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Self-force driven motion in curved spacetimes

May 15, 2014

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.