Quasinormal modes and excitation factors of Kerr black holes

This is a page for the data release related to the paper “Quasinormal modes and excitation factors of Kerr black holes” (arXiV:2504.00084).

Tables of QNM frequencies and excitation factors

In this work, we tabulated the frequencies and excitation factors for scalar (\(s=0\)), electromagnetic (\(s=\pm1\)), and gravitational (\(s=\pm2\)) QNMs using a new approach based on the generalized Sasaki-Nakamura formalism.

The following table summarizes the modes available in the data set:

(*except for \(s = \ell = m = 0\), where only \(n = 0,1\) modes were computed)

for values of specific angular momenta \(a/M \in [0, 0.9999]\).

They are available as CSV files (i.e., comma spearated) here, with the following format:

\(a/M\), \(\mathrm{Re}\,M\omega\), \(\mathrm{Im}\,M\omega\), \(\mathrm{Re}\,A_{\ell m n}\), \(\mathrm{Im}\,A_{\ell m n}\), \(\mathrm{Re}\,M^{-2s}B^{\mathrm{T}}_{\ell m n}\), \(\mathrm{Im}\,M^{-2s}B^{\mathrm{T}}_{\ell m n}\), \(\mathrm{Re}\,B^{\mathrm{SN}}_{\ell m n}\), \(\mathrm{Im}\,B^{\mathrm{SN}}_{\ell m n}\)

Interactive plots of QNM frequencies and excitation factors

Here you can find plots of the QNM frequencies (left panel) and the corresponding Teukolsky excitation factors (right panel), as functions of \(a/M\), for each of the \(s\ell m\) modes.

With these plots, it is easy to see how and when different overtones cross/repel each other in the real and the imaginary part of the mode frequencies respectively.

You can toggle on/off a particular overtone by clicking on the legend on the top right panel. You can also zoom in and out with the toolbox at the top right corner. (Note: they require internet connections to display/work properly)