Quasinormal frequencies of a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory
arXiv:2108.09559 · doi:10.3389/fspas.2021.713422
Abstract
We numerically calculate the quasinormal frequencies of the Klein-Gordon and Dirac fields propagating in a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory. For the Klein-Gordon field we use the Horowitz-Hubeny method and the asymptotic iteration method for second order differential equations. For the Dirac field we first exploit the Horowitz-Hubeny method. As a second method, instead of using the asymptotic iteration method for second order differential equations, we propose to take as a basis its formulation for coupled systems of first order differential equations. For the two fields we find that the results that produce the two numerical methods are consistent. Furthermore for both fields we obtain that their quasinormal modes are stable and we compare their quasinormal frequencies to analyze whether their spectra are isospectral. Finally we discuss the main results.
arXiv comment36 pages. 10 figures. Invited contribution to the volume "Quasinormal Modes in Relativistic Stars and Black Holes". Published in Frontiers in Physics
References in corpus (49)
- Supersymmetry and Quantum Mechanics
- Quasinormal modes of black holes and black branes
- Quasi-Normal Modes of Stars and Black Holes
- Quasinormal modes of black holes: from astrophysics to string theory
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
- Asymptotic iteration method for eigenvalue problems
- Dilaton Gravity in Two Dimensions
- The physical interpretation of the spectrum of black hole quasinormal modes
- Two-Dimensional Black Holes and Planar General Relativity
- Scalar Wave Falloff in Asymptotically Anti-de Sitter Backgrounds
- An analytic Lifshitz black hole
- Black hole quasinormal modes using the asymptotic iteration method
- Iterative solutions to the Dirac equation
- Charged Fermions and Strong Cosmic Censorship
- Area spectra of the rotating BTZ black hole from quasinormal modes
- Greybody Radiation and Quasinormal Modes of Kerr-like Black Hole in Bumblebee Gravity Model
- Non-Existence of Time-Periodic Solutions of the Dirac Equation in a Reissner-Nordstrom Black Hole Background
- The Black Holes of a General Two-Dimensional Dilaton Gravity Theory
- Anomalous Fermion Production in Gravitational Collapse
- Dirac quasinormal frequencies in Schwarzschild-AdS space-time
- Analytical Solutions in a Cosmic String Born-Infeld-dilaton Black Hole Geometry: Quasinormal Modes and Quantization
- Scalar field perturbations in asymptotically Lifshitz black holes
- Quasinormal frequencies and thermodynamic quantities for the Lifshitz black holes
- Quasinormal modes for single horizon black holes in generic 2-d dilaton gravity
- Quasinormal Modes and Stability Criterion of Dilatonic Black Hole in 1+1 and 4+1 Dimensions
- Quasinormal modes and stability of a five-dimensional dilatonic black hole
- The Dirac particle on de Sitter background
- Quasinormal modes of stringy black holes
- Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
- Scalar perturbations of black holes in Jackiw-Teitelboim gravity
- Emission of Fermions from BTZ Black Holes
- Dirac quasinormal modes for a 4-dimensional Lifshitz Black Hole
- Ramifications of Lineland
- Quasinormal frequencies of asymptotically flat two-dimensional black holes
- Quasinormal frequencies of asymptotically anti-de Sitter black holes in two dimensions
- Area Spectrum of the Large AdS Black Hole from Quasinormal Modes
- Quasinormal modes of charged fermions in linear dilaton black hole spacetime: Exact frequencies
- The Quasinormal Modes of Quasinormal Modes
- Non-minimal scalar fields in 2D de Sitter and dilaton black holes
- Electromagnetic quasinormal modes of an asymptotically Lifshitz black hole
- Classical stability of black holes under massless Dirac perturbations
- Entropy spectrum of the D-dimensional massless topological black hole
- Quasinormal modes of a two-dimensional black hole
- Quasinormal frequencies of the Dirac field in the massless topological black hole
- Entropy spectra of single horizon black holes in two dimensions
- Quasinormal frequencies of the Dirac field in a D-dimensional Lifshitz black hole
- Fermionic quasinormal modes for two-dimensional Hořava-Lifshitz black holes
- Quasinormal modes of Dirac field perturbation in Schwarzschild-anti-de Sitter black hole