pith. sign in

arxiv: gr-qc/9610048 · v1 · submitted 1996-10-22 · 🌀 gr-qc

A detailed study of quasinormal frequencies of the Kerr black hole

Hisashi Onozawa (Tokyo Inst. of Tech.) This is my paper
classification 🌀 gr-qc
keywords frequenciesquasinormalkerrmethodonlyblackcontinuedfirst
0
0 comments X
read the original abstract

We compute the quasinormal frequencies of the Kerr black hole using a continued fraction method. The continued fraction method first proposed by Leaver is still the only known method stable and accurate for the numerical determination of the Kerr quasinormal frequencies. We numerically obtain not only the slowly but also the rapidly damped quasinormal frequencies and analyze the peculiar behavior of these frequencies at the Kerr limit. We also calculate the algebraically special frequency first identified by Chandrasekhar and confirm that it coincide with the $n=8$ quasinormal frequency only at the Schwarzschild limit.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Pole Skipping, Avoided Crossing, and Resonant Excitation in Kerr Quasinormal Modes near Algebraically Special Frequencies

    gr-qc 2026-05 unverdicted novelty 7.0

    Anomalous bifurcation and disappearance of Kerr quasinormal modes near algebraically special frequencies arise from avoided crossings with resonant excitation and pole skipping via quasinormal-Matsubara pole-zero canc...

  2. Axial Oscillations of Viscous Neutron Stars

    gr-qc 2026-04 unverdicted novelty 7.0

    Viscous neutron stars have new families of axial oscillation modes without perfect-fluid counterparts, featuring mode avoidance and long-lived modes.

  3. Exceptional Points and Resonance in Black Hole Ringdown

    gr-qc 2025-12 conditional novelty 7.0

    An exceptional-point framework for black-hole ringdown characterizes resonances near avoided crossings, demonstrates enhanced mode contributions in the time domain, and identifies the EP frequency as the physically re...

  4. Pole Skipping, Avoided Crossing, and Resonant Excitation in Kerr Quasinormal Modes near Algebraically Special Frequencies

    gr-qc 2026-05 unverdicted novelty 6.0

    Kerr QNM anomalies near algebraically special frequencies arise from avoided crossings with resonant excitation and pole skipping due to quasinormal-Matsubara pole-zero cancellations.

  5. Black hole spectroscopy: from theory to experiment

    gr-qc 2025-05 unverdicted novelty 2.0

    A review summarizing the state of the art in black hole quasinormal modes, ringdown waveform modeling, current LIGO-Virgo-KAGRA observations, and prospects for LISA and next-generation detectors.

  6. Quasinormal modes of black holes and black branes

    gr-qc 2009-05 unverdicted novelty 2.0

    Quasinormal modes are eigenmodes of dissipative gravitational systems whose spectra encode near-equilibrium transport coefficients in dual quantum field theories and enable tests of general relativity through gravitat...

  7. Quasi-Normal Modes of Stars and Black Holes

    gr-qc 1999-09 unverdicted novelty 2.0

    A review summarizing the properties, calculation methods, and astrophysical relevance of quasi-normal modes for Schwarzschild, Reissner-Nordström, Kerr, Kerr-Newman black holes and non-rotating or slowly-rotating stars.