Bernstein spectral method for quasinormal modes of a generic black hole spacetime and application to instability of dilaton-de Sitter solution

Abstract

We present the improved Mathematica code which computes quasinormal frequencies with the help of the Bernstein spectral method for a general class of black holes, allowing for asymptotically flat, de Sitter or anti-de Sitter asymptotic. The method is especially efficient when searching for purely imaginary and unstable modes and here it is used for detecting the instability region of a charged scalar field in the background of the charged asymptotically de Sitter dilatonic black hole. We show that the instability has superradiant nature and the dilaton field essentially influences the region of instability.

9 pages, 2 figures, 2 ancillary files

References in corpus (17)

• Viscosity, Black Holes, and Quantum Field Theory
• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Mining information from binary black hole mergers: a comparison of estimation methods for complex exponentials in noise
• An instability of higher-dimensional rotating black holes
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
• Quasinormal modes of D-dimensional de Sitter spacetime
• Charged scalar field instability between the event and cosmological horizons
• A scalar field condensation instability of rotating anti-de Sitter black holes
• Gravitational instability of simply rotating AdS black holes in higher dimensions
• Superradiant instability of charged massive scalar field in Kerr-Newman-anti-de Sitter black hole
• Nonoscillatory gravitational quasinormal modes and telling tails for Schwarzschild-de Sitter black holes
• Looking at the Gregory-Laflamme instability through quasi-normal modes
• Phase transitions and regions of stability in Reissner-Nordström holographic superconductors
• Analytic formula for quasinormal modes in the near-extreme Kerr-Newman-de Sitter spacetime governed by a non-Pöschl-Teller potential
• How general is the strong cosmic censorship bound for quasinormal modes?
• Dilatonic (Anti-)de Sitter Black Holes and Weak Gravity Conjecture

Cited by in corpus (11)

• Quasinormal Modes of Black holes in $f(Q)$ gravity
• Quasinormal modes of renormalization group improved Dymnikova regular black holes
• Quasinormal spectrum of $(2+1)$-dimensional asymptotically flat, dS and AdS black holes
• Asymptotic decay and quasinormal frequencies of scalar and Dirac fields around dilaton-de Sitter black holes
• Quasinormal Ringing and Shadows of Black Holes and Wormholes in Dark Matter-Inspired Weyl Gravity
• Dymnikova black hole from an infinite tower of higher-curvature corrections
• Quasinormal Modes of Dilaton Black Holes: Analytic approximations
• Motions of Test Particles in Gravitational Field, Perturbations and Greybody Factor of Bardeen-like AdS Black Hole with Phantom Global Monopoles
• Overtones' outburst of asymptotically AdS black holes
• Analytic Computation of Dilaton Black Hole Quasinormal Modes via Seiberg-Witten Theory
• Reissner-Nordström black holes in de Sitter space-time: bounds with quasinormal frequencies