We investigate the gravitational self-force effect on eccentric orbits in Schwarzschild spacetime. We derive the formulas of the post-geodesic corrections in some gaugeinvariant quantities (e.g. the fundamental frequencies) in terms of the metric perturbation and the self-force in the Lorenz gauge. With the derived formulas and the numerical data obtained by the self-force calculation code we developed recently, we evaluate these corrections numerically for some sets of orbital parameters. In the circular limit, we find a gauge-invariant relation between the conservative correction in the periapsis advance and the dimensionless gravitational potential. This relation is used to explore both weak-field and strong-field aspects of the Effective One Body formalism.
|出版ステータス||出版済み - 12 1 2010|
|イベント||20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, 日本|
継続期間: 9 21 2010 → 9 25 2010
|その他||20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010|
|Period||9/21/10 → 9/25/10|
All Science Journal Classification (ASJC) codes