Ringing of rotating black holes in higher-derivative gravity

Abstract

We compute scalar quasinormal mode (QNM) frequencies in rotating black hole solutions of the most general class of higher-derivative gravity theories, to quartic order in the curvature, that reduce to General Relativity for weak fields and are compatible with its symmetries. The wave operator governing the QNMs is not separable, but we show one can extract the QNM frequencies by a projection onto the set of spheroidal harmonics. We have obtained accurate results for the quasinormal frequency corrections relative to Kerr for rotating black holes with dimensionless spins up to $\sim 0.7$. We also discuss to what extent our results carry over to the phenomenologically more relevant case of gravitational QNMs. Finally we provide an ancillary computational package that allows one to generalize our calculations to any effective energy-momentum tensor arising from higher-derivative terms in the effective action.

62 pages, 13 figures. Computational package provided in the ancillary files. v2: matches published version

References in corpus (13)

• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation
• Rotating Black Holes in Dilatonic Einstein-Gauss-Bonnet Theory
• Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
• Slowly-Rotating Black Holes in Einstein-Dilaton-Gauss-Bonnet Gravity: Quadratic Order in Spin Solutions
• Quasinormal modes of Einstein-Gauss-Bonnet-dilaton black holes
• The Quasinormal Mode Spectrum of a Kerr Black Hole in the Eikonal Limit
• Parametrized ringdown spin expansion coefficients: a data-analysis framework for black-hole spectroscopy with multiple events
• The Quasinormal Modes of Weakly Charged Kerr-Newman Spacetimes
• Slowly rotating black holes in Einsteinian cubic gravity
• Probing beyond-Kerr spacetimes with inspiral-ringdown corrections to gravitational waves
• Probing Einstein-dilaton Gauss-Bonnet Gravity with the inspiral and ringdown of gravitational waves
• Quasinormal Modes Beyond Kerr

Cited by in corpus (57)

• Spin-induced black hole scalarization in Einstein-scalar-Gauss-Bonnet theory
• Improved gravitational-wave constraints on higher-order curvature theories of gravity
• Constraints on quasi-normal-mode frequencies with LIGO-Virgo binary-black-hole observations
• Quasi-normal modes of rotating black holes in Einstein-dilaton Gauss-Bonnet gravity: the first order in rotation
• The Science of the Einstein Telescope
• From amplitudes to gravitational radiation with cubic interactions and tidal effects
• 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
• Black-hole ringdown as a probe of higher-curvature gravity theories
• Black Hole Gravitational Waves in the Effective Field Theory of Gravity
• The universal Teukolsky equations and black hole perturbations in higher-derivative gravity
• Analytical computation of quasi-normal modes of slowly-rotating black-holes in dCS gravity
• An approach to computing spectral shifts for black holes beyond Kerr
• Enhancing modified gravity detection from gravitational-wave observations using the Parametrized ringdown spin expansion coefficients formalism
• Hawking radiation by spherically-symmetric static black holes for all spins: I -- Teukolsky equations and potentials
• Nonlinear/non-iterative treatment of EFT-motivated gravity
• Eikonal quasinormal modes and shadow of string-corrected $d$-dimensional black holes
• Quasi-normal mode frequencies and gravitational perturbations of black holes with any subextremal spin in modified gravity through METRICS: the scalar-Gauss-Bonnet gravity case
• Causality Constraints on Black Holes beyond GR
• Eikonal quasinormal modes of black holes beyond general relativity III: scalar Gauss-Bonnet gravity
• Effective Field Theory for the Perturbations of a Slowly Rotating Black Hole
• Bayesian Metric Reconstruction with Gravitational Wave Observations
• The Lunar Gravitational-wave Antenna: Mission Studies and Science Case
• Searching for ringdown higher modes with a numerical relativity-informed post-merger model
• Spectral method for metric perturbations of black holes: Kerr background case in general relativity
• Perturbations and Quasinormal Modes of the Dirac Field in Effective Quantum Gravity
• Object picture of scalar field perturbation on Kerr black hole in scalar-Einstein-Gauss-Bonnet theory
• Gravitational Collapse in Cubic Horndeski Theories
• Theory-agnostic Reconstruction of Potential and Couplings from Quasi-Normal Modes
• Black Hole Multipoles in Higher-Derivative Gravity
• Numerical Black Hole Solutions in Modified Gravity Theories: Axial Symmetry Case
• Constraining modifications of black hole perturbation potentials near the light ring with quasinormal modes
• Quasinormal modes of Kerr black holes using a spectral decomposition of the metric perturbations
• Quasi-normal modes of non-separable perturbation equations: the scalar non-Kerr case
• Systematic biases due to waveform mismodeling in parametrized post-Einsteinian tests of general relativity: The impact of neglecting spin precession and higher modes
• Eikonal quasinormal modes and photon orbits of deformed Schwarzschild black holes
• Asymptotic quasinormal modes of string-theoretical $d$-dimensional black holes
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• Running Love Numbers and the Effective Field Theory of Gravity
• Quasinormal modes of dirty black holes in the two-loop renormalizable effective gravity
• The isospectrality of asymptotic quasinormal modes of large Gauss-Bonnet d-dimensional black holes
• Causality and quasi-normal modes in the GREFT
• Geodesic structure and quasinormal modes of a tidally perturbed spacetime
• Quasinormal modes of black holes encircled by a gravitating thin disk
• Identifying modified theories of gravity using binary black-hole ringdowns
• Curved accretion disks around rotating black holes without reflection symmetry
• Quasi-Normal Modes from Bound States: The Numerical Approach
• Bounds on tidal charges from gravitational-wave ringdown observations
• Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity
• Quasinormal modes of slowly rotating Kerr-Newman black holes using the double series method
• Applications of the close-limit approximation: horizonless compact objects and scalar fields
• An analytic approach to quasinormal modes for coupled linear systems
• Grey-body factors of higher dimensional regular black holes in quasi-topological theories
• Exact solution for rotating black holes in parity-violating gravity
• CLAP for modified gravity: scalar instabilities in binary black hole spacetimes
• Probing higher curvature gravity via ringdown with overtones