### Abstract

The spin measurement of black holes has important implications in physics and astrophysics. Regardless of the specific technique to estimate the black hole spin, all the current approaches assume that the spacetime geometry around the compact object is exactly described by the Kerr solution. This is clearly an approximation, because the Kerr metric is a stationary solution of the vacuum Einstein equations. In this paper, we estimate the effect of a massive accretion disk in the measurement of the black hole spin with a simple analytical model. For typical accretion disks, the mass of the disk is completely negligible, even for future more accurate measurements. However, for systems with very massive disks the effect may not be ignored.

Original language | English |
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Article number | 127302 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 89 |

Issue number | 12 |

DOIs | |

Publication status | Published - Jun 25 2014 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*89*(12), [127302]. https://doi.org/10.1103/PhysRevD.89.127302

**Note on the effect of a massive accretion disk in the measurements of black hole spins.** / Bambi, Cosimo; Malafarina, Daniele; Tsukamoto, Naoki.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 89, no. 12, 127302. https://doi.org/10.1103/PhysRevD.89.127302

}

TY - JOUR

T1 - Note on the effect of a massive accretion disk in the measurements of black hole spins

AU - Bambi, Cosimo

AU - Malafarina, Daniele

AU - Tsukamoto, Naoki

PY - 2014/6/25

Y1 - 2014/6/25

N2 - The spin measurement of black holes has important implications in physics and astrophysics. Regardless of the specific technique to estimate the black hole spin, all the current approaches assume that the spacetime geometry around the compact object is exactly described by the Kerr solution. This is clearly an approximation, because the Kerr metric is a stationary solution of the vacuum Einstein equations. In this paper, we estimate the effect of a massive accretion disk in the measurement of the black hole spin with a simple analytical model. For typical accretion disks, the mass of the disk is completely negligible, even for future more accurate measurements. However, for systems with very massive disks the effect may not be ignored.

AB - The spin measurement of black holes has important implications in physics and astrophysics. Regardless of the specific technique to estimate the black hole spin, all the current approaches assume that the spacetime geometry around the compact object is exactly described by the Kerr solution. This is clearly an approximation, because the Kerr metric is a stationary solution of the vacuum Einstein equations. In this paper, we estimate the effect of a massive accretion disk in the measurement of the black hole spin with a simple analytical model. For typical accretion disks, the mass of the disk is completely negligible, even for future more accurate measurements. However, for systems with very massive disks the effect may not be ignored.

UR - http://www.scopus.com/inward/record.url?scp=84903733930&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84903733930&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.89.127302

DO - 10.1103/PhysRevD.89.127302

M3 - Article

VL - 89

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 12

M1 - 127302

ER -