High-order WKB with Padé approximants and Cesàro means enables computation of black-hole overtones and long-lived quasinormal modes, with a noted limitation that apparent convergence can be incorrect for some metrics.
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Increasing the mass of a scalar field around a parity-symmetric beyond-Horndeski black hole strongly reduces the damping rate of quasinormal modes while suppressing low-frequency absorption and shifting efficient absorption to higher frequencies.
Quasinormal modes correspond well to grey-body factors for vector and tensor perturbations of Schwarzschild-Tangherlini black holes in all dimensions, but fail for scalar l=2 modes in D≥7 because of multiple potential barriers.
Positive tidal charge in this brane-world black hole lowers the effective potential barrier, pushes massive scalar quasinormal modes toward arbitrarily long lifetimes, and increases transmission and absorption.
Increasing the mass of a perturbing scalar field around Einstein-Maxwell-dilaton black holes strongly suppresses damping in several quasinormal branches, producing quasi-resonant long-lived oscillations.
Massive scalar quasinormal modes in quasi-topological black holes become long-lived as scalar mass grows, while photon-sphere radius, shadow size, and ISCO exhibit moderate deviations from Schwarzschild.
WKB analysis of the Teukolsky equation establishes a quasinormal-mode to greybody-factor correspondence for Kerr black holes that holds in the eikonal limit for gravitational perturbations and matches numerics at high angular momentum.
Massive scalar perturbations of de Sitter black holes in generalized Proca theory enter a large-mass regime with linearly growing real frequencies and constant damping rates, without true quasi-resonances, plus an analytic formula and shifts due to black-hole size and Proca hair.
Raising the regularity parameter in this regular black-hole spacetime lowers the single-barrier potentials for all three fields, shifts transmission to lower frequencies, increases absorption cross sections, and produces grey-body factors that agree with lowest-mode QNM reconstructions to roughly 10
Massive scalar quasinormal modes in this DBI-supported regular black hole show higher oscillation frequencies and lower damping as field mass increases, with larger regularity scales producing softer and longer-lived ringing.
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Quasinormal mode/grey-body factor correspondence for Kerr black holes
WKB analysis of the Teukolsky equation establishes a quasinormal-mode to greybody-factor correspondence for Kerr black holes that holds in the eikonal limit for gravitational perturbations and matches numerics at high angular momentum.