Quasinormal spectra of scale-dependent Schwarzschild-de Sitter black holes

Abstract

We compute the quasinormal spectra for scalar, Dirac and electromagnetic perturbations of the Schwarzschild-de Sitter geometry in the framework of scale-dependent gravity, which is one of the current approaches to quantum gravity. Adopting the widely used WKB semi-classical approximation, we investigate the impact on the spectrum of the angular degree, the overtone number as well as the scale-dependent parameter for fixed black hole mass and cosmological constant. We summarize our numerical results in tables, and for better visualization, we show them graphically as well. All modes are found to be stable. Our findings show that both the real part and the absolute value of the imaginary part of the frequencies increase with the parameter $\epsilon$ that measures the deviation from the classical geometry. Therefore, in the framework of scale-dependent gravity the modes oscillate and decay faster in comparison with their classical counterparts.

10 pages, 3 tables, 3 figures, accepted for publication in Phys. Dark Univ. arXiv admin note: substantial text overlap with arXiv:2006.11889

References in corpus (15)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• The Confrontation between General Relativity and Experiment
• Exact evolution equation for the effective potential
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Quasinormal modes of Einstein-Gauss-Bonnet-dilaton black holes
• Quasinormal modes of D-dimensional de Sitter spacetime
• Quasinormal modes for tensor and vector type perturbation of Gauss Bonnet black holes using third order WKB approach
• Quasinormal modes of an improved Schwarzschild black hole
• Interior solutions of relativistic stars in the scale-dependent scenario

Cited by in corpus (24)

• Quasinormal ringing of regular black holes in asymptotically safe gravity: the importance of overtones
• Investigating the Connection between Generalized Uncertainty Principle and Asymptotically Safe Gravity in Black Hole Signatures through Shadow and Quasinormal Modes
• Quasinormal Modes of Black holes in $f(Q)$ gravity
• Quasinormal modes of renormalization group improved Dymnikova regular black holes
• 4D scale-dependent Schwarzschild-AdS/dS black holes: study of shadow and weak deflection angle and greybody bounding
• 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
• Superradiant instability and charged scalar quasinormal modes for $2+1$-dimensional Coulomb-like AdS black holes from nonlinear electrodynamics
• Regular charged black holes, energy conditions and quasinormal modes
• Quasinormal modes and greybody factors of symmergent black hole
• Orbits of light rays in scale-dependent gravity: Exact analytical solutions to the null geodesic equations
• Analytic formula for quasinormal modes in the near-extreme Kerr-Newman-de Sitter spacetime governed by a non-Pöschl-Teller potential
• Photonsphere, shadow, quasinormal modes, and greybody bounds of non-rotating Simpson-Visser black hole
• Quasi-normal modes and microscopic description of 2D black holes
• Evaporation of a Kerr-black-bounce by emission of scalar particles
• Construction of a traversable wormhole from a suitable embedding function
• Thermodynamics of scale-dependent Friedmann equations
• Massless Dirac Perturbations of black holes in f(Q) gravity: quasinormal modes and weak deflection angle
• An Effective Model for the Quantum Schwarzschild Black Hole: Weak Deflection Angle, Quasinormal Modes and Bounding of Greybody Factor
• Thermodynamics of high order correction for Schwarzschild-AdS black hole in non-commutative geometry
• Hawking radiation of renormalization group improved regular black holes
• ISCOs and OSCOs in the presence of a positive cosmological constant in massive gravity
• Binary X-ray sources in massive Brans-Dicke gravity
• Ringdown of a black hole sourced by a Burkert-density effective anisotropic source