Gravitational self-force effect on eccentric orbits in Schwarzschild geometry

Norichika Sago

Research output: Contribution to conferencePaperpeer-review

Abstract

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.

Original languageEnglish
Pages327-330
Number of pages4
Publication statusPublished - Dec 1 2010
Externally publishedYes
Event20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan
Duration: Sep 21 2010Sep 25 2010

Other

Other20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010
CountryJapan
CityKyoto
Period9/21/109/25/10

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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