### Abstract

Gravitational waves from the coalescence of binary black holes carry away linear momentum, causing center of mass recoil. This "radiation rocket" effect has important implications for systems with escape speeds of order the recoil velocity. We revisit this problem using black hole perturbation theory, treating the binary as a test mass spiraling into a spinning hole. For extreme ratios (q ≡ m_{1}/m_{2} ≪ 1), we compute the recoil for the slow in-spiral epoch of binary coalescence very accurately; these results can be extrapolated to q ∼ 0.4 with modest accuracy. Although the recoil from the final plunge contributes significantly to the final recoil, we are only able to make crude estimates of its magnitude. We find that the recoil can easily reach ∼ 100-200 km s^{-1} but most likely does not exceed ∼500 km s^{-1}. Although much lower than previous estimates, this recoil is large enough to have important astrophysical consequences. These include the ejection of black holes from globular clusters, dwarf galaxies, and high-redshift dark matter halos.

Original language | English |
---|---|

Journal | Astrophysical Journal |

Volume | 607 |

Issue number | 1 II |

DOIs | |

State | Published - 20 May 2004 |

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### Keywords

- Black hole physics
- Galaxies: nuclei
- Gravitation
- Gravitational waves

### Cite this

*Astrophysical Journal*,

*607*(1 II). https://doi.org/10.1086/421552

}

*Astrophysical Journal*, vol. 607, no. 1 II. https://doi.org/10.1086/421552

**How black holes get their kicks : Gravitational radiation recoil revisited.** / Favata, Marc; Hughes, Scott A.; Holz, Daniel E.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - How black holes get their kicks

T2 - Gravitational radiation recoil revisited

AU - Favata, Marc

AU - Hughes, Scott A.

AU - Holz, Daniel E.

PY - 2004/5/20

Y1 - 2004/5/20

N2 - Gravitational waves from the coalescence of binary black holes carry away linear momentum, causing center of mass recoil. This "radiation rocket" effect has important implications for systems with escape speeds of order the recoil velocity. We revisit this problem using black hole perturbation theory, treating the binary as a test mass spiraling into a spinning hole. For extreme ratios (q ≡ m1/m2 ≪ 1), we compute the recoil for the slow in-spiral epoch of binary coalescence very accurately; these results can be extrapolated to q ∼ 0.4 with modest accuracy. Although the recoil from the final plunge contributes significantly to the final recoil, we are only able to make crude estimates of its magnitude. We find that the recoil can easily reach ∼ 100-200 km s-1 but most likely does not exceed ∼500 km s-1. Although much lower than previous estimates, this recoil is large enough to have important astrophysical consequences. These include the ejection of black holes from globular clusters, dwarf galaxies, and high-redshift dark matter halos.

AB - Gravitational waves from the coalescence of binary black holes carry away linear momentum, causing center of mass recoil. This "radiation rocket" effect has important implications for systems with escape speeds of order the recoil velocity. We revisit this problem using black hole perturbation theory, treating the binary as a test mass spiraling into a spinning hole. For extreme ratios (q ≡ m1/m2 ≪ 1), we compute the recoil for the slow in-spiral epoch of binary coalescence very accurately; these results can be extrapolated to q ∼ 0.4 with modest accuracy. Although the recoil from the final plunge contributes significantly to the final recoil, we are only able to make crude estimates of its magnitude. We find that the recoil can easily reach ∼ 100-200 km s-1 but most likely does not exceed ∼500 km s-1. Although much lower than previous estimates, this recoil is large enough to have important astrophysical consequences. These include the ejection of black holes from globular clusters, dwarf galaxies, and high-redshift dark matter halos.

KW - Black hole physics

KW - Galaxies: nuclei

KW - Gravitation

KW - Gravitational waves

UR - http://www.scopus.com/inward/record.url?scp=3042634203&partnerID=8YFLogxK

U2 - 10.1086/421552

DO - 10.1086/421552

M3 - Article

VL - 607

JO - Astrophysical Journal

JF - Astrophysical Journal

SN - 0004-637X

IS - 1 II

ER -