Infinite tower of higher-curvature corrections: Quasinormal modes and late-time behavior of D-dimensional regular black holes

Abstract

Recently, Bueno, Cano, and Hennigar [arXiv:2403.04827] proposed a generic approach for incorporating an infinite tower of higher-curvature corrections into the Einstein theory. In this study, we compute quasinormal modes for certain regular D-dimensional black holes resulting from this infinite series of higher-curvature corrections, specifically focusing on the $D$-dimensional extensions of the Bardeen and Hayward black holes. We demonstrate that while the fundamental mode is minimally affected by moderate coupling constants, the higher overtones exhibit significant sensitivity even to small coupling values, yielding unconventional modes characterized by vanishing real oscillation frequencies. When comparing the frequencies derived from the metric truncated at several orders of higher-curvature corrections with those resulting from the infinite series of terms, we observe a rapid convergence of the frequencies to their limit for the complete regular black hole. This validates the extensive research conducted on specific theories with a finite number of higher-curvature corrections, such as the Lovelock theory.

13 pages, 6 figures

References in corpus (25)

• Rotating regular black holes
• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Are eikonal quasinormal modes linked to the unstable circular null geodesics?
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity
• Regular black holes in quadratic gravity
• Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core
• Asymptotic safety casts its shadow
• Massive scalar field quasi-normal modes of higher dimensional black holes
• Further clarification on quasinormal modes/circular null geodesics correspondence
• Relaxations of perturbations of spacetimes in general relativity coupled to nonlinear electrodynamics
• Quasinormal modes of Dirac field in the Einstein-dilaton-Gauss-Bonnet and Einstein-Weyl gravities
• Quasinormal modes of renormalization group improved Dymnikova regular black holes
• Analytic expressions for quasinormal modes and grey-body factors in the eikonal limit and beyond
• Quasinormal modes and grey-body factors of regular black holes with a scalar hair from the Effective Field Theory
• Electromagnetic quasinormal modes of D-dimensional black holes
• Quasinormal modes of nonlinear electromagnetic black holes from unstable null geodesics
• Stability of magnetic black holes in general nonlinear electrodynamics
• (Regular) Black holes in conformal Killing gravity coupled to nonlinear electrodynamics and scalar fields
• Quasinormal modes in higher derivative gravity: testing the black hole parametrization and sensitivity of overtones
• From regular black holes to horizonless objects: quasi-normal modes, instabilities and spectroscopy
• Quasinormal modes of Einstein--scalar--Gauss--Bonnet black holes
• Exploring non-singular black holes in gravitational perturbations
• The sound of the event horizon
• Overtones' outburst of asymptotically AdS black holes

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