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General Relativity and Quantum Cosmology, gr-qc
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.
