Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach

Abstract

We study characteristic (quasinormal) modes of a $D$-dimensional Schwarzshild black hole. It proves out that the real parts of the complex quasinormal modes, representing the real oscillation frequencies, are proportional to the product of the number of dimensions and inverse horizon radius $\sim D{r}_0^{-1}$. The asymptotic formula for large multipole number $l$ and arbitrary $D$ is derived. In addition the WKB formula for computing QN modes, developed to the 3rd order beyond the eikonal approximation, is extended to the 6th order here. This gives us an accurate and economic way to compute quasinormal frequencies.

15 pages, 6 figures, the 6th order WKB formula for computing QNMs in Mathematica is available from https://goo.gl/nykYGL

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• Causality and quasi-normal modes in the GREFT
• Scalar fields around a rotating loop quantum gravity black hole: Waveform, quasi-normal modes and superradiance
• Black Hole Perturbations and Quasinormal Modes in Hybrid Metric-Palatini Gravity
• Quasinormal Modes of the Generalized Ayón-Beato-Garc\'ıa Scalar-Tensor-Vector Gravity Black Hole in the Scalar-Tensor-Vector Gravity
• Schwarzschild black hole surrounded by a cloud of strings in the background of perfect fluid dark matter
• General parametrization of higher-dimensional black holes and its application to Einstein-Lovelock theory
• Scalar and spinor quasinormal modes of an $f(R)$ global monopole
• Physics Beyond the Standard Model: Exotic Leptons and Black Holes at Future Colliders
• Quasinormal Modes and Late-Time Tails of Canonical Acoustic Black Holes
• Quasinormal modes of Rarita-Schwinger field in Reissner-Nordström black hole spacetimes
• Quasinormal modes, Hawking radiation and absorption of the massless scalar field for Bardeen black hole surrounded by perfect fluid dark matter
• Overtones' outburst and Hawking evaporation of Kazakov-Solodukhin quantum corrected black hole
• Slowly damped quasinormal modes of the massive Dirac field in d-dimensional Tangherlini spacetime
• Perturbations of Black p-Branes
• Geodesics and scalar perturbations of Schwarzschild black holes embedded in a Dehnen-type dark matter halo with quintessence
• Remarks on a nonlinear electromagnetic extension in AdS Reissner-Nordström spacetime
• Influence of dark matter equation of state on the axial gravitational ringing of supermassive black holes
• The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation
• Quasinormal modes and echo effect of cylindrical anti-de Sitter black hole spacetime with a thin shell
• Quasinormal modes of the BTZ black hole under scalar perturbations with a non-minimal coupling: Exact spectrum
• Dirac quasinormal modes of power-Maxwell charged black holes in Rastall gravity
• Quasinormal Modes of Lovelock Black Holes
• Strong cosmic censorship conjecture with NUT charge and conformal coupling
• Bounce corrections to gravitational lensing, quasinormal spectral stability and gray-body factors of Reissner-Nordström black holes
• Stability of generalized Einstein-Maxwell-scalar black holes
• Fermions Analysis of IR modified Horava-Lifshitz gravity: Tunneling and Perturbation Perspectives
• Quasinormal modes of black holes encircled by a gravitating thin disk
• Quantum-corrected Schwarzschild AdS black hole surrounded by quintessence: Thermodynamics and Shadows
• Multiply-warped product metrics and reduction of Einstein equations
• Perturbations of Schwarzschild black holes in laboratories
• Quasinormal modes of loop quantum black holes near the Planck scale
• Highly-damped quasi-normal frequencies for piecewise Eckart potentials
• Analytic calculation of quasi-normal modes
• Black Hole Greybody Factors from Korteweg-de Vries Integrals: Computation
• Gravitational signatures of a nonlinear electrodynamics in $f(R,T)$ gravity
• Echoes of charged black-bounce spacetimes
• The ringing of quantum corrected Schwarzschild black hole with GUP
• Acoustic regular black hole in fluid and its similarity and diversity to a conformally related black hole
