The Quasinormal Modes and Isospectrality of Bardeen (Anti-) de Sitter Black Holes

Abstract

Black holes (BHs) exhibiting coordinate singularities but lacking essential singularities throughout the entire spacetime are referred to as regular black holes (RBHs). The initial formulation of RBHs was presented by Bardeen, who considered the Einstein equation coupled with a nonlinear electromagnetic field. In this study, we investigate the gravitational perturbations, including the axial and polar sectors, of the Bardeen (Anti-) de Sitter black holes. We derive the master equations with source terms for both axial and polar perturbations, and subsequently compute the quasinormal modes (QNMs) through numerical methods. For the Bardeen de Sitter black hole, we employ the 6th-order WKB approach. The numerical results reveal that the isospectrality is broken in this case. Conversely, for Bardeen Anti-de Sitter black holes, the QNM frequencies are calculated by using the HH method.

arXiv comment12 pages, 6 figures, 4 tables

References in corpus (33)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Formation and evaporation of non-singular black holes
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• The Bardeen Model as a Nonlinear Magnetic Monopole
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Regular phantom black holes
• Quasinormal modes of black holes. The improved semianalytic approach
• Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations
• The physical interpretation of the spectrum of black hole quasinormal modes
• Production of $\Sigma (1385{)}^{\pm }$ and $\Xi (1530{)}^0$ in proton-proton collisions at $\sqrt{s}=$ 7 TeV
• Quasinormal modes of regular black holes
• Scalar Wave Falloff in Asymptotically Anti-de Sitter Backgrounds
• Regular black holes: A short topic review
• Quasinormal Modes of Bardeen Black Hole: Scalar Perturbations
• New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
• Stability properties of black holes in self-gravitating nonlinear electrodynamics
• Regular (2+1)-dimensional black holes within non-linear Electrodynamics
• Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics
• Bardeen-de Sitter black holes
• Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics: Polar perturbations
• Dirac quasinormal modes in spherically symmetric regular black holes
• Light rings and long-lived modes in quasi-black hole spacetimes
• On Quasinormal Modes for Gravitational Perturbations of Bardeen Black Hole
• Imprints of dark matter on gravitational ringing of supermassive black holes
• Gauge Invariant Perturbations of the Schwarzschild Spacetime
• Gauge Invariant Perturbations of General Spherically Symmetric Spacetimes
• Black holes in nonlinear electrodynamics: quasi-normal spectra and parity splitting

Cited by in corpus (3)

• From regular black holes to horizonless objects: quasi-normal modes, instabilities and spectroscopy
• Gravito-electromagnetic perturbations of MOG black holes with a cosmological constant: Quasinormal modes and Ringdown waveforms
• Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other Questions