The universal Teukolsky equations and black hole perturbations in higher-derivative gravity
arXiv:2304.02663 · doi:10.1103/PhysRevD.108.024040
Abstract
We reduce the study of perturbations of rotating black holes in higher-derivative extensions of general relativity to a system of decoupled radial equations that stem from a set of universal Teukolsky equations. We detail a complete computational strategy to obtain these decoupled equations in general higher-derivative theories. We apply this to six-derivative gravity to compute the shifts in the quasinormal mode frequencies with respect to those of Kerr black holes in general relativity. At linear order in the angular momentum we reproduce earlier results obtained with a metric perturbation approach. In contrast with this earlier work, however, the method given here applies also to post-merger black holes with significant spin, which are of particular observational interest.
arXiv comment50 pages, 5 figures. v3: version published in PRD
References in corpus (90)
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- Advanced LIGO
- GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
- GW190521: A Binary Black Hole Merger with a Total Mass of
- Sensitivity Studies for Third-Generation Gravitational Wave Observatories
- Interferometer design of the KAGRA gravitational wave detector
- Detector configuration of KAGRA - the Japanese cryogenic gravitational-wave detector
- GW150914: The Advanced LIGO Detectors in the Era of First Discoveries
- Chern-Simons Modified General Relativity
- Dilatonic Black Holes in Higher Curvature String Gravity
- Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
- Kilonovae
- Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
- Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
- Perturbations of slowly rotating black holes: massive vector fields in the Kerr metric
- Echoes of Kerr-like wormholes
- Perturbed black holes in Einstein-dilaton-Gauss-Bonnet gravity: Stability, ringdown, and gravitational-wave emission
- Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
- Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity
- Second order gauge invariant gravitational perturbations of a Kerr black hole
- Advanced Methods in Black-Hole Perturbation Theory
- Black holes, hidden symmetries, and complete integrability
- Gravitational signature of Schwarzschild black holes in dynamical Chern-Simons gravity
- Phenomenological aspects of black holes beyond general relativity
- Black holes and binary mergers in scalar Gauss-Bonnet gravity: scalar field dynamics
- Black holes in an Effective Field Theory extension of GR
- About the Significance of Quasinormal Modes of Black Holes
- An effective formalism for testing extensions to General Relativity with gravitational waves
- Quasinormal modes of Einstein-Gauss-Bonnet-dilaton black holes
- Numerical binary black hole mergers in dynamical Chern-Simons: I. Scalar field
- Leading higher-derivative corrections to Kerr geometry
- Parametrized black hole quasinormal ringdown. II. Coupled equations and quadratic corrections for nonrotating black holes
- Evolution of Einstein-scalar-Gauss-Bonnet gravity using a modified harmonic formulation
- Gravitational perturbations of the Kerr geometry: High-accuracy study
- Well-posed formulation of Lovelock and Horndeski theories
- Gravitational wave signatures of black hole quasi-normal mode instability
- Numerical relativity simulation of GW150914 in Einstein dilaton Gauss-Bonnet gravity
- Perturbations of Schwarzschild black holes in Dynamical Chern-Simons modified gravity
- Numerical relativity simulation of GW150914 beyond general relativity
- Leading Nonlinear Tidal Effects and Scattering Amplitudes
- Quasi-normal modes of rotating black holes in Einstein-dilaton Gauss-Bonnet gravity: the first order in rotation
- Numerical binary black hole collisions in dynamical Chern-Simons gravity
- qnm: A Python package for calculating Kerr quasinormal modes, separation constants, and spherical-spheroidal mixing coefficients
- Stability of the fundamental quasinormal mode in time-domain observations against small perturbations
- Post-Newtonian dynamics and black hole thermodynamics in Einstein-scalar-Gauss-Bonnet gravity
- From amplitudes to gravitational radiation with cubic interactions and tidal effects
- Effective Field Theory of Black Hole Quasinormal Modes in Scalar-Tensor Theories
- Gravitational ringing of rotating black holes in higher-derivative gravity
- Perturbations of spinning black holes beyond General Relativity: Modified Teukolsky equation
- Review of the Advanced LIGO gravitational wave observatories leading to observing run four
- Quasinormal modes of slowly-rotating black holes in dynamical Chern-Simons gravity
- Higher derivative corrections to Kerr black hole thermodynamics
- Quasi-normal modes of black holes in Horndeski gravity
- Ringing of rotating black holes in higher-derivative gravity
- Post-Kerr black hole spectroscopy
- Black Hole Gravitational Waves in the Effective Field Theory of Gravity
- Gravitational Collapse in Einstein dilaton Gauss-Bonnet Gravity
- The next decade of black hole spectroscopy
- Quasi-normal modes of rotating black holes in Einstein-dilaton Gauss-Bonnet gravity: the second order in rotation
- Probing microstructure of black hole spacetimes with gravitational wave echoes
- Eikonal quasinormal modes of black holes beyond General Relativity
- The Quasinormal Modes of Weakly Charged Kerr-Newman Spacetimes
- Energy scales and black hole pseudospectra: the structural role of the scalar product
- Analytical computation of quasi-normal modes of slowly-rotating black-holes in dCS gravity
- Teukolsky-Starobinsky Identities - a Novel Derivation and Generalizations
- General theories of linear gravitational perturbations to a Schwarzschild Black Hole
- Using rational filters to uncover the first ringdown overtone in GW150914
- Black hole spectroscopy by mode cleaning
- Eikonal quasinormal modes and shadow of string-corrected -dimensional black holes
- Binary black hole spectroscopy: a no-hair test of GW190814 and GW190412
- Eikonal quasinormal modes of black holes beyond general relativity III: scalar Gauss-Bonnet gravity
- Eikonal quasinormal modes of black holes beyond general relativity II: generalised scalar-tensor perturbations
- Numerical relativity for Horndeski gravity
- Effective field theory for gravitational radiation in scalar-tensor gravity
- Black Hole Binaries in Cubic Horndeski Theories
- Third post-Newtonian effective-one-body Hamiltonian in scalar-tensor and Einstein-scalar-Gauss-Bonnet gravity
- Gravitational perturbations of rotating black holes in Lorenz gauge
- Black Hole Multipoles in Higher-Derivative Gravity
- Constraining modifications of black hole perturbation potentials near the light ring with quasinormal modes
- Evolving Metric Perturbations in dynamical Chern-Simons Gravity
- Quasinormal Modes Beyond Kerr
- Eikonal quasinormal modes and photon orbits of deformed Schwarzschild black holes
- Perturbations of a rotating black hole in DHOST theories
- Asymptotic quasinormal modes of string-theoretical -dimensional black holes
- Gravitational wave inference on a numerical-relativity simulation of a black hole merger beyond general relativity
- Searching for ultralight bosons with supermassive black hole ringdown
- Gravitational shockwaves on rotating black holes
- Schwarzschild quasi-normal modes of non-minimally coupled vector fields
- Modeling and detecting resonant tides of exotic compact objects
- Phenomenological Inclusion of Alternative Dispersion Relations to the Teukolsky Equation and its Application to Bounding the Graviton Mass with Gravitational-wave Measurements
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- Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT
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