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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


Description

References

Download

Schwarzschild QNMs

Format: 2MωR, 2MωI, error, n

s=l=2 dat file
s=l=1 dat file
s=l=0 dat file

Kerr QNM frequencies
(Gravitational s=-2)

Format:
a/M, MωR, MωI, Re[Alm], Im[Alm]
We start counting from n=1

l=2 tar file

l=3 tar file

l=4 tar file

l=5 tar file

l=6 tar file

l=7 tar file

Kerr QNM frequencies
(Electromagnetic s=-1)

Format:
a/M, MωR, MωI, Re[Alm], Im[Alm]
We start counting from n=1

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

Kerr QNM frequencies
(Scalar s=0)

Format:
a/M, MωR, MωI, Re[Alm], Im[Alm]
We start counting from n=1

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

 

KN QNM frequencies
(Gravitational modes)

Format: a/M=Q/M, Mw_R,Mw_I (fundamental mode)

 

dat file (9.4 KB)

QNM Excitation factors
(scalar, vectors and tensors)

Format:
a/M, MωR, MωI, Re[Alm], Im[Alm];

Re[BTeuk]; Im[BTeuk];Re[BSN]; Im[BSN];

s=2 tar file

s=1 tar file

s=0 tar file

Fits to Kerr QNMs

Format:

l, m, n, f1, f2, f3, q1, q2, q3

R=f1+f2(1-a/M)f3
Q=q1+q2(1-a/M)q3

dat file

 

 

Ringdown Routines

Description

References

Download

Computation of Kerr QNMs
with Leaver’s method

Notebook

Computation of Regge - Wheeler and Zerilli equation
using Mathematica and xTensor

Notebook

Computation of QNMs
with direct integration

Notebook

Computation of SAdS QNMs
using power-series methods
Notebook
QNMs of RNdS black holes Notebook
Proca fields on a Kerr BH
Slow-rotation approximation
Notebook

coefficients.mx

 

QNMs of Kerr-Newman BHs
Slow-rotation approximation
Notebook
Massive spin-2 fluctuations
Slow-rotation approximation
Notebook

 

Solves the eigenspectrum of unstable
modes of a Kerr BHunder massive scalar
perturbations through Leaver's continued
fraction method.

 

 

Notebook (16.8 KB)

 

Computation of the QNMs of EDGB black hole

 

 

Notebook (1.2 MB)