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Further clarification on quasinormal modes/circular null geodesics correspondence
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Further clarification on quasinormal modes/circular null geodesics correspondence
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The well-known duality between quasinormal modes of any stationary, spherically symmetric and asymptotically flat or de Sitter black hole and parameters of the circular null geodesic was initially claimed for gravitational and test field perturbations. According to this duality the real and imaginary parts of the $\ell \gg n$ quasinormal mode (where $\ell$ and $n$ are multipole and overtone numbers respectively) are multiples of the frequency and instability timescale of the circular null geodesics respectively. Later it was shown that the duality is guaranteed only for test fields and may be broken for gravitational and other non-minimally coupled fields. Here, we farther specify the duality and prove that even when the duality is guaranteed it may not represent the full spectrum of the $\ell \gg n$ modes, missing the quasinormal frequencies which cannot be found by the standard WKB method. In particular we show that this always happens for an arbitrary asymptotically de Sitter black holes and further argue that, in general, this might be related to sensitivity of the quasinormal spectrum to geometry deformations near the boundaries.
Forward citations
Cited by 8 Pith papers
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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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From Ringdown to Lensing: Analytic Eikonal Modes of Quasi-Topological Regular Black Holes
Analytic quasinormal-mode expressions and explicit QNM-shadow-lensing correspondence for four-dimensional quasi-topological regular black holes.
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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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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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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 trans...
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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.
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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
Derives closed first-order eikonal expressions that connect a scalarized black-hole metric to quasinormal frequencies, shadows, strong deflection, and transmission probabilities.
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Connection Between the Shadow Radius and Quasinormal Frequencies for Black Holes in STVG with Perfect Fluid Dark Matter
In STVG with PFDM, eikonal QNM real frequencies equal multipole number over shadow radius, so shadow size and ringdown are dual photon-sphere observables.
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