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.
S. Foffa, R. A. 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.
A. Koemans Collado, P. Di Vecchia and R. Russo, “Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes,” Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
S. Foffa and R. Sturani, “Hereditary terms at next-to-leading order in two-body gravitational dynamics,” Phys. Rev. D 101
Original
1907
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 10
Original
1908
Earlier work this paper cites.
D. Bini, T. Damour and A. Geralico, “Novel approach to binary dynamics: application to the fifth post-Newtonian level,” Phys. Rev. Lett. 123
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,” JHEP 08
Original
1910
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.
P. Di Vecchia, S. G. Naculich, R. Russo, G. Veneziano and C. D. White, “A tale of two exponentiations in 𝒩 \mathcal{N} = 8 supergravity at subleading level,” JHEP 03
Original
1911
Earlier work this paper cites.
T. Damour, “Classical and quantum scattering in post-Minkowskian gravity,” Phys. Rev. D 102
Original
1912
Earlier work this paper cites.
A. D. Fokker, “Ein invarianter Variationssatz für die Bewegung mehrerer elektrischer Massenteilchen,” Z. Phys. 58
1929
Earlier work this paper cites.
P. A. M. Dirac, “Classical theory of radiating electrons,” Proc. Roy. Soc. Lond. A 167
1938
Earlier work this paper cites.
J. A. Wheeler and R. P. Feynman, “Classical electrodynamics in terms of direct interparticle action,” Rev. Mod. Phys. 21
1949
Earlier work this paper cites.
S. Chandrasekhar and F. P. Esposito, “The 2?-post-Newtonian Equations of Hydrodynamics and Radiation Reaction in General Relativity ” Astrophysical Journal, 160
1970
Earlier work this paper cites.
W. L. Burke, “Gravitational radiation damping of slowly moving systems calculated using matched asymptotic expansions,” J. Math. Phys. 12
1971
Earlier work this paper cites.
S. J. Kovacs and K. S. Thorne, “The Generation of Gravitational Waves. 3. Derivation of Bremsstrahlung Formulas,” Astrophys. J. 217
1977
Earlier work this paper cites.
S. J. Kovacs and K. S. Thorne, “The Generation of Gravitational Waves. 4. Bremsstrahlung,” Astrophys. J. 224
1978
Earlier work this paper cites.
K. Westpfahl and M. Goller, “Gravitational scattering of two relativistic particles in postlinear approximation,” Lett. Nuovo Cim. 26
1979
Earlier work this paper cites.
K. S. Thorne, “Multipole Expansions of Gravitational Radiation,” Rev. Mod. Phys. 52
1980
Earlier work this paper cites.
L. Bel, T. Damour, N. Deruelle, J. Ibanez and J. Martin, “Poincaré-invariant gravitational field and equations of motion of two pointlike objects: The postlinear approximation of general relativity,” Gen. Rel. Grav. 13
1981
Earlier work this paper cites.
T. Damour and N. Deruelle, “Radiation Reaction and Angular Momentum Loss in Small Angle Gravitational Scattering,” Phys. Lett. A 87
1981
Earlier work this paper cites.
T. Damour, “Gravitational radiation and the motion of compact bodies,” in Gravitational Radiation
1983
Earlier work this paper cites.
T. Damour, “Gravitational radiation reaction in the binary pulsar and the quadrupole formula controversy,” Phys. Rev. Lett. 51
1983
Earlier work this paper cites.
K. Westpfahl, “High-Speed Scattering of Charged and Uncharged Particles in General Relativity,” Fortschr. Physik 33
1985
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 and T. Damour, “Tail Transported Temporal Correlations in the Dynamics of a Gravitating System,” Phys. Rev. D 37
1988
Earlier work this paper cites.
T. Damour and G. Schäfer, “Higher Order Relativistic Periastron Advances and Binary Pulsars,” Nuovo Cim. B 101
1988
Earlier work this paper cites.
L. Blanchet and T. Damour, “Postnewtonian Generation of Gravitational Waves,” Ann. Inst. H. Poincaré Phys. Théor. 50
1989
Earlier work this paper cites.

