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.
Canonical reference
Bolokhov,Quasinormal ringing of a regular black hole sourced by the Dehnen-type distribution of matter,2511.12859
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Quasinormal modes of massive scalars in CFM brane-world black holes split into two types, with modes disappearing at critical masses where real or imaginary frequency parts reach zero.
Increasing the quantum-correction scale in Bardeen spacetime raises quasinormal frequencies, slows decay, suppresses low-frequency transmission, and reorganizes absorption cross-sections.
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.
Higher dimensional regular black holes in quasi-topological gravity have suppressed grey-body factors and Hawking radiation compared to singular black holes in general relativity.
Numerical greybody factors for the Dymnikova black hole show temperature-driven luminosity suppression near the extremal remnant, with increasing fermion dominance in the residual massless flux.
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
First-order eikonal formulas connect a scalarized black-hole metric to quasinormal modes, shadows, strong lensing, and grey-body factors via photon-sphere invariants in the weak-hair limit.
citing papers explorer
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Ces\`aro convergence of the high-order WKB method and its applications to black-hole overtones and long-lived modes
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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Two types of quasinormal modes of Casadio-Fabbri-Mazzacurati brane-world black holes
Quasinormal modes of massive scalars in CFM brane-world black holes split into two types, with modes disappearing at critical masses where real or imaginary frequency parts reach zero.
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Bardeen spacetime as quantum corrected black hole: Grey-body factors and quasinormal modes of gravitational perturbations
Increasing the quantum-correction scale in Bardeen spacetime raises quasinormal frequencies, slows decay, suppresses low-frequency transmission, and reorganizes absorption cross-sections.
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Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity
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.
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Grey-body factors of higher dimensional regular black holes in quasi-topological theories
Higher dimensional regular black holes in quasi-topological gravity have suppressed grey-body factors and Hawking radiation compared to singular black holes in general relativity.
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Hawking Radiation from the Dymnikova Regular Black Hole
Numerical greybody factors for the Dymnikova black hole show temperature-driven luminosity suppression near the extremal remnant, with increasing fermion dominance in the residual massless flux.
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Scattering of scalar, electromagnetic, and Dirac fields in an asymptotically flat regular black hole supported by primordial dark matter
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
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A First-Order Eikonal Framework for Quasinormal Modes, Shadows, Strong Lensing, and Grey-Body Factors in a Scalarized Black-Hole Metric
First-order eikonal formulas connect a scalarized black-hole metric to quasinormal modes, shadows, strong lensing, and grey-body factors via photon-sphere invariants in the weak-hair limit.