Data and scripts for: "Exceptional point and hysteresis in perturbations of Kerr black holes" and "Massive scalar perturbations in Kerr Black Holes: near extremal analysis"

Datasets associated with the article Exceptional point and hysteresis in perturbations of Kerr black holes - arXiv:2407.20850 [gr-qc] and Massive scalar perturbations in Kerr Black Holes: near extremal analysis - 2408.13964 [gr-qc]. The file Isomonodromy.zip contains three subfolders and the file CFM.zip contains two subfolders. Each subfolder includes a readme file that provides a description of the folder contents. A brief description of each subfolder is given below:

1) Isomonodromy.zip

1.1) Folder "Data" contains data obtained through the isomonodromic method. Data consists of radial eigenvalues (quasinormal frequencies) and angular eigenvalues as a function of the mass of the scalar field and the spin of the Kerr black hole. 

1.2) Folder "Notebook - Mathematica" contains a Mathematica notebook to compute the angular eigenvalue expansion and the asymptotic expression for the frequency in the extremal limit. 

1.3) Folder "Script - Julia" constains a script that implements the isomonodromic method to compute quasinormal modes of massive scalar perturbations in Kerr black holes.

Note: This script has been tested with Julia 1.10.7 LTS and ArbNumerics 1.5.3. It is currently NOT compatible with Julia 1.11.X, likely due to changes in memory allocation breaking compatibility with libArb.

2) CFM.zip

1.1) Folder "Data" contains data obtained through the continued fraction method. Data consists of radial eigenvalues (quasinormal frequencies) and angular eigenvalues as a function of the mass of the scalar field and the spin of the Kerr black hole. 

1.2) Folder "Notebook - Mathematica" implements the continued fraction method to compute quasinormal modes of massive scalar perturbations in Kerr black holes.