### Abstract

We consider the effects of the gravitational self-force on a point mass moving in a generic (eccentric) orbit around a Schwarzschild black hole. We developed a numerical code to solve the metric perturbation equations in the time domain, under the Lorenz gauge condition, and to implement the so-called 'mode sum' scheme to obtain the self-force. We use our numerical results to investigate both dissipative and conservative self-force effects on the particle's orbits. To check the consistency of our calculation, we (1) compare our results with independent calculations based on a different gauge, in the special case of a circular orbit (by considering gauge-invariant quantities); (2) derive the energy and angular momentum fluxes of emitted gravitational waves and compare with results from standard Teukolsky-based calculations.

Original language | English |
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Article number | 094025 |

Journal | Classical and Quantum Gravity |

Volume | 26 |

Issue number | 9 |

DOIs | |

Publication status | Published - May 7 2009 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### Cite this

**Gravitational self-force effects on a point mass moving around a Schwarzschild black hole.** / Sago, Norichika.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Gravitational self-force effects on a point mass moving around a Schwarzschild black hole

AU - Sago, Norichika

PY - 2009/5/7

Y1 - 2009/5/7

N2 - We consider the effects of the gravitational self-force on a point mass moving in a generic (eccentric) orbit around a Schwarzschild black hole. We developed a numerical code to solve the metric perturbation equations in the time domain, under the Lorenz gauge condition, and to implement the so-called 'mode sum' scheme to obtain the self-force. We use our numerical results to investigate both dissipative and conservative self-force effects on the particle's orbits. To check the consistency of our calculation, we (1) compare our results with independent calculations based on a different gauge, in the special case of a circular orbit (by considering gauge-invariant quantities); (2) derive the energy and angular momentum fluxes of emitted gravitational waves and compare with results from standard Teukolsky-based calculations.

AB - We consider the effects of the gravitational self-force on a point mass moving in a generic (eccentric) orbit around a Schwarzschild black hole. We developed a numerical code to solve the metric perturbation equations in the time domain, under the Lorenz gauge condition, and to implement the so-called 'mode sum' scheme to obtain the self-force. We use our numerical results to investigate both dissipative and conservative self-force effects on the particle's orbits. To check the consistency of our calculation, we (1) compare our results with independent calculations based on a different gauge, in the special case of a circular orbit (by considering gauge-invariant quantities); (2) derive the energy and angular momentum fluxes of emitted gravitational waves and compare with results from standard Teukolsky-based calculations.

UR - http://www.scopus.com/inward/record.url?scp=77955143058&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77955143058&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/26/9/094025

DO - 10.1088/0264-9381/26/9/094025

M3 - Article

AN - SCOPUS:77955143058

VL - 26

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 9

M1 - 094025

ER -