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Cardoso, Phys

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

I discuss the range of validity of Detweiler's formula for the resonant frequencies of rapidly rotating Kerr black holes. While his formula is correct for extremal black holes, it has also been commonly accepted that it describes very well the resonant frequencies of near extremal black holes, and that therefore there is a large number of modes clustering on the real axis as the black hole becomes extremal. I will show that this last statement is not only incorrect, but that it also does not follow from Detweiler's formula, provided it is handled with due care. It turns out that only the first n << -log{(r_+-r_-)/r_+} modes are well described by that formula, which translates, for any astrophysical black hole, into one or two modes only. All existing numerical data gives further support to this claim. I also discuss some implications of this result for recent investigations on the late-time dynamics of rapidly rotating black holes.

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representative citing papers

Superradiance -- the 2020 Edition

gr-qc · 2015-01-26 · unverdicted · novelty 4.0

Black-hole superradiance extracts energy via the ergoregion and can trigger instabilities with applications to dark matter, beyond-Standard-Model physics, and laboratory analogs.

Black hole spectroscopy: from theory to experiment

gr-qc · 2025-05-29 · 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.

Quasinormal modes of black holes and black branes

gr-qc · 2009-05-19 · 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 gravitational wave observations.

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Showing 3 of 3 citing papers.

  • Superradiance -- the 2020 Edition gr-qc · 2015-01-26 · unverdicted · none · ref 255 · internal anchor

    Black-hole superradiance extracts energy via the ergoregion and can trigger instabilities with applications to dark matter, beyond-Standard-Model physics, and laboratory analogs.

  • Black hole spectroscopy: from theory to experiment gr-qc · 2025-05-29 · unverdicted · none · ref 39

    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.

  • Quasinormal modes of black holes and black branes gr-qc · 2009-05-19 · unverdicted · none · ref 265

    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 gravitational wave observations.