Self-force driven motion in curved spacetimes

Spallicci, Alessandro D. A. M.; Ritter, P.; Aoudia, S.

doi:10.1142/S0219887814500728

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Self-force driven motion in curved spacetimes

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Aoudia, S.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Spallicci, A. D. A. M., Ritter, P., & Aoudia, S. (2014). Self-force driven motion in curved spacetimes. International Journal of Geometric Methods in Modern Physics, 11(8): 1450072. doi:10.1142/S0219887814500728.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0024-75C5-2

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.