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Résumé |
In this seminar, I will present the formalism we developed to solve analytically the Teukolsky equation and compute observables at first order in Self Force for the scattering problem, by combining a low-velocity (Post-Newtonian) and a large impact parameter (Post-Minkowskian) expansion. In particular, we generalize the usual techniques employed for studying bounded orbits, which presents a distinctive discrete frequency spectrum, in order to include the continuous Fourier spectrum of the unbound motion. Interestingly, this extension produces a rich mathematical structure on the non-local, logarithmic-in-frequency, sector.
I will briefly recap the application of these techniques on the scattering of a scalar charge, then I will present some preliminary results on the gravitational problem.
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