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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Gravitational quasinormal modes of the Hayward spacetime
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abstract
We study gravitational quasinormal modes of the Hayward spacetime, a regular black-hole geometry that also admits an interpretation as an effective quantum-corrected solution within asymptotically safe gravity. Using both the higher-order WKB method supplemented with Pade approximants and time-domain integration with Prony analysis, we obtain accurate spectra for axial perturbations and explore the impact of the quantum parameter $\gamma$. We find that increasing $\gamma$ systematically raises the oscillation frequencies while reducing the damping rates, making the ringdown longer lived. For the first overtone, the effect of $\gamma$ is noticeably stronger than for the fundamental mode, providing an indication of the so-called outburst of overtones previously observed for test fields, and pointing to the particular sensitivity of subdominant modes to near-horizon quantum corrections. In addition, the analytic approximation for quasinormal modes are obtained in the form of expansion beyond the eikonal limit.
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gr-qc 17years
2026 17representative citing papers
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.
Near the wormhole endpoint, the WKB approximation misestimates Hawking luminosities by orders of magnitude; direct numerical greybody factors lengthen an illustrative lifetime estimate by a factor of about 85.
Quasinormal frequencies for massless fields in Proca-hairy de Sitter black holes show scalar ℓ=0 modes most sensitive to hair parameter Q, with damping weakening near the three-horizon regime.
Increasing the quantum-correction scale in Bardeen spacetime raises quasinormal frequencies, slows decay, suppresses low-frequency transmission, and reorganizes absorption cross-sections.
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.
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.
Increasing zero-point length makes photon and ISCO orbits more compact in ADM units while heavier scalars raise oscillation frequency and suppress damping on this regular self-energy 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.
Numerical scattering calculations for neutral scalar and Dirac fields on Einstein-Euler-Heisenberg-de Sitter black holes show that Euler-Heisenberg coupling raises barriers and shifts transmission frequencies upward while cosmological constant lowers thresholds, with luminosity highly sensitive to t
Applies sixth-order WKB to compute grey-body factors for test fields on generalized Proca black holes with effective de Sitter scale, finding that scalar mass and couplings raise barriers, suppress low-frequency transmission, and affect thermodynamics.
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.
Larger DBI regularity in this regular black hole model reduces quasinormal frequencies and damping rates for scalar, electromagnetic, and Dirac perturbations while the quality factor stays nearly constant, producing a robust spin-dependent ringdown signature.
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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Massive Scalar Quasinormal Modes, Greybody Factors, and Absorption Cross Section of a Parity-Symmetric Beyond-Horndeski Black Hole
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.
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Hawking Emission from Black Holes Evaporating toward Wormholes and the Accuracy of the WKB Approximation
Near the wormhole endpoint, the WKB approximation misestimates Hawking luminosities by orders of magnitude; direct numerical greybody factors lengthen an illustrative lifetime estimate by a factor of about 85.
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Quasinormal Spectra of Fields of Various Spin in Asymptotically de Sitter Black Holes within Generalized Proca Theory
Quasinormal frequencies for massless fields in Proca-hairy de Sitter black holes show scalar ℓ=0 modes most sensitive to hair parameter Q, with damping weakening near the three-horizon regime.
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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 massive scalar modes, grey-body factors, and absorption cross sections of the Reissner--Nordstr\"om-like brane-world black hole
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.
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Quasi-resonances in the vicinity of Einstein-Maxwell-dilaton black hole
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.
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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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Wave and particle probes of a regular T-duality-inspired black hole with gravitational self-energy
Increasing zero-point length makes photon and ISCO orbits more compact in ADM units while heavier scalars raise oscillation frequency and suppress damping on this regular self-energy black hole.
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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.
-
Scattering and Hawking Radiation from Einstein--Euler--Heisenberg--de Sitter Black Holes
Numerical scattering calculations for neutral scalar and Dirac fields on Einstein-Euler-Heisenberg-de Sitter black holes show that Euler-Heisenberg coupling raises barriers and shifts transmission frequencies upward while cosmological constant lowers thresholds, with luminosity highly sensitive to t
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Grey-Body Factors and Thermodynamics of Asymptotically de Sitter Black Holes in Generalized Proca Theory
Applies sixth-order WKB to compute grey-body factors for test fields on generalized Proca black holes with effective de Sitter scale, finding that scalar mass and couplings raise barriers, suppress low-frequency transmission, and affect thermodynamics.
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Long-lived quasinormal modes of Asymptotically de Sitter Black Holes in Generalized Proca Theory
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.
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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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Massive scalar quasinormal modes of an asymptotically flat regular black hole supported by a phantom Dirac--Born--Infeld field
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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Scalar, electromagnetic, and Dirac perturbations of regular black holes constituting primordial dark matter
Larger DBI regularity in this regular black hole model reduces quasinormal frequencies and damping rates for scalar, electromagnetic, and Dirac perturbations while the quality factor stays nearly constant, producing a robust spin-dependent ringdown signature.