Self-force driven motion in curved spacetime

Abstract : We adopt the Dirac-Detweiler-Whiting radiative and regular effective field in curved spacetime. Thereby, we derive straightforwardly the first order perturbative correction to the geodesic of the background in a covariant form, for the extreme mass ratio two-body problem. The correction contains the self-force contribution and a background metric dependent term.
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Alessandro D. A. M. Spallicci, Patxi Ritter, Sofiane Aoudia. Self-force driven motion in curved spacetime. International Journal of Geometric Methods in Modern Physics, World Scientific Publishing, 2014, 11 (8), pp.1450072. ⟨10.1142/S0219887814500728⟩. ⟨insu-01257754⟩

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