Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy

Research output: Contribution to journal › Journal article › Research › peer-review

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Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy. / Zhang, Zhongyang; Berti, Emanuele; Cardoso, Vitor.

In: Physical Review D, Vol. 88, No. 4, 044018, 08.08.2013.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Zhang, Z, Berti, E & Cardoso, V 2013, 'Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy', Physical Review D, vol. 88, no. 4, 044018. https://doi.org/10.1103/PhysRevD.88.044018

APA

Zhang, Z., Berti, E., & Cardoso, V. (2013). Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy. Physical Review D, 88(4), [044018]. https://doi.org/10.1103/PhysRevD.88.044018

Vancouver

Zhang Z, Berti E, Cardoso V. Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy. Physical Review D. 2013 Aug 8;88(4). 044018. https://doi.org/10.1103/PhysRevD.88.044018

Author

Zhang, Zhongyang ; Berti, Emanuele ; Cardoso, Vitor. / Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy. In: Physical Review D. 2013 ; Vol. 88, No. 4.

Bibtex

@article{0b2cde62745e4845bfbd71ce6f78f25f,
title = "Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy",
abstract = "The analytical understanding of quasinormal mode ringing requires an accurate knowledge of the Green's function describing the response of the black hole to external perturbations. We carry out a comprehensive study of quasinormal mode excitation for Kerr black holes. Relying on the formalism developed by Mano, Suzuki, and Takasugi, we improve and extend previous calculations of the quasinormal mode residues in the complex frequency plane ({"}excitation factors B-q''). Using these results we compute the {"}excitation coefficients'' C-q (essentially the mode amplitudes) in the special case where the source of the perturbations is a particle falling into the black hole along the symmetry axis. We compare this calculation with numerical integrations of the perturbation equations, and we show quantitatively how the addition of higher overtones improves the agreement with the numerical waveforms. Our results should find applications in models of the ringdown stage and in the construction of semianalytical template banks for gravitational-wave detectors, especially for binaries with large mass ratios and/or fast-spinning black holes.",
keywords = "GRAVITATIONAL-RADIATION, ANALYTIC SOLUTIONS, TEUKOLSKY EQUATION, NORMAL MODES, PERTURBATIONS, COLLISIONS, FIELD",
author = "Zhongyang Zhang and Emanuele Berti and Vitor Cardoso",
year = "2013",
month = aug,
day = "8",
doi = "10.1103/PhysRevD.88.044018",
language = "English",
volume = "88",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy

AU - Zhang, Zhongyang

AU - Berti, Emanuele

AU - Cardoso, Vitor

PY - 2013/8/8

Y1 - 2013/8/8

N2 - The analytical understanding of quasinormal mode ringing requires an accurate knowledge of the Green's function describing the response of the black hole to external perturbations. We carry out a comprehensive study of quasinormal mode excitation for Kerr black holes. Relying on the formalism developed by Mano, Suzuki, and Takasugi, we improve and extend previous calculations of the quasinormal mode residues in the complex frequency plane ("excitation factors B-q''). Using these results we compute the "excitation coefficients'' C-q (essentially the mode amplitudes) in the special case where the source of the perturbations is a particle falling into the black hole along the symmetry axis. We compare this calculation with numerical integrations of the perturbation equations, and we show quantitatively how the addition of higher overtones improves the agreement with the numerical waveforms. Our results should find applications in models of the ringdown stage and in the construction of semianalytical template banks for gravitational-wave detectors, especially for binaries with large mass ratios and/or fast-spinning black holes.

AB - The analytical understanding of quasinormal mode ringing requires an accurate knowledge of the Green's function describing the response of the black hole to external perturbations. We carry out a comprehensive study of quasinormal mode excitation for Kerr black holes. Relying on the formalism developed by Mano, Suzuki, and Takasugi, we improve and extend previous calculations of the quasinormal mode residues in the complex frequency plane ("excitation factors B-q''). Using these results we compute the "excitation coefficients'' C-q (essentially the mode amplitudes) in the special case where the source of the perturbations is a particle falling into the black hole along the symmetry axis. We compare this calculation with numerical integrations of the perturbation equations, and we show quantitatively how the addition of higher overtones improves the agreement with the numerical waveforms. Our results should find applications in models of the ringdown stage and in the construction of semianalytical template banks for gravitational-wave detectors, especially for binaries with large mass ratios and/or fast-spinning black holes.

KW - GRAVITATIONAL-RADIATION

KW - ANALYTIC SOLUTIONS

KW - TEUKOLSKY EQUATION

KW - NORMAL MODES

KW - PERTURBATIONS

KW - COLLISIONS

KW - FIELD

U2 - 10.1103/PhysRevD.88.044018

DO - 10.1103/PhysRevD.88.044018

M3 - Journal article

VL - 88

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 4

M1 - 044018

ER -

ID: 300165800