Similar

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.
L. Blanchet and G. Schaefer, “Higher order gravitational radiation losses in binary systems,” Mon. Not. Roy. Astron. Soc. 239
1990
Cited alongside, same era.
T. Damour and G. Schäfer, “Redefinition of position variables and the reduction of higher order Lagrangians,” J. Math. Phys. 32
1991
Cited alongside, same era.
T. Damour and B. R. Iyer, “PostNewtonian generation of gravitational waves. 2. The Spin moments,” Ann. Inst. H. Poincaré Phys. Théor. 54
1991
Cited alongside, same era.
W. Junker and G. Schäfer, “Binary systems: higher order gravitational radiation damping and wave emission,” Mon. Not. Roy. Astron. Soc. 254
1992
Cited alongside, same era.

Then

K. G. Arun, L. Blanchet, B. R. Iyer and M. S. S. Qusailah, “Tail effects in the 3PN gravitational wave energy flux of compact binaries in quasi-elliptical orbits,” Phys. Rev. D 77
Original
2008
Later among the works it cites.
G. Mogull, J. Plefka and J. Steinhoff, “Classical black hole scattering from a worldline quantum field theory,” JHEP 02
Original
2010
Later among the works it cites.
T. Damour, “Radiative contribution to classical gravitational scattering at the third order in G G ,” Phys. Rev. D 102
Original
2010
Later among the works it cites.
J. Blümlein, A. Maier, P. Marquard and G. Schäfer, “The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions,” Nucl. Phys. B 965
Original
2010
Later among the works it cites.

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Reading the bibliography…

2021

Radiative contributions to gravitational scattering

Bini, Donato, Damour, Thibault, Geralico, Andrea

Understand

The linear-order effects of radiation-reaction on the classical scattering of two point masses, in General Relativity, are derived by a variation-of-constants method.

Explicit expressions for the radiation-reaction contributions to the changes of 4-momentum during scattering are given to linear order in the radiative losses of energy, linear-momentum and angular momentum.
The polynomial dependence on the masses of the 4-momentum changes is shown to lead to non-trivial identities relating the various radiative losses.
At order $G^3$ our results lead to a streamlined classical derivation of results recently derived within a quantum approach.

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.
S. Foffa, R. A. 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.
A. Koemans Collado, P. Di Vecchia and R. Russo, “Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes,” Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
S. Foffa and R. Sturani, “Hereditary terms at next-to-leading order in two-body gravitational dynamics,” Phys. Rev. D 101
Original
1907
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 10
Original
1908
Earlier work this paper cites.
D. Bini, T. Damour and A. Geralico, “Novel approach to binary dynamics: application to the fifth post-Newtonian level,” Phys. Rev. Lett. 123
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,” JHEP 08
Original
1910
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.
P. Di Vecchia, S. G. Naculich, R. Russo, G. Veneziano and C. D. White, “A tale of two exponentiations in 𝒩 \mathcal{N} = 8 supergravity at subleading level,” JHEP 03
Original
1911
Earlier work this paper cites.
T. Damour, “Classical and quantum scattering in post-Minkowskian gravity,” Phys. Rev. D 102
Original
1912
Earlier work this paper cites.
A. D. Fokker, “Ein invarianter Variationssatz für die Bewegung mehrerer elektrischer Massenteilchen,” Z. Phys. 58
1929
Earlier work this paper cites.
P. A. M. Dirac, “Classical theory of radiating electrons,” Proc. Roy. Soc. Lond. A 167
1938
Earlier work this paper cites.
J. A. Wheeler and R. P. Feynman, “Classical electrodynamics in terms of direct interparticle action,” Rev. Mod. Phys. 21
1949
Earlier work this paper cites.
S. Chandrasekhar and F. P. Esposito, “The 2?-post-Newtonian Equations of Hydrodynamics and Radiation Reaction in General Relativity ” Astrophysical Journal, 160
1970
Earlier work this paper cites.
W. L. Burke, “Gravitational radiation damping of slowly moving systems calculated using matched asymptotic expansions,” J. Math. Phys. 12
1971
Earlier work this paper cites.
S. J. Kovacs and K. S. Thorne, “The Generation of Gravitational Waves. 3. Derivation of Bremsstrahlung Formulas,” Astrophys. J. 217
1977
Earlier work this paper cites.
S. J. Kovacs and K. S. Thorne, “The Generation of Gravitational Waves. 4. Bremsstrahlung,” Astrophys. J. 224
1978
Earlier work this paper cites.
K. Westpfahl and M. Goller, “Gravitational scattering of two relativistic particles in postlinear approximation,” Lett. Nuovo Cim. 26
1979
Earlier work this paper cites.
K. S. Thorne, “Multipole Expansions of Gravitational Radiation,” Rev. Mod. Phys. 52
1980
Earlier work this paper cites.
L. Bel, T. Damour, N. Deruelle, J. Ibanez and J. Martin, “Poincaré-invariant gravitational field and equations of motion of two pointlike objects: The postlinear approximation of general relativity,” Gen. Rel. Grav. 13
1981
Earlier work this paper cites.
T. Damour and N. Deruelle, “Radiation Reaction and Angular Momentum Loss in Small Angle Gravitational Scattering,” Phys. Lett. A 87
1981
Earlier work this paper cites.
T. Damour, “Gravitational radiation and the motion of compact bodies,” in Gravitational Radiation
1983
Earlier work this paper cites.
T. Damour, “Gravitational radiation reaction in the binary pulsar and the quadrupole formula controversy,” Phys. Rev. Lett. 51
1983
Earlier work this paper cites.
K. Westpfahl, “High-Speed Scattering of Charged and Uncharged Particles in General Relativity,” Fortschr. Physik 33
1985
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 and T. Damour, “Tail Transported Temporal Correlations in the Dynamics of a Gravitating System,” Phys. Rev. D 37
1988
Earlier work this paper cites.
T. Damour and G. Schäfer, “Higher Order Relativistic Periastron Advances and Binary Pulsars,” Nuovo Cim. B 101
1988
Earlier work this paper cites.
L. Blanchet and T. Damour, “Postnewtonian Generation of Gravitational Waves,” Ann. Inst. H. Poincaré Phys. Théor. 50
1989
Earlier work this paper cites.