• The correspondence between shadow and test field in a four-dimensional charged Einstein-Gauss-Bonnet black hole
• Hunting for extra dimensions in black hole shadows
• Quasi normal modes and the area spectrum of a near extremal de Sitter black hole with conformally coupled scalar field
• Ellis drainhole solution in Einstein-Æther gravity and the axial gravitational quasinormal modes
• Quasinormal modes of the Bardeen black hole with a cloud of strings
• The Highly Damped Quasinormal Modes of Extremal Reissner-Nordström and Reissner-Nordström-de Sitter Black Holes
• Quasinormal modes for Weyl neutrino field in R-N black holes
• Circumventing Quantum Gravity: Black Holes Evaporating into Macroscopic Wormholes
• Quasinormal Modes and Gray-Body Factors for Gravitational Perturbations in Asymptotically Safe Gravity
• Black holes in massive gravity: quasinormal modes of Dirac field perturbations
• Echoes of axial gravitational perturbations in stars of uniform density
• Distinct thermodynamic and dynamic effects produced by scale factors in conformally related Einstein-power-Yang-Mills black holes
• Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity
• Gravitational Spectra and Wave Propagation in Regular Black Holes Supported by a Dehnen Halo
• Analytical proof of the isospectrality of quasinormal modes for Schwarzschild-de Sitter and Schwarzschild-Anti de Sitter spacetimes
• Eikonal quasinormal modes, photon sphere and shadow of a charged black hole in the 4D Einstein-Gauss-Bonnet gravity
• Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole
• Analysis of a nonlinear electromagnetic generalization of the Reissner-Nordström black hole
• Quasinormal modes of a charged loop quantum black hole
• Overtones behavior of higher dimensional black holes in the Einstein-Gauss-Bonnet gravity
• Motion of charged particles and quasinormal modes around the magnetically and tidally deformed black hole
• Strong Cosmic Censorship in Einstein-Maxwell-Scalar-Gauss-Bonnet Theory
• Perturbative calculation of quasi-normal modes of arbitrary spin in Schwarzschild spacetime
• N-dimensional Vaidya metric with cosmological constant in double-null coordinates
• Quasi-normal modes and absorption probabilities of spin-3/2 fields in $D$-dimensional Reissner-Nordström black hole spacetimes
• Double shadow of a 4D Einstein-Gauss-Bonnet black hole and their connection between with quasinormal modes
• Qusinormal oscillations and late-time tail of massless scalar perturbations of a magnetized black hole in Rastall gravity
• Ringdown spectroscopy of phenomenologically modified black holes
• Scalar Quasi-Normal Modes of a Loop Quantum Black Hole
• Hyperentropic systems and the generalized second law of thermodynamics
• Quasinormal mode spectra for odd parity perturbations in spacetimes with smeared matter sources
• Topological Mod(A)Max AdS black holes
• Probing extra dimensions with higher dimensional black hole analogues?
• A note on quasinormal modes: A tale of two treatments
• Numerical computation of quasinormal modes in the first-order approach to black hole perturbations in modified gravity
• Hawking radiation of renormalization group improved regular black holes
• Grey-body factors of higher dimensional regular black holes in quasi-topological theories
• Fermion perturbations in string-theory black holes
• Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes
• The fastest relaxation rate of higher-dimensional Reissner--Nordström black hole
• Quansinormal modes of static and spherically symmetric black holes with the derivative coupling
• Inverse problem in energy-dependent potentials using semiclassical methods
• Quasinormal modes of semiclassical electrically charged black holes
• Absorption cross section of regular black holes in scalar-tensor conformal gravity
• Quantum geometry and black holes
• Parameterized quasinormal frequencies and Hawking radiation for axial gravitational perturbations of a holonomy-corrected black hole
• Black holes and nilmanifolds: quasinormal modes as the fingerprints of extra dimensions?
