Quasinormal modes of rapidly rotating black holes

We present the spectrum of quasinormal modes of rapidly rotating black holes. We apply a spectral decomposition on the perturbations of the metric and other dynamical fields. We compare our results with the modes computed using other methods, study the accuracy of our calculations, and investigate the application of our method to black holes in alternative theories of gravity. Current status of the H_0 and growth tensions: theoretical models and model-independent