Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.
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Arbelaez,Quasinormal spectra of higher dimensional regular black holes in theories with infinite curvature corrections,2509.25141
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abstract
We investigate the quasinormal modes of massless scalar and electromagnetic test fields propagating on several families of higher-dimensional regular black holes arising in gravitational theories with an infinite tower of higher-curvature corrections to Einstein gravity. Using the Wentzel--Kramers--Brillouin (WKB) method supplemented by Pad\'e approximants, we compute the fundamental modes and derive compact analytic expressions in the eikonal regime. For all models considered, positive higher-curvature coupling reduces both the oscillation frequencies and damping rates relative to the corresponding singular general-relativistic limit. Since our analysis is restricted to test-field perturbations on fixed regular black-hole backgrounds, these results should be interpreted as geometric and phenomenological signatures of the background geometry rather than as gravitational perturbations of the full higher-curvature theory. Our results provide further insight into how quantum-gravity-inspired corrections and regularity conditions may affect black-hole ringdown signals.
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gr-qc 15years
2026 15representative citing papers
Higher-order terms in an infinite tower of higher-derivative gravity regularize a 5D Proca-Maxwell system, creating frozen regular cores that mimic extremal black holes and satisfy all energy conditions.
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 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.
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.
Regular black holes in quasi-topological gravity produce shifted electromagnetic absorption spectra and modified photon sphere radii relative to singular Tangherlini solutions, with deviations suppressed as spacetime dimensions increase.
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.
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.
For asymptotically flat regular black holes in phantom DBI gravity, the photon sphere, Lyapunov exponent, and derived observables coincide exactly with Schwarzschild values at fixed coordinate radius and are controlled by a single dimensionless core-size function.
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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Regular Black Holes in Nonlocal Quasitopological Gravity
Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.
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Proca-Maxwell System in an Infinite Tower of Higher-Derivative Gravity
Higher-order terms in an infinite tower of higher-derivative gravity regularize a 5D Proca-Maxwell system, creating frozen regular cores that mimic extremal black holes and satisfy all energy conditions.
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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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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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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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Scattering of electromagnetic field in quasi-topological gravity
Regular black holes in quasi-topological gravity produce shifted electromagnetic absorption spectra and modified photon sphere radii relative to singular Tangherlini solutions, with deviations suppressed as spacetime dimensions increase.
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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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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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Eikonal Ringing, Shadows, Lensing, Grey-Body Factors, and Binding Energy of Asymptotically Flat Regular Black Holes in Phantom Dirac-Born-Infeld Gravity
For asymptotically flat regular black holes in phantom DBI gravity, the photon sphere, Lyapunov exponent, and derived observables coincide exactly with Schwarzschild values at fixed coordinate radius and are controlled by a single dimensionless core-size function.
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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.