Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy. / Zhang, Zhongyang; Berti, Emanuele; Cardoso, Vitor.
I: Physical Review D, Bind 88, Nr. 4, 044018, 08.08.2013.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
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