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
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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.
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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.