The ringing of quantum corrected Schwarzschild black hole with GUP

Abstract

Schwarzschild black holes with quantum corrections are studied under scalar field perturbations and electromagnetic field perturbations to analyze the effect of the correction term on the potential function and quasinormal mode (QNM). In classical general relativity, spacetime is continuous and there is no existence of the so-called minimal length. The introduction of the correction items of the generalized uncertainty principle (GUP), the parameter $\beta$, can change the singularity structure of the black hole gauge and may lead to discretization in time and space. We apply the sixth-order WKB method to approximate the QNM of Schwarzschild black holes with quantum corrections and perform numerical analysis to derive the results of the method. Also, we find that the effective potential and QNM in scalar fields are larger than those in electromagnetic fields.

References in corpus (52)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Binary Black Hole Mergers in the first Advanced LIGO Observing Run
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• Astrophysical Implications of the Binary Black-Hole Merger GW150914
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
• Can environmental effects spoil precision gravitational-wave astrophysics?
• The observational evidence for horizons: from echoes to precision gravitational-wave physics
• Tests for the existence of horizons through gravitational wave echoes
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Late-Time Behavior of Stellar Collapse and Explosions: II. Nonlinear Evolution
• On Quantum Deformation of the Schwarzschild Solution
• Exact solution of Kerr black hole perturbations via CFT${}_2$ and instanton counting. Greybody factor, Quasinormal modes and Love numbers
• Quantum corrected black holes: quasinormal modes, scattering, shadows
• Gravitational wave echoes from black hole area quantization
• Echoes in brane worlds: ringing at a black hole--wormhole transition
• Thermodynamics of a class of regular black holes with a generalized uncertainty principle
• Gravitational ringing of rotating black holes in higher-derivative gravity
• Echoes of compact objects: new physics near the surface and matter at a distance
• GUP Assisted Hawking Radiation of Rotating Acoustic Black Holes
• Analytical template for gravitational-wave echoes: signal characterization and prospects of detection with current and future interferometers
• Quasinormal frequencies for a black hole in a bumblebee gravity
• Quasinormal modes and shadow of a Schwarzschild black hole with GUP
• Ringing of the regular black-hole/wormhole transition
• Echoes from the braneworld black holes
• Gravitational waves and kicks from the merger of unequal mass, highly compact boson stars
• Analytical computation of quasi-normal modes of slowly-rotating black-holes in dCS gravity
• Constraints on Kerr-Newman black holes from merger-ringdown gravitational-wave observations
• Quasinormal modes of charged black holes with corrections from nonlinear electrodynamics
• Ergoregion instability and echoes for braneworld black holes: Scalar, electromagnetic and gravitational perturbations
• Gravitational axial perturbations of Schwarzschild-like black holes in dark matter halos
• Gravitational wave echoes from black holes in massive gravity
• Echoes of novel black-bounce spacetimes
• Slowly-rotating curved acoustic black holes: Quasinormal modes, Hawking-Unruh radiation and quasibound states
• Evolution of a Self-interacting Scalar Field in the spacetime of a Higher Dimensional Black Hole
• Ringing of a black hole in a dark matter halo
• Quasinormal ringing of black holes in Einstein aether theory
• Are gravitational wave ringdown echoes always equal-interval ?
• Quasinormal modes of Proca fields in a Schwarzschild-AdS spacetime
• Quasinormal modes and shadows of a new family of Ayón-Beato-Garc\'ıa black holes
• Quantum Black Hole Seismology I: Echoes, Ergospheres, and Spectra
• The generalized uncertainty principle effect in acoustic black holes
• A quantum-corrected approach to black hole radiation via a tunneling process
• Light echos and coherent autocorrelations in a black hole spacetime
• Quantum-corrected rotating acoustic black holes in Lorentz-violating background
• $2+1$ Einstein-Klein-Gordon black holes by gravitational decoupling
• Quasinormal modes of a semi-holographic black brane and thermalization
• Quasi-normal modes and Microscopic Structure of the Schwarzschild Black Hole
• Pseudospectrum of Reissner-Nordström black holes: quasinormal mode instability and universality

Cited by in corpus (6)

• Black hole perturbation theory and multiple polylogarithms
• Absorption, scattering and shadow by a noncommutative black hole with global monopole
• Quantum corrections to the quasinormal modes of the Schwarzschild black hole
• Quantum gravitational corrections to the Schwarzschild spacetime and quasinormal frequencies
• Quasinormal Modes and Gray-Body Factors for Gravitational Perturbations in Asymptotically Safe Gravity
• Scattering and absorption by extra-dimensional black holes with GUP