Gravitational self-force effect on eccentric orbits in Schwarzschild geometry

Research output: Contribution to conferencePaper

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

Fingerprint

eccentric orbits
geometry
gravitational fields
formalism
orbitals
perturbation

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Sago, N. (2010). Gravitational self-force effect on eccentric orbits in Schwarzschild geometry. 327-330. Paper presented at 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, Japan.

Gravitational self-force effect on eccentric orbits in Schwarzschild geometry. / Sago, Norichika.

2010. 327-330 Paper presented at 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, Japan.

Research output: Contribution to conferencePaper

Sago, N 2010, 'Gravitational self-force effect on eccentric orbits in Schwarzschild geometry', Paper presented at 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, Japan, 9/21/10 - 9/25/10 pp. 327-330.
Sago N. Gravitational self-force effect on eccentric orbits in Schwarzschild geometry. 2010. Paper presented at 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, Japan.
Sago, Norichika. / Gravitational self-force effect on eccentric orbits in Schwarzschild geometry. Paper presented at 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, Japan.4 p.
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