Axial gravitational quasinormal modes of a self-dual black hole in loop quantum gravity

Abstract

We study the axial gravitational quasinormal modes of a self-dual black hole in loop quantum gravity. Considering the axial perturbation of the background spacetime, we obtain the Schrödinger-like master equation. Then we calculate the quasinormal frequencies with the Wentzel-Kramers-Brillouin approximation and the asymptotic iteration method. We also investigate the numerical evolution of an initial wave packet on the self-dual black hole spacetime. We find the quantum correction parameter $P$ positively affects the absolute values of both the real and imaginary parts of quasinormal frequencies. We derive the relation between the parameters of the circular null geodesics and quasinormal frequencies in the eikonal limit for the self-dual black hole, and numerically verify this relation.

arXiv comment14 pages, 3 figures, 5 tables

References in corpus (50)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• Quasinormal modes of black holes and black branes
• Quasi-Normal Modes of Stars and Black Holes
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Tests of general relativity with GW150914
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• Quasinormal modes of black holes: from astrophysics to string theory
• 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
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• Geodesic stability, Lyapunov exponents and quasinormal modes
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
• Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric
• Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
• First Sagittarius A* Event Horizon Telescope Results. V. Testing Astrophysical Models of the Galactic Center Black Hole
• First Sagittarius A* Event Horizon Telescope Results. III: Imaging of the Galactic Center Supermassive Black Hole
• 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
• First Sagittarius A* Event Horizon Telescope Results. II. EHT and Multi-wavelength Observations, Data Processing, and Calibration
• First Sagittarius A* Event Horizon Telescope Results. IV. Variability, Morphology, and Black Hole Mass
• Are eikonal quasinormal modes linked to the unstable circular null geodesics?
• Space-Time Structure of Loop Quantum Black Hole
• Shadow and Quasinormal Modes of a Rotating Loop Quantum Black Hole
• The Gravitational-Wave Physics
• Parametrized black hole quasinormal ringdown. I. Decoupled equations for nonrotating black holes
• Quasinormal modes of Schwarzschild black holes in four and higher dimensions
• Parametrized black hole quasinormal ringdown. II. Coupled equations and quadratic corrections for nonrotating black holes
• The Gravitational-Wave Physics II: Progress
• Fast Radio Bursts and White Hole Signals
• Self-dual Black Holes in LQG: Theory and Phenomenology
• A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes
• Breit-Wigner resonances and the quasinormal modes of anti-de Sitter black holes
• Gravitational Lensing by Self-Dual Black Holes in Loop Quantum Gravity
• Gravitational perturbations of non-singular black holes in conformal gravity
• Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the Galactic Center
• Gravitational axial perturbations and quasinormal modes of loop quantum black holes
• Constraining modifications of black hole perturbation potentials near the light ring with quasinormal modes
• Observational tests of the self-dual spacetime in loop quantum gravity
• Quasinormal modes of self-dual black holes in loop quantum gravity
• Polar gravitational perturbations and quasinormal modes of a loop quantum gravity black hole
• Entropy of black holes with arbitrary shapes in loop quantum gravity
• Quasinormal modes of a massive scalar field nonminimally coupled to gravity in the spacetime of Self-Dual Black Hole
• Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics

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