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Ringdown stability: greybody factors as stable gravitational-wave observables

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arxiv 2406.01692 v3 pith:XTACF2FJ submitted 2024-06-03 gr-qc astro-ph.HEhep-phhep-th

Ringdown stability: greybody factors as stable gravitational-wave observables

classification gr-qc astro-ph.HEhep-phhep-th
keywords ringdownquasinormalcertainmodespectrumstablefactorsgreybody
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The quasinormal mode spectrum of black holes plays a crucial role in the modelling of post-merger ringdown signals. However, the spectrum is extremely sensitive to small deformations of the system and describes the linear response only in a certain (not precisely defined) timeframe after the merger. We argue here that the greybody factors, recently shown to describe the ringdown spectral amplitude at relatively high frequencies, are instead stable under small perturbations of the system and free of certain ambiguities that plague the quasinormal mode spectrum. Our analysis also unveils a nontrivial interplay: while certain ringdown quantities are dominated by the contribution of spectrally unstable quasinormal modes, these modes conspire to produce stable observables. Thus, we propose a complementary approach to ringdown studies, which circumvents some limitations of the standard quasinormal mode description.

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Cited by 16 Pith papers

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