Quasinormal Modes by Improved Matrix Method and Weighted Residual Method
arXiv:2306.07782 · doi:10.1088/1402-4896/ad46c5
Abstract
This work discusses the Improved Matrix Method and Weighted Residual Method for studying the quasinormal modes (QNMs) of black holes. In the first method, by utilizing Jordan decomposition, the improved matrix method avoids the calculation of inverse matrices in the original matrix method. This significantly saves computational resources and time needed to compute the coefficient square matrices of the derivatives. In the second method, we illustrate the effectiveness of the weighted residual method in QNMs calculations by using the collocation method and Galerkin method as examples. We compared the results of both methods with the Generalized Horowitz-Hubeny Method and the WKB approximation. The methods proposed in this paper demonstrates superior precision. Additionally, we provide five criteria to exclude extraneous roots from the methods.
References in corpus (23)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Advanced Virgo: a 2nd generation interferometric gravitational wave detector
- Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
- GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
- GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
- GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
- Binary Black Hole Mergers in the first Advanced LIGO Observing Run
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
- 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
- Black hole quasinormal modes using the asymptotic iteration method
- A Matrix Method for Quasinormal Modes: Schwarzschild Black Holes in Asymptotically Flat and (Anti-) de Sitter Spacetimes
- Stability Analysis and Area Spectrum of 3-Dimensional Lifshitz Black Holes
- A Matrix Method for Quasinormal Modes: Kerr and Kerr-Sen Black Holes
- On matrix method for black hole quasinormal modes
- Scalar field propagation in higher dimensional black holes at a Lifshitz point
- A Semi-analytic Study of Axial Perturbations of Ultra Compact Stars
- Quasinormal Modes for Dynamical Black Holes
- Quasi-normal modes for doubly rotating black holes
- High-order matrix method with delimited expansion domain
- Quasinormal modes and echo effect of cylindrical anti-de Sitter black hole spacetime with a thin shell
- Quasinormal modes and thermodynamical aspects of the 3D Lifshitz black hole