### 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 language | English |
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Pages | 327-330 |

Number of pages | 4 |

Publication status | Published - Dec 1 2010 |

Externally published | Yes |

Event | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan Duration: Sep 21 2010 → Sep 25 2010 |

### Other

Other | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 |
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Country | Japan |

City | Kyoto |

Period | 9/21/10 → 9/25/10 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

### Cite this

*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.

Research output: Contribution to conference › Paper

}

TY - CONF

T1 - Gravitational self-force effect on eccentric orbits in Schwarzschild geometry

AU - Sago, Norichika

PY - 2010/12/1

Y1 - 2010/12/1

N2 - 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.

AB - 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.

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UR - http://www.scopus.com/inward/citedby.url?scp=84887462552&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84887462552

SP - 327

EP - 330

ER -