### Abstract

We have investigated several properties of rapidly rotating dynamic black holes generated by the gravitational collapse of rotating relativistic stars. At present, numerical simulations of the binary black hole merger are able to produce a Kerr black hole of J_{final}/Mfinal2 up to =0.91, of gravitational collapse from uniformly rotating stars up to J_{final}/ Mfinal2≈0.75, where J_{final} is the total angular momentum and M_{final} the total gravitational mass of the hole. We have succeeded in producing a dynamic black hole of spin J_{final}/Mfinal2≈0.95 through the collapse of differentially rotating relativistic stars. We have investigated those dynamic properties through diagnosing multipole moment of the horizon, and found the following two features. First, two different definitions of the angular momentum of the hole, the approximated Killing vector approach and dipole moment of the current multipole approach, make no significant difference to our computational results. Second, dynamic hole approaches a Kerr by gravitational radiation within the order of a rotational period of an equilibrium star, although the dynamic hole at the very forming stage deviates quite far from a Kerr. We have also discussed a new phase of quasi-periodic waves in the gravitational waveform after the ringdown in terms of the multipole moment of the dynamic hole.

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

Article number | 124031 |

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

Volume | 83 |

Issue number | 12 |

DOIs | |

Publication status | Published - 2011 Jun 20 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Dynamic black holes through gravitational collapse : Analysis of the multipole moment of the curvatures on the horizon.** / Saijo, Motoyuki.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Dynamic black holes through gravitational collapse

T2 - Analysis of the multipole moment of the curvatures on the horizon

AU - Saijo, Motoyuki

PY - 2011/6/20

Y1 - 2011/6/20

N2 - We have investigated several properties of rapidly rotating dynamic black holes generated by the gravitational collapse of rotating relativistic stars. At present, numerical simulations of the binary black hole merger are able to produce a Kerr black hole of Jfinal/Mfinal2 up to =0.91, of gravitational collapse from uniformly rotating stars up to Jfinal/ Mfinal2≈0.75, where Jfinal is the total angular momentum and Mfinal the total gravitational mass of the hole. We have succeeded in producing a dynamic black hole of spin Jfinal/Mfinal2≈0.95 through the collapse of differentially rotating relativistic stars. We have investigated those dynamic properties through diagnosing multipole moment of the horizon, and found the following two features. First, two different definitions of the angular momentum of the hole, the approximated Killing vector approach and dipole moment of the current multipole approach, make no significant difference to our computational results. Second, dynamic hole approaches a Kerr by gravitational radiation within the order of a rotational period of an equilibrium star, although the dynamic hole at the very forming stage deviates quite far from a Kerr. We have also discussed a new phase of quasi-periodic waves in the gravitational waveform after the ringdown in terms of the multipole moment of the dynamic hole.

AB - We have investigated several properties of rapidly rotating dynamic black holes generated by the gravitational collapse of rotating relativistic stars. At present, numerical simulations of the binary black hole merger are able to produce a Kerr black hole of Jfinal/Mfinal2 up to =0.91, of gravitational collapse from uniformly rotating stars up to Jfinal/ Mfinal2≈0.75, where Jfinal is the total angular momentum and Mfinal the total gravitational mass of the hole. We have succeeded in producing a dynamic black hole of spin Jfinal/Mfinal2≈0.95 through the collapse of differentially rotating relativistic stars. We have investigated those dynamic properties through diagnosing multipole moment of the horizon, and found the following two features. First, two different definitions of the angular momentum of the hole, the approximated Killing vector approach and dipole moment of the current multipole approach, make no significant difference to our computational results. Second, dynamic hole approaches a Kerr by gravitational radiation within the order of a rotational period of an equilibrium star, although the dynamic hole at the very forming stage deviates quite far from a Kerr. We have also discussed a new phase of quasi-periodic waves in the gravitational waveform after the ringdown in terms of the multipole moment of the dynamic hole.

UR - http://www.scopus.com/inward/record.url?scp=79960781977&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevD.83.124031

DO - 10.1103/PhysRevD.83.124031

M3 - Article

VL - 83

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 12

M1 - 124031

ER -