On matrix method for black hole quasinormal modes
arXiv:1902.08352 · doi:10.1088/1674-1137/43/3/035105
Abstract
In this paper, we provide a comprehensive survey of possible applications of the matrix method for black hole quasinormal modes. The proposed algorithm can generally be applied to various background metrics, and in particular, it accommodates for both analytic and numerical forms of the tortoise coordinates, as well as black hole spacetimes. Our discussions give a detailed account of different types of black hole metrics, master equations, and the corresponding boundary conditions. Besides, we argue that the method can readily be applied to cases where the master equation is a system of coupled equations. By adjusting the number of interpolation points, the present method provides a desirable degree of precision, in reasonable balance with its efficiency. The method is flexible and can easily be adopted by various distinctive physical scenarios.
References in corpus (36)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
- Quasinormal modes of black holes and black branes
- GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
- Quasi-Normal Modes of Stars and Black Holes
- Tests of general relativity with GW150914
- Quasinormal modes of black holes: from astrophysics to string theory
- Evolution of Binary Black Hole Spacetimes
- Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
- Gravitational wave extraction from an inspiraling configuration of merging black holes
- Geodesic stability, Lyapunov exponents and quasinormal modes
- 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
- Discovery of a binary AGN in the ultraluminous infrared galaxy NGC 6240 using Chandra
- Quasinormal modes and holography
- Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
- A Compact Supermassive Binary Black Hole System
- Are eikonal quasinormal modes linked to the unstable circular null geodesics?
- Quasinormal Modes of Near Extremal Black Branes
- Black-hole binaries, gravitational waves, and numerical relativity
- Late-Time Behavior of Stellar Collapse and Explosions: II. Nonlinear Evolution
- Scalar Wave Falloff in Asymptotically Anti-de Sitter Backgrounds
- The asymptotic quasinormal mode spectrum of non-rotating black holes
- Black hole quasinormal modes using the asymptotic iteration method
- Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics
- The portrait of eikonal instability in Lovelock theories
- 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
- Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics: Polar perturbations
- A Matrix Method for Quasinormal Modes: Kerr and Kerr-Sen Black Holes
- Scalar field propagation in higher dimensional black holes at a Lifshitz point
- Universal horizons and black holes in gravitational theories with broken Lorentz symmetry
- New look at black holes: Existence of universal horizons
- Scalar Quasinormal Modes of Anti-de Sitter Static Spacetime in Horava-Lifshitz Gravity with Symmetry
- Quasi-normal modes for doubly rotating black holes
Cited by in corpus (20)
- QNMs of slowly rotating Einstein-Bumblebee Black Hole
- Perturbing the perturbed: Stability of quasinormal modes in presence of a positive cosmological constant
- Quasinormal modes of black holes embedded in halos of matter
- Analog Schwarzschild black holes of Bose-Einstein condensates in a cavity: Quasinormal modes and quasibound states
- Lorentz violation induces isospectrality breaking in Einstein-Bumblebee gravity theory
- On quasinormal modes for the Vaidya metric in asymptotically anti-de Sitter spacetime
- Quasinormal Modes for Dynamical Black Holes
- Matrix method for perturbed black hole metric with discontinuity
- Scalar field perturbation around a rotating hairy black hole: quasinormal modes, quasibound states and superradiant instability
- High-order matrix method with delimited expansion domain
- Gravito-electromagnetic perturbations of MOG black holes with a cosmological constant: Quasinormal modes and Ringdown waveforms
- Perturbing the vortex: quasinormal and quasibound spectra of rotating acoustic geometries
- Dirac quasinormal modes of power-Maxwell charged black holes in Rastall gravity
- Quasinormal modes and echo effect of cylindrical anti-de Sitter black hole spacetime with a thin shell
- Ellis drainhole solution in Einstein-Æther gravity and the axial gravitational quasinormal modes
- Echoes of axial gravitational perturbations in stars of uniform density
- Qusinormal oscillations and late-time tail of massless scalar perturbations of a magnetized black hole in Rastall gravity
- Gravitational odd-parity perturbation of a Horndeski hairy black hole: quasinormal mode and parameter constraint
- Quasinormal Modes by Improved Matrix Method and Weighted Residual Method
- On quasinormal frequencies of black hole perturbations with an external source