H. Shen, M. P. Solon and M. Zeng, “Black Hole Binary Dynamics from the Double Copy and Effective Theory,” JHEP 1910
Original
1908
Earlier work this paper cites.
N. Bjerrum-Bohr, A. Cristofoli, P. H. Damgaard and H. Gomez, “Scalar-Graviton Amplitudes,” JHEP 11
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad and A. Helset, “Heavy Black Hole Effective Theory,” JHEP 1911
Original
1908
Earlier work this paper cites.
M. Z. Chung, Y. T. Huang and J. W. Kim, “Classical potential for general spinning bodies,” [arXiv:1908.08463 [hep-th]]
Original
1908
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, “On the Double Copy for Spinning Matter,” [arXiv:1908.11349 [hep-th]]
Original
1908
Earlier work this paper cites.
N. Siemonsen and J. Vines, “Test black holes, scattering amplitudes and perturbations of Kerr spacetime,” arXiv:1909.07361 [gr-qc]
Original
1909
Earlier work this paper cites.
N. Moynihan, “Kerr-Newman from Minimal Coupling,” JHEP 01
Original
1909
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, “The Duality Between Color and Kinematics and its Applications,” [arXiv:1909.01358 [hep-th]]
Original
1909
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli and P. H. Damgaard, “Post-Minkowskian Scattering Angle in Einstein Gravity,” arXiv:1910.09366 [hep-th]
Original
1910
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From Boundary Data to Bound States,” JHEP 01
Original
1910
Earlier work this paper cites.
J. J. M. Carrasco, L. Rodina, Z. Yin and S. Zekioglu, “Simple encoding of higher derivative gauge and gravity counterterms,” [arXiv:1910.12850 [hep-th]]
Original
1910
Earlier work this paper cites.
J. Blümlein, A. Maier, P. Marquard, G. Schäfer and C. Schneider, “From Momentum Expansions to Post-Minkowskian Hamiltonians by Computer Algebra Algorithms,” Phys. Lett. B 801
Original
1911
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist),” JHEP 02
Original
1911
Earlier work this paper cites.
M. Z. Chung, Y. T. Huang and J. W. Kim, “Kerr-Newman stress-tensor from minimal coupling to all orders in spin,” [arXiv:1911.12775 [hep-th]]
Original
1911
Earlier work this paper cites.
Y. T. Huang, U. Kol and D. O’Connell, “The Double Copy of Electric-Magnetic Duality,” [arXiv:1911.06318 [hep-th]]
Original
1911
Earlier work this paper cites.
J. Plefka, C. Shi and T. Wang, “Double copy of massive scalar QCD,” Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
T. Damour, “Classical and Quantum Scattering in Post-Minkowskian Gravity,” arXiv:1912.02139 [gr-qc]
Original
1912
Earlier work this paper cites.
W. D. Goldberger and J. Li, “Strings, extended objects, and the classical double copy,” JHEP 02
Original
1912
Earlier work this paper cites.
F. Pirani, “Invariant formulation of gravitational radiation theory,” Phys. Rev. 105
1957
Earlier work this paper cites.
E. Newman and A. Janis, J. Math. Phys. 6
1965
Earlier work this paper cites.
Bonnor, W. B., Commun. Math. Phys. 13 (1969) 163
1969
Earlier work this paper cites.

Similar

W. Bonnor, “Spinning null fluid in general relativity,” Int. J. Theor. Phys. 3
1970
Cited alongside, same era.
P. Aichelburg and R. Sexl, “On the Gravitational field of a massless particle,” Gen. Rel. Grav. 2
1971
Cited alongside, same era.
R. Penrose, General Relativity: papersin honour of J.L. Synge, ed. L. O’Raifeartaigh(Oxford, 1972)
1972
Cited alongside, same era.
M. Duff, Phys. Rev. D 7
1973
Cited alongside, same era.
P. D’Eath, “Perturbation methods for interactions between strongly self-gravitating systems,” Conf. Proc. C 7606286
1979
Cited alongside, same era.
T. Dray and G. ’t Hooft, “The Gravitational Shock Wave of a Massless Particle,” Nucl. Phys. B 253
1985
Cited alongside, same era.

