### Abstract

We calculate the gravitational self force acting on a pointlike particle orbiting a Schwarzschild black hole. For this purpose, first, we solve the (1+1)-dim field equations for the Lorenz-gauge perturbations by using a time-domain code. Then we derive each multipole mode of the full force from the given perturbation. Finally, we apply the "mode sum" scheme to obtain the physical self force. We evaluate the correction to the orbital frequency due to the conservative self-force effect. We also show that the temporal component of the self force balances with the total energy flux of the gravitational-wave radiated to infinity and through the event horizon.

Original language | English |
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Title of host publication | Proceedings of the 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007 |

Pages | 224-227 |

Number of pages | 4 |

Publication status | Published - 2007 |

Externally published | Yes |

Event | 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007 - Nagoya, Japan Duration: Dec 3 2007 → Dec 7 2007 |

### Other

Other | 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007 |
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Country | Japan |

City | Nagoya |

Period | 12/3/07 → 12/7/07 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

### Cite this

*Proceedings of the 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007*(pp. 224-227)

**Gravitational self force on a particle in orbit around a schwarzschild black hole.** / Barack, Leor; Sago, Norichika.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007.*pp. 224-227, 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007, Nagoya, Japan, 12/3/07.

}

TY - GEN

T1 - Gravitational self force on a particle in orbit around a schwarzschild black hole

AU - Barack, Leor

AU - Sago, Norichika

PY - 2007

Y1 - 2007

N2 - We calculate the gravitational self force acting on a pointlike particle orbiting a Schwarzschild black hole. For this purpose, first, we solve the (1+1)-dim field equations for the Lorenz-gauge perturbations by using a time-domain code. Then we derive each multipole mode of the full force from the given perturbation. Finally, we apply the "mode sum" scheme to obtain the physical self force. We evaluate the correction to the orbital frequency due to the conservative self-force effect. We also show that the temporal component of the self force balances with the total energy flux of the gravitational-wave radiated to infinity and through the event horizon.

AB - We calculate the gravitational self force acting on a pointlike particle orbiting a Schwarzschild black hole. For this purpose, first, we solve the (1+1)-dim field equations for the Lorenz-gauge perturbations by using a time-domain code. Then we derive each multipole mode of the full force from the given perturbation. Finally, we apply the "mode sum" scheme to obtain the physical self force. We evaluate the correction to the orbital frequency due to the conservative self-force effect. We also show that the temporal component of the self force balances with the total energy flux of the gravitational-wave radiated to infinity and through the event horizon.

UR - http://www.scopus.com/inward/record.url?scp=84887372504&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887372504&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84887372504

SP - 224

EP - 227

BT - Proceedings of the 17th Workshop on General Relativity and Gravitation in Japan, JGRG 2007

ER -