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Self-force and motion of stars around black holes
A. Spallicci 1, S. Aoudia 2
(2009-09-30)

Through detection by low gravitational wave space interferometers, the capture of stars by supermassive black holes will constitute a giant step forward in the understanding of gravitation in strong field. The impact of the perturbations on the motion of the star is computed via the tail, the back-scattered part of the perturbations, or via a radiative Green function. In the former approach, the self-force acts upon the background geodesic, while in the latter, the geodesic is conceived in the total (background plus perturbations) field. Regularisations (mode-sum and Riemann-Hurwitz $\zeta$ function) intervene to cancel divergencies coming from the infinitesimal size of the particle. The non-adiabatic trajectories require the most sophisticated techniques for studying the evolution of the motion, like the self-consistent approach.
1:  Laboratoire de physique et chimie de l'environnement (LPCE)
CNRS : UMR6115 – INSU – Université d'Orléans
2:  Laboratoire Univers et Théories (LUTH)
CNRS : UMR8102 – INSU – Observatoire de Paris – Université Paris VII - Paris Diderot
Physics/General Relativity and Quantum Cosmology

Physics/Astrophysics/High Energy Astrophysical Phenomena

Sciences of the Universe/Astrophysics/High Energy Astrophysical Phenomena

Physics/High Energy Physics - Theory

Physics/Physics/History of Physics
Fulltext link: 
http://fr.arXiv.org/abs/0909.5558