Then

W. D. Goldberger and I. Z. Rothstein, “An Effective field theory of gravity for extended objects,” Phys. Rev. D 73
2006
Later among the works it cites.
G. U. Jakobsen, “Schwarzschild-Tangherlini Metric from Scattering Amplitudes,” [arXiv:2006.01734 [hep-th]]
Original
2006
Later among the works it cites.
Z. Bern, J. Carrasco and H. Johansson, “New Relations for Gauge-Theory Amplitudes,” Phys. Rev. D 78
Original
2008
Later among the works it cites.
T. Damour, Int. J. Mod. Phys. A 23
Original
2008
Later among the works it cites.
R. Emparan and H. S. Reall, “Black Holes in Higher Dimensions,” Living Rev. Rel. 11
Original
2008

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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Reading the bibliography…

2020

Gravitational shock waves and scattering amplitudes

Cristofoli, Andrea

Understand

We study gravitational shock waves using scattering amplitude techniques.

After first reviewing the derivation in General Relativity as an ultrarelativistic boost of a Schwarzschild solution, we provide an alternative derivation by exploiting a novel relation between scattering amplitudes and solutions to Einstein's field equations.
We prove that gravitational shock waves arise from the classical part of a three point function with two massless scalars and a graviton.
The region where radiation is localized has a distributional profile and it is now recovered in a natural way, thus bypassing the introduction of singular coordinate transformations as used in General Relativity.

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.
A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent and J. Vines, “Energetics of two-body Hamiltonians in post-Minkowskian gravity,” Phys. Rev. D 99
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,” [arXiv:1903.12419 [hep-th]]
Original
1903
Earlier work this paper cites.
A. Koemans Collado, P. Di Vecchia and R. Russo, “Revisiting the 2PM eikonal and the dynamics of binary black holes,” Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, “Post-Minkowskian Hamiltonians in general relativity,” Phys. Rev. D 100
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.
N. Arkani-Hamed, Y. t. Huang and D. O’Connell, “Kerr black holes as elementary particles,” JHEP 2001
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, “Observables and amplitudes for spinning particles and black holes,” JHEP 1912
Original
1906
Earlier work this paper cites.
H. Johansson and A. Ochirov, “Double copy for massive quantum particles with spin,” JHEP 09
Original
1906
Earlier work this paper cites.
J. Plefka, C. Shi, J. Steinhoff and T. Wang, “Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO,” Phys. Rev. D 100
Original
1906
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C. H. Shen, M. P. Solon and M. Zeng, “Black Hole Binary Dynamics from the Double Copy and Effective Theory,” JHEP 1910
Original
1908
Earlier work this paper cites.
N. Bjerrum-Bohr, A. Cristofoli, P. H. Damgaard and H. Gomez, “Scalar-Graviton Amplitudes,” JHEP 11
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad and A. Helset, “Heavy Black Hole Effective Theory,” JHEP 1911
Original
1908
Earlier work this paper cites.
M. Z. Chung, Y. T. Huang and J. W. Kim, “Classical potential for general spinning bodies,” [arXiv:1908.08463 [hep-th]]
Original
1908
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, “On the Double Copy for Spinning Matter,” [arXiv:1908.11349 [hep-th]]
Original
1908
Earlier work this paper cites.
N. Siemonsen and J. Vines, “Test black holes, scattering amplitudes and perturbations of Kerr spacetime,” arXiv:1909.07361 [gr-qc]
Original
1909
Earlier work this paper cites.
N. Moynihan, “Kerr-Newman from Minimal Coupling,” JHEP 01
Original
1909
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson and R. Roiban, “The Duality Between Color and Kinematics and its Applications,” [arXiv:1909.01358 [hep-th]]
Original
1909
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli and P. H. Damgaard, “Post-Minkowskian Scattering Angle in Einstein Gravity,” arXiv:1910.09366 [hep-th]
Original
1910
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From Boundary Data to Bound States,” JHEP 01
Original
1910
Earlier work this paper cites.
J. J. M. Carrasco, L. Rodina, Z. Yin and S. Zekioglu, “Simple encoding of higher derivative gauge and gravity counterterms,” [arXiv:1910.12850 [hep-th]]
Original
1910
Earlier work this paper cites.
J. Blümlein, A. Maier, P. Marquard, G. Schäfer and C. Schneider, “From Momentum Expansions to Post-Minkowskian Hamiltonians by Computer Algebra Algorithms,” Phys. Lett. B 801
Original
1911
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist),” JHEP 02
Original
1911
Earlier work this paper cites.
M. Z. Chung, Y. T. Huang and J. W. Kim, “Kerr-Newman stress-tensor from minimal coupling to all orders in spin,” [arXiv:1911.12775 [hep-th]]
Original
1911
Earlier work this paper cites.
Y. T. Huang, U. Kol and D. O’Connell, “The Double Copy of Electric-Magnetic Duality,” [arXiv:1911.06318 [hep-th]]
Original
1911
Earlier work this paper cites.
J. Plefka, C. Shi and T. Wang, “Double copy of massive scalar QCD,” Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
T. Damour, “Classical and Quantum Scattering in Post-Minkowskian Gravity,” arXiv:1912.02139 [gr-qc]
Original
1912
Earlier work this paper cites.
W. D. Goldberger and J. Li, “Strings, extended objects, and the classical double copy,” JHEP 02
Original
1912
Earlier work this paper cites.
F. Pirani, “Invariant formulation of gravitational radiation theory,” Phys. Rev. 105
1957
Earlier work this paper cites.
E. Newman and A. Janis, J. Math. Phys. 6
1965
Earlier work this paper cites.
Bonnor, W. B., Commun. Math. Phys. 13 (1969) 163
1969
Earlier work this paper cites.

