Quasinormal frequencies of self-dual black holes

Abstract

One simplified black hole model constructed from a semiclassical analysis of loop quantum gravity (LQG) is called self-dual black hole. This black hole solution depends on a free dimensionless parameter P known as the polymeric parameter and also on the $a_0$ area related to the minimum area gap of LQG. In the limit of P and $a_0$ going to zero, the usual Schwarzschild-solution is recovered. Here we investigate the quasinormal modes (QNMs) of massless scalar perturbations in the self-dual black hole background. We compute the QN frequencies using the sixth order WKB approximation method and compare them with numerical solutions of the Regge-Wheeler equation. Our results show that as the parameter P grows, the real part of the QN frequencies suffers an initial increase and then starts to decrease while the magnitude of the imaginary one decreases for fixed area gap $a_0$. This particular feature means that the damping of scalar perturbations in the self-dual black hole spacetimes are slower, and their oscillations are faster or slower according to the value of P.

17 pages, 5 figures. Some improvements with respect to the previous version. Final version to appear in Phys. Rev. D

References in corpus (6)

• Loop Quantum Cosmology: An Overview
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• Self-dual Black Holes in LQG: Theory and Phenomenology
• Gravitational Lensing by Self-Dual Black Holes in Loop Quantum Gravity
• Emission spectra of self-dual black holes
• Stability of self-dual black holes

Cited by in corpus (40)

• Tests of Loop Quantum Gravity from the Event Horizon Telescope Results of Sgr A${}^{\ast }$
• Quasinormal modes of scale dependent black holes in (1+2)-dimensional Einstein-power-Maxwell theory
• Shadow and stability of quantum-corrected black holes
• A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes
• Thermodynamics of a class of regular black holes with a generalized uncertainty principle
• Quasinormal frequencies for a black hole in a bumblebee gravity
• Greybody factor and quasinormal modes of Regular Black Holes
• Quasi-normal modes of bumblebee wormhole
• Quasinormal modes of black holes in Einstein-power-Maxwell theory
• Gravitational signatures of a non--commutative stable black hole
• Scalar Perturbations and Stability of a Loop Quantum Corrected Kruskal Black Hole
• Stability under scalar perturbations and quasinormal modes of 4D Einstein-Born-Infeld dilaton spacetime: Exact spectrum
• Phase Transition of Charged-AdS Black Holes and Quasinormal Modes : a Time Domain Analysis
• Quasinormal modes of an improved Schwarzschild black hole
• Gravitational traces of bumblebee gravity in metric-affine formalism
• Scalar Perturbations of a Single-Horizon Regular Black Hole
• Analysis of a regular black hole in Verlinde's gravity
• Gravitational axial perturbations and quasinormal modes of loop quantum black holes
• Effects of non-commutative geometry on black hole properties
• Polar gravitational perturbations and quasinormal modes of a loop quantum gravity black hole
• Dark matter signatures of black holes with Yukawa potential
• Implications of a Simpson-Visser solution in Verlinde's framework
• Quasinormal modes of black holes with a scalar hair in Einstein-Maxwell-dilaton theory
• Quantum-corrected rotating acoustic black holes in Lorentz-violating background
• Quasinormal modes of charged black holes in higher-dimensional Einstein-power-Maxwell theory
• Black hole and cosmos with multiple horizons and multiple singularities in vector-tensor theories
• Massless Dirac Perturbations in a Consistent Model of Loop Quantum Gravity Black Hole: Quasinormal Modes and Particle Emission Rates
• Quasinormal modes of a massive scalar field nonminimally coupled to gravity in the spacetime of Self-Dual Black Hole
• Properties of an axisymmetric Lorentzian non-commutative black hole
• Non-commutativity in Hayward spacetime
• Quasinormal modes of the BTZ black hole under scalar perturbations with a non-minimal coupling: Exact spectrum
• A Survey of Strong Cosmic Censorship Conjecture Beyond Einstein's Gravity
• On black holes with scalar hairs
• Nonsingular black holes and nonsingular universes in the regularized Lovelock gravity
• Entropic corrected Newton's law of gravitation and the Loop Quantum Black Hole gravitational atom
• Correlations between emission events in Rainbow Gravity
• Quansinormal modes of static and spherically symmetric black holes with the derivative coupling
• Parameterized quasinormal frequencies and Hawking radiation for axial gravitational perturbations of a holonomy-corrected black hole
• Quadratic curvature terms and deformed Schwarzschild-de Sitter black hole analogues in the laboratory
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects