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Late-time dynamics of rapidly rotating black holes

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

5 Pith papers citing it
abstract

We study the late-time behaviour of a dynamically perturbed rapidly rotating black hole. Considering an extreme Kerr black hole, we show that the large number of virtually undamped quasinormal modes (that exist for nonzero values of the azimuthal eigenvalue m) combine in such a way that the field (as observed at infinity) oscillates with an amplitude that decays as 1/t at late times. This is in clear contrast with the standard late time power-law fall-off familiar from studies of non-rotating black holes. This long-lived oscillating ``tail'' will, however, not be present for non-extreme (presumably more astrophysically relevant) black holes, for which we find that many quasinormal modes (individually excited to a very small amplitude) combine to give rise to an exponentially decaying field. This result could have implications for the detection of gravitational-wave signals from rapidly spinning black holes, since the required theoretical templates need to be constructed from linear combinations of many modes. Our main results are obtained analytically, but we support the conclusions with numerical time-evolutions of the Teukolsky equation. These time-evolutions provide an interesting insight into the notion that the quasinormal modes can be viewed as waves trapped in the spacetime region outside the horizon. They also suggest that a plausible mechanism for the behaviour we observe for extreme black holes is the presence of a ``superradiance resonance cavity'' immediately outside the black hole.

citation-role summary

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gr-qc 5

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UNVERDICTED 5

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representative citing papers

Detectability of avoided crossings in black hole ringdowns

gr-qc · 2026-05-15 · unverdicted · novelty 6.0

Bayesian analysis finds individual QNM frequencies near avoided crossings hard to resolve even under optimistic conditions, though collective AC waveform signatures may remain detectable if those modes dominate and slower-mode contamination is minimal.

Kerr Black Hole Ringdown in Effective Field Theory

gr-qc · 2026-03-10 · unverdicted · novelty 6.0

Effective field theory yields model-independent corrections to Kerr black hole quasinormal modes that oscillate logarithmically near extremality, indicating discrete scale invariance.

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.

citing papers explorer

Showing 5 of 5 citing papers.

  • Quasinormal modes and their excitation beyond general relativity. II: isospectrality loss in gravitational waveforms gr-qc · 2026-01-19 · unverdicted · none · ref 70 · internal anchor

    In a beyond-GR cubic-curvature model, loss of isospectrality makes it generally difficult to identify the two fundamental quasinormal modes from black hole ringdown time series, though evidence for a non-GR mode is sometimes possible.

  • Detectability of avoided crossings in black hole ringdowns gr-qc · 2026-05-15 · unverdicted · none · ref 42 · internal anchor

    Bayesian analysis finds individual QNM frequencies near avoided crossings hard to resolve even under optimistic conditions, though collective AC waveform signatures may remain detectable if those modes dominate and slower-mode contamination is minimal.

  • Kerr Black Hole Ringdown in Effective Field Theory gr-qc · 2026-03-10 · unverdicted · none · ref 57 · internal anchor

    Effective field theory yields model-independent corrections to Kerr black hole quasinormal modes that oscillate logarithmically near extremality, indicating discrete scale invariance.

  • Black hole spectroscopy: from theory to experiment gr-qc · 2025-05-29 · unverdicted · none · ref 152

    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 264

    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.