Quasinormal modes of Kerr black holes using a spectral decomposition of the metric perturbations

Abstract

We report a new method to calculate the quasinormal modes of rotating black holes, using a spectral decomposition to solve the partial differential equations that result from introducing linear metric perturbations to a rotating background. Our approach allows us to calculate a large sector of the quasinormal mode spectrum. In particular, we study the accuracy of the method for the $(l=2)$-led and $(l=3)$-led modes for different values of the $M_z$ azimuthal number, considering the fundamental modes as well as the first two excitations. We show that our method reproduces the Kerr fundamental modes with an accuracy of $10^{-6}$ or better for $a/M<0.8$, while it stays below $0.1\%$ for $a/M<0.98$.

18 pages, 5 figures. v2: Minor changes to match published version

References in corpus (26)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Science Case for the Einstein Telescope
• Are black holes in alternative theories serious astrophysical candidates? The case for Einstein-Dilaton-Gauss-Bonnet black holes
• Modified Gravity and Cosmology: An Update by the CANTATA Network
• Quasinormal modes of Einstein-Gauss-Bonnet-dilaton black holes
• Quasinormal modes, scattering and Hawking radiation in the vicinity of Einstein-dilaton-Gauss-Bonnet black hole
• Quasi-normal modes of rotating black holes in Einstein-dilaton Gauss-Bonnet gravity: the first order in rotation
• Axial perturbations of the scalarized Einstein-Gauss-Bonnet black holes
• Linear mode stability of Kerr-Newman and its quasinormal modes
• Gravitational ringing of rotating black holes in higher-derivative gravity
• Perturbations of spinning black holes beyond General Relativity: Modified Teukolsky equation
• Quasinormal modes of slowly-rotating black holes in dynamical Chern-Simons gravity
• QNMs of slowly rotating Einstein-Bumblebee Black Hole
• Ringing of rotating black holes in higher-derivative gravity
• Polar quasinormal modes of the scalarized Einstein-Gauss-Bonnet black holes
• The universal Teukolsky equations and black hole perturbations in higher-derivative gravity
• Quasi-normal modes of rotating black holes in Einstein-dilaton Gauss-Bonnet gravity: the second order in rotation
• Quasinormal modes of Dirac field in the Einstein-dilaton-Gauss-Bonnet and Einstein-Weyl gravities
• Fast Rotating Relativistic Stars: Spectra and Stability without Approximation
• Eigenvalue repulsions in the quasinormal spectra of the Kerr-Newman black hole
• Spectral Method for the Gravitational Perturbations of Black Holes: Schwarzschild Background Case
• Dynamics of Fast Rotating Neutron Stars: An Approach in the Hilbert Gauge
• Quasi-normal modes of non-separable perturbation equations: the scalar non-Kerr case
• Fast Rotating Neutron Stars: Oscillations and Instabilities
• Quasi-Normal Modes of Hairy Scalar Tensor Black Holes: Odd Parity
• Quasinormal modes of slowly rotating Kerr-Newman black holes using the double series method

Cited by in corpus (13)

• The Science of the Einstein Telescope
• Quasinormal mode frequencies and gravitational perturbations of spinning black holes in modified gravity through METRICS: The dynamical Chern-Simons gravity case
• Quasinormal modes of rapidly rotating Einstein-Gauss-Bonnet-dilaton black holes
• Quasinormal modes of rapidly rotating Ellis-Bronnikov wormholes
• Quasinormal Modes in Modified Gravity using Physics-Informed Neural Networks
• Quasinormal mode spectrum of rotating black holes in Einstein-Gauss-Bonnet-dilaton theory
• Quasinormal modes of rotating black holes in shift-symmetric Einstein-scalar-Gauss-Bonnet theory
• Radial perturbations of Ellis-Bronnikov wormholes in slow rotation up to second order
• Scalar Quasinormal Modes of Rotating Regular Black Holes
• Theory-agnostic searches for non-gravitational modes in black hole ringdown
• Natural polynomials for Kerr quasi-normal modes
• Stationary Einstein-vector-Gauss-Bonnet black holes
• Radial perturbations of charged wormholes