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
Original
1901
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
Original
1908
Earlier work this paper cites.
L. Barack, M. Colleoni, T. Damour, S. Isoyama, and N. Sago, “Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime,” Phys. Rev. D
Original
1909
Earlier work this paper cites.
G. Kälin and R. A. Porto, “From Boundary Data to Bound States,” JHEP
Original
1910
Earlier work this paper cites.
Y.-Z. Chu, K. Pasmatsiou, and G. D. Starkman, “Finite-size effects on the self-force,” Phys. Rev. D
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
Original
1911
Earlier work this paper cites.
T. Damour, “Classical and quantum scattering in post-Minkowskian gravity,” Phys. Rev. D
Original
1912
Earlier work this paper cites.
B. S. DeWitt and R. W. Brehme, “Radiation damping in a gravitational field,” Annals Phys
1960
Earlier work this paper cites.
C. M. DeWitt and B. S. DeWitt, “Falling charges,” Physics Physique Fizika
1964
Earlier work this paper cites.
K. Westpfahl and M. Goller, “Relativistic free-fall motion of a point charge in a weak gravitational field,” Lettere Al Nuovo Cimento (1971–1985)
1980
Earlier work this paper cites.
K. Westpfahl, “High-Speed Scattering of Charged and Uncharged Particles in General Relativity,” Fortsch. Phys
1985
Earlier work this paper cites.
Y. Mino, M. Sasaki, and T. Tanaka, “Gravitational radiation reaction to a particle motion,” Phys. Rev. D
1997
Earlier work this paper cites.
T. C. Quinn and R. M. Wald, “An Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved space-time,” Phys. Rev. D
1997
Earlier work this paper cites.
T. C. Quinn, “Axiomatic approach to radiation reaction of scalar point particles in curved space-time,” Phys. Rev. D
2000
Earlier work this paper cites.

Similar

M. J. Pfenning and E. Poisson, “Scalar, electromagnetic, and gravitational selfforces in weakly curved space-times,” Phys. Rev. D
2002
Cited alongside, same era.
S. L. Detweiler and E. Poisson, “Low multipole contributions to the gravitational selfforce,” Phys. Rev. D
2004
Cited alongside, same era.
G. Kälin and R. A. Porto, “Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics,” JHEP
Original
2006
Cited alongside, same era.
G. Kälin, Z. Liu, and R. A. Porto, “Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach,” Phys. Rev. Lett
Original
2007
Cited alongside, same era.
P. Di Vecchia, C. Heissenberg, R. Russo, and G. Veneziano, “Universality of ultra-relativistic gravitational scattering,” Phys. Lett. B
Original

Then

S. Isoyama and E. Poisson, “Self-force as probe of internal structure,” Class. Quant. Grav
Original
2012
Later among the works it cites.
T. Damour, “Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory,” Phys. Rev. D
Original
2016
Later among the works it cites.
T. Damour, “High-energy gravitational scattering and the general relativistic two-body problem,” Phys. Rev. D
Original
2018
Later among the works it cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, G. Festuccia, L. Planté, and P. Vanhove, “General Relativity from Scattering Amplitudes,” Phys. Rev. Lett
Original
2018
Later among the works it cites.
C. Cheung, I. Z. Rothstein, and M. P. Solon, “From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion,” Phys. Rev. Lett

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2021

Self-force effects in post-Minkowskian scattering

Gralla, Samuel E., Lobo, Kunal

Understand

We revisit the old problem of the self-force on a particle moving in a weak-field spacetime in the context of renewed interest in two-body gravitational scattering.

We analytically calculate the scalar, electromagnetic, and gravitational self-force on a particle moving on a straight-line trajectory at a large distance from a Newtonian star, and use these results to find the associated correction to its motion.
In the gravitational case we must also include the matter-mediated force, which acts at the same perturbative order as the gravitational self-force.
We further augment the gravitational results with geodesic calculations at second order in the central body mass to determine the full, explicit solution to the two-body gravitational scattering problem at second post-Minkowskian order (2PM).