Self-force driven motion in curved spacetime

Alessandro D. A. M. Spallicci (1) , Patxi Ritter (2, 1) , Sofiane Aoudia (3)

1 LPC2E - Laboratoire de Physique et Chimie de l'Environnement et de l'Espace
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
3 AEI - Max-Planck-Institut für Gravitationsphysik ( Albert-Einstein-Institut )

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.

Keywords: motion; general relativity

Domains: Sciences of the Universe [physics]

Alessandro D. A. M. Spallicci, Patxi Ritter, Sofiane Aoudia. Self-force driven motion in curved spacetime. International Journal of Geometric Methods in Modern Physics, 2014, 11 (8), pp.1450072. ⟨10.1142/S0219887814500728⟩. ⟨insu-01257754⟩