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2021

Electromagnetic Scoot

Gralla, Samuel E., Lobo, Kunal

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Recent work on scattering of massive bodies in general relativity has revealed that the mechanical center of mass of the system (or, more precisely, its relativistic mass moment) undergoes a shift during the scattering process.

We show that the same phenomenon occurs in classical scattering of charged particles in flat spacetime and study the effect in detail.
Working to leading order in the interaction, we derive formulas for the initial and final values of the mechanical and electromagnetic energy, momentum, angular momentum, and mass moment.
We demonstrate that the change in mechanical mass moment is balanced by an opposite change in the mass moment stored in the electromagnetic field.

Electromagnetic Scoot · Around

Built on

W. H. Freeman, San Francisco, 1973
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation · 1973
Earlier work this paper cites.
M. Portilla, “SCATTERING OF TWO GRAVITATING PARTICLES: CLASSICAL APPROACH,” J. Phys. A
1980
Earlier work this paper cites.

Similar

K. Westpfahl, “High-Speed Scattering of Charged and Uncharged Particles in General Relativity,” Fortsch. Phys
1985
Cited alongside, same era.
S. E. Gralla, A. I. Harte, and R. M. Wald, “A Rigorous Derivation of Electromagnetic Self-force,” Phys. Rev. D
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2009
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C. Dlapa, G. Kälin, Z. Liu, and R. A. Porto, “Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach,” arXiv:2106.08276 [hep-th]
Original
Cited in the paper.
Z. Bern, J. Parra-Martinez, R. Roiban, M. S. Ruf, C.-H. Shen, M. P. Solon, and M. Zeng, “Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at O ⁡ ( G 4 ) O(G^{4}) ,” arXiv:2112.10750 [hep-th]
Original
Cited in the paper.
C. Dlapa, G. Kälin, Z. Liu, and R. A. Porto, “Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion,” arXiv:2112.11296 [hep-th]
Original
Cited in the paper.
S. E. Gralla and K. Lobo, “Self-force effects in post-Minkowskian scattering,” arXiv:2110.08681 [gr-qc]
Original
Cited in the paper.
S. E. Gralla and K. Lobo, “Gravitational Scoot,” in prep
Cited in the paper.
E. Poisson, “An Introduction to the Lorentz-Dirac equation,” arXiv:gr-qc/9912045
Cited in the paper.

Then

Z. Bern, J. Parra-Martinez, R. Roiban, M. S. Ruf, C.-H. Shen, M. P. Solon, and M. Zeng, “Scattering Amplitudes and Conservative Binary Dynamics at 𝒪 ⁡ ( G 4 ) {\cal O}(G^{4}) ,” Phys. Rev. Lett
Original
2021
Closest in time.
M. V. S. Saketh, J. Vines, J. Steinhoff, and A. Buonanno, “Conservative and radiative dynamics in classical relativistic scattering and bound systems,” Phys. Rev. Res
Original
2022
Closest in time.

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