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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Axisymmetric black holes allowing for separation of variables in the Klein-Gordon and Hamilton-Jacobi equation
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abstract
We determine the class of axisymmetric and asymptotically flat black-hole spacetimes for which the test Klein-Gordon and Hamilton-Jacobi equations allow for the separation of variables. The known Kerr, Kerr-Newman, Kerr-Sen and some other black-hole metrics in various theories of gravity are within the class of spacetimes described here. It is shown that although the black-hole metric in the Einstein-dilaton-Gauss-Bonnet theory does not allow for the separation of variables (at least in the considered coordinates), for a number of applications it can be effectively approximated by a metric within the above class. This gives us some hope that the class of spacetimes described here may be not only generic for the known solutions allowing for the separation of variables, but also a good approximation for a broader class of metrics, which does not admit such separation. Finally, the generic form of the axisymmetric metric is expanded in the radial direction in terms of the continued fractions and the connection with other black-hole parametrizations is discussed.
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gr-qc 13years
2026 13verdicts
UNVERDICTED 13representative citing papers
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.
Numerical simulations benchmark the eikonal and post-Kerr approximations for quasinormal modes in deformed Kerr spacetimes, quantifying their errors relative to expected observational precision.
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.
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.
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
Numerical study of holonomy-corrected Schwarzschild black holes finds enhanced low-frequency scalar transmission but overall suppressed Hawking radiation, with electromagnetic channel most quenched.
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.
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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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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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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Confronting eikonal and post-Kerr methods with numerical evolution of scalar field perturbations in spacetimes beyond Kerr
Numerical simulations benchmark the eikonal and post-Kerr approximations for quasinormal modes in deformed Kerr spacetimes, quantifying their errors relative to expected observational precision.
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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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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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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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Greybody Factors, Absorption Cross Sections and Hawking Radiation of Holonomy-Corrected Schwarzschild Black Holes
Numerical study of holonomy-corrected Schwarzschild black holes finds enhanced low-frequency scalar transmission but overall suppressed Hawking radiation, with electromagnetic channel most quenched.
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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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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.