• Testing black holes in a perfect fluid dark matter environment using quasinormal modes
• Scalar tachyonic instabilities in gravitational backgrounds: Existence and growth rate
• Perturbations of Black Holes Surrounded by Anisotropic Matter Field
• Quasinormal modes of $p$-forms in spherical black holes
• Noncommutative quasinormal modes of Schwarzschild black hole
• Electromagnetic perturbations of a de Sitter black hole in massive gravity
• Quasinormal Modes by Improved Matrix Method and Weighted Residual Method
• The Quasinormal Modes and Isospectrality of Bardeen (Anti-) de Sitter Black Holes
• Perturbations of the Gravitational Energy in the TEGR: Quasinormal Modes of the Schwarzschild Black Hole
• Decay of charged fields in de Sitter spacetime
• Relaxation rate of RNdS black hole
• A new (original) set of Quasi-normal modes in spherically symmetric AdS black hole spacetimes
• Correspondence between quasinormal modes and grey-body factors in five-dimensional black holes
• Aspects of General Relativity: Pseudo-Finsler extensions, Quasi-normal frequencies and Multiplication of tensorial distributions
• On Born approximation in black hole scattering
• Correspondence between quasinormal modes and grey-body factors of Schwarzschild--Tangherlini black holes
• The static charged black holes with Weyl corrections
• Perturbations of massless external fields on magnetically charged black holes in string-inspired Euler-Heisenberg theory
• Black holes surrounded by massive vector fields in Kaluza-Klein gravity
• Quasinormal modes for integer and half-integer spins within the large angular momentum limit
• Gravitino perturbations in Schwarzschild black holes
• Black Holes and Wormholes in Higher-Curvature Corrected Theories of Gravity
• Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other Questions
• Quasinormal Modes and Shadows of Black Holes in Infinite Derivative Theory of Gravity
• Greybody factors of charged black holes with axion hair
• Quantum Oppenheimer-Snyder models in loop quantum cosmology with Lorentz term
• Scalar, electromagnetic, and Dirac perturbations of regular black holes constituting primordial dark matter
• Scalar field propagation in braneworld black hole scenario obtained from Nash theorem
• Scattering of axial gravitational wave pulses by monopole black holes and QNMs
• Optical, Dynamic and Topological Characteristics of Deformed Schwarzschild Black Holes
• Imprints of non-commutativity on charged black holes
• Quasinormal modes of unparticle black holes
• Shadow and near-horizon characteristics of the acoustic charged black hole in curved spacetime
• Object picture, quasinormal modes and late time tails of fermion perturbations in stringy black hole with U(1) charges
• Echoes and quasinormal modes of asymmetric black bounces
• Probing black holes via quasinormal modes in a dark energy-induced dark matter
• QNM families: classification and competition
• Analytical treatment of SUSY Quasi-normal modes in a non-rotating Schwarzschild black hole
• Quasinormal modes of the Hayward black hole surrounded by quintessence: scalar, electromagnetic and gravitational perturbations
• Thermodynamics and Quasinormal modes of Park black hole in Hořava gravity
• Quasi Normal Modes of Ayon-Beato Garcia Regular Black Holes For Scalar Field
• Absorption and scattering of a high dimensional noncommutative black hole
• Quasinormal Modes and Hawking Radiation Sparsity of GUP corrected Black Holes in Bumblebee Gravity with Topological Defects
• Scattering on Quasi-Spherical Black-Holes: Features and Beyond
• Quasinormal mode frequencies of Kerr black holes from Regge trajectories
• Absorption and scattering of massless scalar waves by black holes in quasi-topological gravity
• Quasinormal modes and greybody factors of magnetically charged de Sitter black holes probed by massless external fields in Einstein Euler Heisenberg gravity
• Ringdown of a black hole sourced by a Burkert-density effective anisotropic source
• Spin effects on particle creation and evaporation in $f(R,T)$ gravity
• Critical masses and numerical computation of massive scalar quasinormal modes in Schwarzschild black holes
• Greybody factors of Proca fields in Schwarzschild spacetime: A supplemental analysis based on decoupled master equations related to the Frolov-Krtouš-Kubizňák-Santos separation
• Notes on Quasinormal Modes of charged de Sitter Blackholes from Quiver Gauge Theories
• Quasinormal Modes of Asymptotically (A)dS Black Hole in Lovelock Background
• Non-minimal matter sector couplings in Lorentz-violating gravity: Self-consistent traversable wormholes and quasinormal modes
• Analytic Computation of Dilaton Black Hole Quasinormal Modes via Seiberg-Witten Theory
• Sources of matter for wormholes in a k-essence theory
• On the effect of scalar fields on Hawking radiation and quasinormal modes of black holes
• Quasinormal Modes of Near-Extremal Black Holes and Black Strings in Massive Gravity Background
• Spectral Problems for Quasinormal Modes of Black Holes
• Extended geometry of Gambini-Olmedo-Pullin polymer black hole and its quasinormal spectrum
• Quasinormal-mode analysis of a massive scalar field in a Schwarzschild background via the spectral method
• Effective Field Theory of Hairy Black Holes and Their flat/dS limit
• Reissner-Nordström black holes in de Sitter space-time: bounds with quasinormal frequencies