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.
https://hal-insu.archives-ouvertes.fr/insu-01257754
Contributor : Nathalie Pothier
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Submitted on : Tuesday, January 19, 2016 - 9:44:27 AM
Last modification on : Thursday, July 25, 2019 - 4:16:02 PM
Long-term archiving on : Friday, November 11, 2016 - 9:24:06 AM
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⟩
