Direct waves in filtered Schwarzschild ringdown are the anti-causal filter-pole contribution sourced by near-horizon trajectory dynamics and do not vanish.
Andersson, Phys
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Quasinormal mode excitation in black hole ringdown equals the Fourier transform of the perturbation evaluated at the mode frequency, so black holes act as resonant spectral filters.
GreyRing model based on greybody factors reproduces numerical relativity ringdown signals with mismatches of order 10^{-6} and enables a new post-merger consistency test of general relativity applied to GW250114.
Matrix matching yields improved quasi-bound spectra (fine structure + decay widths) for a massive Dirac field on RN, and branch-cut analysis plus simulations reveal an intermediate oscillatory power law followed by a QBS-driven t^{-5/6} exp(-η t^{1/3}) far-late-time regime.
Analytical proof establishes universality of late-time ringdown tails for any effective potential decaying as 1/r², with different power-law behavior for 1/r^α (1<α<2), covering charged black holes, Kerr, exotic objects, modified gravity, and environmental matter distributions.
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.
citing papers explorer
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Foundations of Direct Waves in Schwarzschild Ringdown
Direct waves in filtered Schwarzschild ringdown are the anti-causal filter-pole contribution sourced by near-horizon trajectory dynamics and do not vanish.
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Shaping black hole resonances I. Black hole ringdown as a spectral filtering process
Quasinormal mode excitation in black hole ringdown equals the Fourier transform of the perturbation evaluated at the mode frequency, so black holes act as resonant spectral filters.
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Novel ringdown tests of general relativity with black hole greybody factors
GreyRing model based on greybody factors reproduces numerical relativity ringdown signals with mismatches of order 10^{-6} and enables a new post-merger consistency test of general relativity applied to GW250114.
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Quasi-bound states and late-time evolution of a massive fermion around a Reissner-Nordstr\"{o}m black hole
Matrix matching yields improved quasi-bound spectra (fine structure + decay widths) for a massive Dirac field on RN, and branch-cut analysis plus simulations reveal an intermediate oscillatory power law followed by a QBS-driven t^{-5/6} exp(-η t^{1/3}) far-late-time regime.
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On the universality of late-time ringdown tail
Analytical proof establishes universality of late-time ringdown tails for any effective potential decaying as 1/r², with different power-law behavior for 1/r^α (1<α<2), covering charged black holes, Kerr, exotic objects, modified gravity, and environmental matter distributions.
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Prompt Response from Plunging Sources in Schwarzschild Spacetime
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.
- Pole structure of the Kerr Green's function