Similar

W. Bonnor, “Spinning null fluid in general relativity,” Int. J. Theor. Phys. 3
1970
Cited alongside, same era.
P. Aichelburg and R. Sexl, “On the Gravitational field of a massless particle,” Gen. Rel. Grav. 2
1971
Cited alongside, same era.
R. Penrose, General Relativity: papersin honour of J.L. Synge, ed. L. O’Raifeartaigh(Oxford, 1972)
1972
Cited alongside, same era.
M. Duff, Phys. Rev. D 7
1973
Cited alongside, same era.
P. D’Eath, “Perturbation methods for interactions between strongly self-gravitating systems,” Conf. Proc. C 7606286
1979
Cited alongside, same era.
T. Dray and G. ’t Hooft, “The Gravitational Shock Wave of a Massless Particle,” Nucl. Phys. B 253
1985
Cited alongside, same era.

Then

W. D. Goldberger and I. Z. Rothstein, “An Effective field theory of gravity for extended objects,” Phys. Rev. D 73
2006
Later among the works it cites.
G. U. Jakobsen, “Schwarzschild-Tangherlini Metric from Scattering Amplitudes,” [arXiv:2006.01734 [hep-th]]
Original
2006
Later among the works it cites.
Z. Bern, J. Carrasco and H. Johansson, “New Relations for Gauge-Theory Amplitudes,” Phys. Rev. D 78
Original
2008
Later among the works it cites.
T. Damour, Int. J. Mod. Phys. A 23
Original
2008
Later among the works it cites.
R. Emparan and H. S. Reall, “Black Holes in Higher Dimensions,” Living Rev. Rel. 11
Original
2008

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

G. ’t Hooft, “Graviton Dominance in Ultrahigh-Energy Scattering,” Phys. Lett. B 198

1987

Cited alongside, same era.

D. Amati, M. Ciafaloni and G. Veneziano, “Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions,” Int. J. Mod. Phys. A 3

1988

Cited alongside, same era.

H. de Vega and N. G. Sanchez, “Particle Scattering at the Planck Scale and the Aichelburg-sexl Geometry,” Nucl. Phys. B 317

1989

Cited alongside, same era.

Valeria Ferrari, Paolo Pendenza, “Boosting the Kerr metric” Gen Relat Gravit 22, 1105–1117 (1990)

1990

Cited alongside, same era.

D. Amati, M. Ciafaloni and G. Veneziano, “Higher Order Gravitational Deflection and Soft Bremsstrahlung in Planckian Energy Superstring Collisions,” Nucl. Phys. B 347

1990

Cited alongside, same era.

D. N. Kabat and M. Ortiz, “Eikonal quantum gravity and Planckian scattering,” Nucl. Phys. B 388

1992

Cited alongside, same era.

Later among the works it cites.

D. Neill and I. Z. Rothstein, “Classical Space-Times from the S Matrix,” Nucl. Phys. B 877