Quasinormal modes of Bonanno-Reuter black holes via the Spectral Method

Abstract

In this work, we explore the quasinormal modes (QNMs) of the Bonanno-Reuter black hole, one of the first regular black hole metric suggested by the Asymptotically Safe Gravity (ASG) program. The running parameter $\alpha$ is set to a positive value, the related running Newton coupling vanishes at high energies, fully achieving an ultraviolet fixed point and eliminating non-physical UV divergences. This yields a singularity-free geometry. Hence, we focus on the resulting renormalisation-group-improved Schwarzschild metric, which naturally produces an (Anti)deSitter non-singular core. On the basis of this background, we compute the QNM spectrum for scalar, electromagnetic, and gravitational perturbations by employing the Spectral Method (SM). This method, recognised for its enhanced precision compared to high-order WKB methods, allows the identification of fundamental modes, extensive collections of overtones, and purely imaginary overdamped modes that were entirely missed in previous analyses. These characteristics, resolved here for the first time in the Bonanno-Reuter black hole, underscore the crucial importance of high-precision spectral methods in investigating delicate signatures of black hole models inspired by quantum gravity.

42 pages, 1 figure, XXIX Tables

References in corpus (24)

• Exact evolution equation for the effective potential
• The physical interpretation of the spectrum of black hole quasinormal modes
• Quasi-Normal Modes and Gravitational Wave Astronomy
• Traversable Wormholes in General Relativity
• Quasinormal ringing of regular black holes in asymptotically safe gravity: the importance of overtones
• Black Hole Remnants in the Early Universe
• Investigating the Connection between Generalized Uncertainty Principle and Asymptotically Safe Gravity in Black Hole Signatures through Shadow and Quasinormal Modes
• Quasinormal modes of renormalization group improved Dymnikova regular black holes
• Quasinormal modes and gray-body factors of regular black holes in asymptotically safe gravity
• Generalized uncertainty principle and Asymptotic Safe gravity
• Nonlinear quasinormal mode detectability with next-generation gravitational wave detectors
• Quasinormal modes of an improved Schwarzschild black hole
• Generalised Hayward spacetimes: Geometry, matter and scalar quasinormal modes
• Analytical QNMs of fields of various spin in the Hayward spacetime
• Quasinormal Modes in Noncommutative Schwarzschild Black Holes: A Spectral Analysis
• Perturbing microscopic black holes inspired by noncommutativity
• A Unified Spectral Approach for Quasinormal Modes of Morris-Thorne Wormholes
• Planck Stars from a Scale-dependent Gravity theory
• A Unified Spectral Approach for Quasinormal Modes of Lee-Wick Black Holes
• Quasi-normal modes, area spectra and multi-horizon spacetimes
• Instability Analysis of Massive Static Phantom Wormholes via the Spectral Method
• A Spectral Approach for Quasinormal Frequencies of Noncommutative Geometry-inspired Wormholes
• Gravitational Collapse in Scale-Dependent Gravity
• Spectral Analysis of Quasinormal Modes of Planck Stars