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The universal Teukolsky equations and black hole perturbations in higher-derivative gravity

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arxiv 2304.02663 v3 pith:CFP6YRXX submitted 2023-04-05 gr-qc hep-th

classification gr-qchep-th
keywords blackequationsgeneralhigher-derivativeholesdecoupledearliergravity
verification ladder T0 review T1 audit T2 compute T3 formal

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We reduce the study of perturbations of rotating black holes in higher-derivative extensions of general relativity to a system of decoupled radial equations that stem from a set of universal Teukolsky equations. We detail a complete computational strategy to obtain these decoupled equations in general higher-derivative theories. We apply this to six-derivative gravity to compute the shifts in the quasinormal mode frequencies with respect to those of Kerr black holes in general relativity. At linear order in the angular momentum we reproduce earlier results obtained with a metric perturbation approach. In contrast with this earlier work, however, the method given here applies also to post-merger black holes with significant spin, which are of particular observational interest.

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Cited by 12 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    A bilinear-form framework computes black-hole quasinormal-mode frequency shifts to any order, but the mode-sum expansion of the first-order mode shift diverges and needs a continuum piece.

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    Scalar radiation from an EMRI in an ultralight scalar cloud is computed semi-analytically, showing dipole clouds decelerate and quadrupole clouds accelerate the inspiral, with up to about 100 rad dephasing after 18 months.

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    No evidence of higher-derivative EFT corrections in black hole ringdown spectra from GWTC-3; new physics length scale constrained to ℓ ≲ 35 km.

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  11. Extreme mass-ratio inspirals and extra dimensions: Insights from modified Teukolsky framework

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  12. Can We Detect Deviations from Einstein's Gravity in Black Hole Ringdowns?

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