Quasinormal modes of a scale-dependent black hole in 5D spacetime with cosmological constant
arXiv:2611.11584 · doi:10.1140/epjp/s13360-026-08418-6
Abstract
In this paper, we investigate the quasinormal modes (QNMs) of a scale-dependent black hole in five dimensions with a positive cosmological constant, considering i) scalar, ii) electromagnetic, and iii) Dirac perturbations. After deriving exact analytical solutions within the framework of scale-dependent gravity in five dimensions and selecting a different family of solutions (cf. \cite{Contreras:2019fwu}), we analyze the corresponding effective potentials (given by the lapse function) for each perturbation type. We employ a first-order approximation for the lapse function, as it closely matches the exact case for small . Since quantum corrections are expected to be small, our focus is on a relatively low range of the scale-dependent parameter . We confirm that the WKB semi-analytical approach can be used to compute the QNMs for these perturbations to the background geometry. We calculate the QNM frequencies for the classical case (for comparison) and for cases where the scale-dependent parameter , which quantifies deviations from General Relativity, is non-zero. The results are summarized in a series of tables and figures. Finally, we find that, regardless of the perturbation type, the solutions are stable, as the imaginary part of each QNM frequency is negative.
arXiv comment39 pages, 11 figures, 4 tables. Published in The European Physical Journal Plus
References in corpus (86)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- Quasinormal modes of black holes and black branes
- Exact evolution equation for the effective potential
- Quasinormal modes of black holes: from astrophysics to string theory
- Nonperturbative Evolution Equation for Quantum Gravity
- The Exact Renormalisation Group and Approximate Solutions
- Brane-World Gravity
- The Thermodynamics of Black Holes
- Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
- Black Holes in Higher Dimensions
- Renormalization group improved black hole spacetimes
- Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
- Fixed points of quantum gravity
- Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
- Topological Black Holes in Anti-de Sitter Space
- Quantum Gravity: a Progress Report
- Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
- Quasinormal modes of black holes. The improved semianalytic approach
- Universailty of Low Energy Absorption Cross-sections for Black Holes
- Asymptotic safety in higher-derivative gravity
- Quantum Gravity from Causal Dynamical Triangulations: A Review
- Introduction to the functional RG and applications to gauge theories
- A Short Review of Loop Quantum Gravity
- On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
- The Asymptotic Safety Scenario in Quantum Gravity -- An Introduction
- Matter matters in asymptotically safe quantum gravity
- On the renormalization group flow of f(R)-gravity
- Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity
- Further evidence for asymptotic safety of quantum gravity
- Black Hole Thermodynamics
- Renormalization group improved gravitational actions: a Brans-Dicke approach
- Renormalisation group and the Planck scale
- Bimetric Renormalization Group Flows in Quantum Einstein Gravity
- Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety
- Ghost anomalous dimension in asymptotically safe quantum gravity
- Completeness and consistency of renormalisation group flows
- Black holes within Asymptotic Safety
- Matter Induced Bimetric Actions for Gravity
- Quasinormal ringing of regular black holes in asymptotically safe gravity: the importance of overtones
- Greybody Factors for Scalar Fields emitted by a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
- A scale dependent black hole in three-dimensional space-time
- Correspondence between grey-body factors and quasinormal modes
- Status of the asymptotic safety paradigm for quantum gravity and matter
- Greybody factor and quasinormal modes of Regular Black Holes
- Greybody factors for non-minimally coupled scalar fields in Schwarzschild-de Sitter spacetime
- Hawking Radiation Spectra for Scalar Fields by a Higher-Dimensional Schwarzschild-de-Sitter Black Hole
- Quasinormal modes of renormalization group improved Dymnikova regular black holes
- Split fermion quasi-normal modes
- Analytic expressions for quasinormal modes and grey-body factors in the eikonal limit and beyond
- Anomalous Fermion Production in Gravitational Collapse
- A regular scale-dependent black hole solution
- Scale-dependent polytropic black hole
- 4D scale-dependent Schwarzschild-AdS/dS black holes: study of shadow and weak deflection angle and greybody bounding
- A pedagogical explanation for the non-renormalizability of gravity
- Scale-dependent rotating BTZ black hole
- Quasinormal modes of massive scalar fields in four-dimensional wormholes: anomalous decay rate
- A static and spherically symmetric hairy black hole in the framework of the Gravitational Decoupling
- Quantum improved charged black holes
- Long-lived Quasinormal Modes and Gray-Body Factors of black holes and wormholes in dark matter inspired Weyl Gravity
- Black Hole Thermodynamics and Statistical Mechanics
- Non-Minimal Einstein-Yang-Mills Black Holes: Fundamental Quasinormal Mode and Grey-Body factors versus Outburst of Overtones
- Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes
- Quasinormal Modes and Bounding Greybody Factors of GUP-corrected Black Holes in Kalb-Ramond Gravity
- Quasinormal modes of an improved Schwarzschild black hole
- Scale--dependent Hayward black hole and the generalized uncertainty principle
- Quasinormal modes and greybody factors of symmergent black hole
- Black Hole Solutions for Scale Dependent Couplings: The de Sitter and the Reissner-Nordström Case
- Relativistic dust accretion onto a scale--dependent polytropic black hole
- Orbits of light rays in scale-dependent gravity: Exact analytical solutions to the null geodesic equations
- Shadow and quasinormal modes of the rotating Einstein-Euler-Heisenberg black holes
- Photons trajectories on a first order scale-dependent static BTZ black hole
- On the null energy condition in scale dependent frameworks with spherical symmetry
- Long-lived Quasinormal modes around regular black holes and wormholes in Covariant Effective Quantum Gravity
- Asymptotically safe gravity
- A bootstrap strategy for asymptotic safety
- Quasinormal modes of magnetized black hole
- The Sagnac effect on a scale-dependent rotating BTZ black hole background
- Quasinormal modes of black holes in 5D Gauss-Bonnet gravity combined with non-linear electrodynamics
- On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows
- Thermodynamics of scale-dependent Friedmann equations
- The effects of running gravitational coupling on three dimensional black holes
- Five-dimensional scale-dependent black holes with constant curvature and Solv horizons
- Charged black holes in Kalb-Ramond gravity: Weak Deflection Angle, Shadow cast, Quasinormal Modes and Neutrino annihilation
- Dark matter halos modeled by polytropic spheres influenced by the relict cosmological constant and trapping polytropes forming supermassive black holes