Similar

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.
L. Blanchet and G. Schaefer, “Higher order gravitational radiation losses in binary systems,” Mon. Not. Roy. Astron. Soc. 239
1990
Cited alongside, same era.
T. Damour and G. Schäfer, “Redefinition of position variables and the reduction of higher order Lagrangians,” J. Math. Phys. 32
1991
Cited alongside, same era.
T. Damour and B. R. Iyer, “PostNewtonian generation of gravitational waves. 2. The Spin moments,” Ann. Inst. H. Poincaré Phys. Théor. 54
1991
Cited alongside, same era.
W. Junker and G. Schäfer, “Binary systems: higher order gravitational radiation damping and wave emission,” Mon. Not. Roy. Astron. Soc. 254
1992
Cited alongside, same era.

Then

K. G. Arun, L. Blanchet, B. R. Iyer and M. S. S. Qusailah, “Tail effects in the 3PN gravitational wave energy flux of compact binaries in quasi-elliptical orbits,” Phys. Rev. D 77
Original
2008
Later among the works it cites.
G. Mogull, J. Plefka and J. Steinhoff, “Classical black hole scattering from a worldline quantum field theory,” JHEP 02
Original
2010
Later among the works it cites.
T. Damour, “Radiative contribution to classical gravitational scattering at the third order in G G ,” Phys. Rev. D 102
Original
2010
Later among the works it cites.
J. Blümlein, A. Maier, P. Marquard and G. Schäfer, “The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions,” Nucl. Phys. B 965
Original
2010
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

L. Blanchet and G. Schaefer, “Gravitational wave tails and binary star systems,” Class. Quant. Grav. 10

1993

Cited alongside, same era.

L. Blanchet, T. Damour and B. R. Iyer, “Gravitational waves from inspiralling compact binaries: Energy loss and wave form to second postNewtonian order,” Phys. Rev. D 51

1996

Cited alongside, same era.

P. Jaranowski and G. Schaefer, “Radiative 3.5 postNewtonian ADM Hamiltonian for many body point - mass systems,” Phys. Rev. D 55

1997

Cited alongside, same era.

M. Beneke and V. A. Smirnov, “Asymptotic expansion of Feynman integrals near threshold,” Nucl. Phys. B 522

1998

Cited alongside, same era.

L. Blanchet, “On the multipole expansion of the gravitational field,” Class. Quant. Grav. 15

1998

Cited alongside, same era.

A. Buonanno and T. Damour, “Gravitational, dilatonic and axionic radiative damping of cosmic strings,” Phys. Rev. D 60

1999

Cited alongside, same era.

A. Buonanno and T. Damour, “Transition from inspiral to plunge in binary black hole coalescences,” Phys. Rev. D 62

2000

Cited alongside, same era.

T. J. Rothe and G. Schäfer, “Binary spinning black hole Hamiltonian in canonical center-of-mass and rest-frame coordinates through higher post-Newtonian order,” J. Math. Phys. 51