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Quadratic quasi-normal mode dependence on linear mode parity

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

7 Pith papers citing it
abstract

Quasinormal modes (QNMs) uniquely describe the dominant piece of the gravitational-wave ringdown of postmerger black holes. While the linear QNM regime has been extensively studied, recent work has highlighted the importance of second-perturbative-order, quadratic QNMs (QQNMs) arising from the nonlinear coupling of linear QNMs. Previous attempts to quantify the magnitude of these QQNMs have shown discrepant results. Using a new hyperboloidal framework, we resolve the discrepancy by showing that the QQNM/QNM ratio is a function not only of the black hole parameters but also of the ratio between even- and odd-parity linear QNMs: the ratio QQNM/QNM depends on what created the ringing black hole, but only through this ratio of even- to odd-parity linear perturbations.

citation-role summary

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citation-polarity summary

fields

gr-qc 6 hep-th 1

years

2026 7

roles

background 4

polarities

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representative citing papers

Black Hole Ringdown Nonlinearities in the Large-D Limit

gr-qc · 2026-06-22 · unverdicted · novelty 6.0

In the large-D limit, analytic third-order nonlinear corrections to quasinormal modes improve ringdown modeling accuracy by several orders of magnitude for head-on black hole collisions.

Prompt Response from Plunging Sources in Schwarzschild Spacetime

gr-qc · 2026-04-09 · unverdicted · novelty 5.0

The prompt response is ~1.2 times stronger than quasinormal mode excitation during inspiral and enables 99% accurate reconstruction of the full inspiral-merger-ringdown waveform when combined with other components.

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Showing 7 of 7 citing papers.