Validity of the WKB Approximation in Calculating the Asymptotic Quasinormal Modes of Black Holes

Abstract

In this paper, we categorize non-rotating black hole spacetimes based on their pole structure and in each of these categories we determine whether the WKB approximation is a valid approximation for calculating the asymptotic quasinormal modes. We show that Schwarzschild black holes with the Gauss-Bonnet correction belong to the category in which the WKB approximation is invalid for calculating these modes. In this context, we further discuss and clarify some of the ambiguity in the literature surrounding the validity conditions provided for the WKB approximation.

10 pages

References in corpus (7)

• The physical interpretation of the spectrum of black hole quasinormal modes
• Stability of Lovelock Black Holes under Tensor Perturbations
• Effective Polymer Dynamics of D-Dimensional Black Hole Interiors
• A Detailed Analytic Study of the Asymptotic Quasinormal Modes of Schwarzschild-Anti De Sitter Black Holes
• Complete, Single-Horizon Quantum Corrected Black Hole Spacetime
• The Mystery of the Asymptotic Quasinormal Modes of Gauss-Bonnet Black Holes
• Highly Damped Quasinormal Modes and the Small Scale Structure of Quantum Corrected Black Hole Exteriors

Cited by in corpus (22)

• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes
• 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
• Probing hairy black holes caused by gravitational decoupling using quasinormal modes and greybody bounds
• Shadow and greybody bounding of a regular scale-dependent black hole solution
• Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes
• Quasinormal Modes and Bounding Greybody Factors of GUP-corrected Black Holes in Kalb-Ramond Gravity
• Quasinormal modes and greybody factors of symmergent black hole
• Photonsphere, shadow, quasinormal modes, and greybody bounds of non-rotating Simpson-Visser black hole
• Quasinormal Modes in Noncommutative Schwarzschild Black Holes: A Spectral Analysis
• Topological modes in stellar oscillations
• Probing the black holes in a dark matter halo of M87 using gravitational wave echoes
• Massless Dirac Perturbations of black holes in f(Q) gravity: quasinormal modes and weak deflection angle
• Violation of Hod's Conjecture and Probing it with Optical properties of a 5-D black hole in Einstein Gauss-Bonnet Bumblebee theory of gravity
• Quasinormal Modes and Greybody Factors of Charged Symmergent Black Hole
• Wave equations on the linear mass Vaidya metric
• Correction to black hole radiation due to pair annihilation
• Quasinormal Modes and Hawking Radiation Sparsity of GUP corrected Black Holes in Bumblebee Gravity with Topological Defects
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes
• Ringdown of a black hole sourced by a Burkert-density effective anisotropic source
• Quasinormal Modes of Gauss--Bonnet Black Holes via the Spectral Method: Scalar, Vector, and Tensor Perturbations