Quasinormal modes of maximally charged black holes

Abstract

A new algorithm for computing the accurate values of quasinormal frequencies of extremal Reissner-Nordström black holes is presented. The numerically computed values are consistent with the values earlier obtained by Leaver and those obtained through the WKB method. Our results are more precise than other results known to date. We also find a curious fact that the resonant frequencies of gravitational waves with multi-pole index $l$ coincide with those of electromagnetic waves with multi-pole index $l-1$ in the extremal limit.

17 pages, 2 eps figures

Cited by in corpus (72)

• Quasinormal modes of black holes and black branes
• Quasinormal modes of black holes: from astrophysics to string theory
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Quasinormal modes of black holes. The improved semianalytic approach
• Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
• Gravitational quasinormal radiation of higher-dimensional black holes
• Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
• A detailed study of quasinormal frequencies of the Kerr black hole
• Quantum oscillations and black hole ringing
• Black holes and gravitational waves in models of minicharged dark matter
• Quasi normal modes in Schwarzschild-DeSitter spacetime: A simple derivation of the level spacing of the frequencies
• Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
• Quasinormal modes of black holes and Borel summation
• Gravito-Electromagnetic Perturbations of Kerr-Newman Black Holes: Stability and Isospectrality in the Slow-Rotation Limit
• Shear Modes, Criticality and Extremal Black Holes
• Asymptotic quasinormal modes of Reissner-Nordström and Kerr black holes
• Scalar, Electromagnetic and Gravitational Perturbations of Kerr-Newman Black Holes in the Slow-Rotation Limit
• On an Expansion Method for Black Hole Quasinormal Modes and Regge Poles
• Decay of a charged scalar and Dirac fields in the Kerr-Newman-de Sitter background
• Quasinormal modes of a black hole in the deformed Hořava-Lifshitz gravity
• The Quasinormal Modes of Weakly Charged Kerr-Newman Spacetimes
• Quasinormal modes of hot, cold and bald Einstein-Maxwell-scalar black holes
• Quasinormal modes of nearly extreme Reissner-Nordstrom black holes
• Quasinormal modes of extremal black holes
• Hyperboloidal slicing approach to quasi-normal mode expansions: the Reissner-Nordström case
• Quasinormal modes of black holes in Einstein-power-Maxwell theory
• Quasinormal modes of charged fields around a Reissner-Nordström black hole
• Electromagnetic quasinormal modes of D-dimensional black holes
• Conserved currents for Kerr and orthogonality of quasinormal modes
• Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds
• Superradiant Instability of Near Extremal and Extremal Four-Dimensional Charged Hairy Black Hole in anti-de Sitter Spacetime
• Scattering from charged black holes and supergravity
• Ergoregion instability: The hydrodynamic vortex
• Quasinormal modes in extremal Reissner-Nordström spacetimes
• Noncommutative scalar field in the non-extremal Reissner-Nordström background: QNM spectrum
• Synchronous frequencies of extremal Kerr black holes: resonances, scattering and stability
• Scalar hairy black holes in Einstein-Maxwell-conformally coupled scalar theory
• Gravitational atoms in the braneworld scenario
• High-order matrix method with delimited expansion domain
• Scalar/Dirac perturbations of the Reissner-Nordström black hole and Painlevé transcendents
• Exceptional point and hysteresis in perturbations of Kerr black holes
• Neutrino quasinormal modes of the Reissner-Nordström black hole
• Gravitoelectromagnetic coupled perturbations and quasinormal modes of a charged black hole with scalar hair
• Can we distinguish black holes with electric and magnetic charges from quasinormal modes?
• One-Loop Supergravity Corrections to the Black Hole Entropy and Residual Supersymmetry
• Massive scalar perturbations in Kerr Black Holes: near extremal analysis
• The Reissner-Nordström black hole with the fastest relaxation rate
• Bounce corrections to gravitational lensing, quasinormal spectral stability and gray-body factors of Reissner-Nordström black holes
• Quasinormal modes of the polytropic hydrodynamic vortex
• The Highly Damped Quasinormal Modes of Extremal Reissner-Nordström and Reissner-Nordström-de Sitter Black Holes
• On scattering off the extreme Reissner-Nordström black hole in N=2 supergravity
• Extreme Dilaton Black Holes in 2 +1 Dimensions: Quasinormal modes
• Ergoregion instability of a rotating quantum system
• Quasinormal mode spectra for odd parity perturbations in spacetimes with smeared matter sources
• Near-$Ad{S}_2$ perturbations and the connection with near-extreme Reissner-Nordstrom
• Gravitational and electromagnetic signatures of accretion into a charged black hole
• Scattering and conversion of electromagnetic and gravitational waves by Reissner-Nordström black holes: The Regge pole description
• Holographic Coulomb Branch Solitons, Quasinormal Modes, and Black Holes
• More on the SW-QNM correspondence
• Hidden Supersymmetry in Dirac Fermion Quasinormal Modes of Black Holes
• Quasinormal frequencies using the hidden conformal symmetry of the Schwarzschild black hole
• Quasinormal modes for integer and half-integer spins within the large angular momentum limit
• Spectral instability of horizonless compact objects within astrophysical environments
• Quasinormal modes for the charged Vaidya metric
• Color Superconductivity, Fermionic Quasinormal Modes in Reissner-Nordström-anti-de Sitter Spacetimes and Supersymmetry
• Pseudospectrum of Reissner-Nordström black holes: quasinormal mode instability and universality
• Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores
• Quasinormal mode frequencies of Kerr black holes from Regge trajectories
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes
• Stable and decaying bound states on the naked Reissner-Nordström background
• Quasinormal Modes of Extremal Reissner-Nordstrom Black Holes via Seiberg-Witten Quantization
• Spectral Problems for Quasinormal Modes of Black Holes