The oscillation modes of black holes, called quasinormal modes, are fundamental quantities in gravitational-wave astronomy, no-hair tests of General Relativity and even in a gauge-gravity duality context. Here you can find useful material for research, including comprehensive data for the quasinormal mode spectrum of Kerr black holes, and powerful yet simple routines to compute them. The data and routines are freely available, but we would appreciate if you reference the original work.
Ringdown data
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Frequency basis for parametrized black hole QNMs |
Cardoso, Kimura, Maselli, Berti, Macedo, McManus
McManus, Berti, Macedo, Kimura, Maselli, Cardoso [arXiv:1906.05155]
Kimura
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Schwarzschild QNMs Format: 2MωR, 2MωI, error, n |
Berti, Cardoso & Starinets Cardoso, Lemos & Yoshida
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Kerr QNM frequencies Format: |
Berti, Cardoso & Starinets Berti, Cardoso & Will
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l=2 tar file l=3 tar file l=4 tar file l=5 tar file l=6 tar file l=7 tar file |
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Kerr QNM frequencies Format: |
Berti, Cardoso & Starinets Berti, Cardoso & Will
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l=1 tar file l=2 tar file l=3 tar file l=4 tar file l=5 tar file l=6 tar file l=7 tar file |
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Kerr QNM frequencies Format: |
Berti, Cardoso & Starinets Berti, Cardoso & Will
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l=0 tar file l=1 tar file l=2 tar file l=3 tar file l=4 tar file l=5 tar file l=6 tar file l=7 tar file |
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KN QNM frequencies Format: a/M=Q/M, Mw_R,Mw_I (fundamental mode)
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Dias, Godazgar, Santos |
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QNM Excitation factors Format: |
Berti & Cardoso Zhang, Berti & Cardoso
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s=2 tar file s=1 tar file s=0 tar file |
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Fits to Kerr QNMs Format: MωR=f1+f2(1-a/M)f3 |
Berti, Cardoso & Starinets Berti, Cardoso & Will
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QNM frequencies with 20-digit precision by Plamen Fiziev |
P. Fiziev and D. Staicova, Phys.Rev. D84 (2011) 127502
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Ringdown Routines
Description |
References |
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Computation of Kerr QNMs |
Berti, Cardoso & Starinets Berti, Cardoso & Will |
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Computation of Regge - Wheeler and Zerilli equation |
Regge & Wheeler Zerilli |
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Computation of QNMs |
Chandra & Detweiler Molina, Pani et al |
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| Computation of SAdS QNMs using power-series methods |
Berti, Cardoso & Starinets Cardoso & Lemos,
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Notebook |
| QNMs of RNdS black holes |
Aron Jansen Cardoso, Costa, Destounis, Hintz & Jansen
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Notebook |
| Proca fields on a Kerr BH Slow-rotation approximation |
Pani, Cardoso, Gualtieri, Berti & Ishibashi
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Notebook coefficients.mx
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| QNMs of Kerr-Newman BHs Slow-rotation approximation |
Pani, Berti & Gualtieri
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Notebook |
| Massive spin-2 fluctuations Slow-rotation approximation |
Brito, Cardoso & Pani
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Notebook |
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Solves the eigenspectrum of unstable
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Brito, Cardoso & Pani |
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Computation of the QNMs of EDGB black hole
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Blázquez-Salcedo, Macedo, Cardoso,
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