Reduction of the two-body dynamics to a one-body description in classical electrodynamics

Abstract

We discuss the mapping of the conservative part of two-body electrodynamics onto that of a test charged particle moving in some external electromagnetic field, taking into account recoil effects and relativistic corrections up to second post-Coulombian order. Unlike the results recently obtained in general relativity, we find that in classical electrodynamics it is not possible to implement the matching without introducing external parameters in the effective electromagnetic field. Relaxing the assumption that the effective test particle moves in a flat spacetime provides a feasible way out.

20 pages, revtex; minor changes

References in corpus (2)

• Transition from inspiral to plunge in binary black hole coalescences
• On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation

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