Theory-agnostic Reconstruction of Potential and Couplings from Quasi-Normal Modes
arXiv:2202.08655 · doi:10.1103/PhysRevD.105.084046
Abstract
In this work, we use a parametrized theory-agnostic approach that connects the observation of black hole quasi-normal modes with the underlying perturbation equations, with the goal of reconstructing the potential and the coupling functions appearing in the latter. The fundamental quasi-normal mode frequency and its first two overtones are modeled through a second order expansion in the deviations from general relativity, which are assumed to be small but otherwise generic. By using a principal component analysis, we demonstrate that percent-level measurements of the fundamental mode and its overtones can be used to constrain the effective potential of tensor perturbations and the coupling functions between tensor modes and ones of different helicity, without assuming an underlying theory. We also apply our theory-agnostic reconstruction framework to analyze simulated quasi-normal mode data produced within specific theories extending general relativity, such as Chern-Simons gravity.
arXiv comment13 pages, 8 figures
References in corpus (55)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Observation of Gravitational Waves from a Binary Black Hole Merger
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
- Quasinormal modes of black holes and black branes
- GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
- Quasi-Normal Modes of Stars and Black Holes
- Tests of general relativity with GW150914
- First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
- Testing General Relativity with Present and Future Astrophysical Observations
- Is the gravitational-wave ringdown a probe of the event horizon?
- Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
- Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
- Observation of gravitational waves from two neutron star-black hole coalescences
- Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
- Chern-Simons Modified General Relativity
- Can environmental effects spoil precision gravitational-wave astrophysics?
- Testing the no-hair theorem with GW150914
- The observational evidence for horizons: from echoes to precision gravitational-wave physics
- Tests for the existence of horizons through gravitational wave echoes
- Constraints on black-hole charges with the 2017 EHT observations of M87*
- Gravitational Test Beyond the First Post-Newtonian Order with the Shadow of the M87 Black Hole
- Black hole ringdown: the importance of overtones
- Spectroscopy of Kerr black holes with Earth- and space-based interferometers
- Non-Spinning Black Holes in Alternative Theories of Gravity
- Advanced Methods in Black-Hole Perturbation Theory
- Gravitational signature of Schwarzschild black holes in dynamical Chern-Simons gravity
- Bayesian model selection for testing the no-hair theorem with black hole ringdowns
- Pseudospectrum and black hole quasi-normal mode (in)stability
- Massive vector fields on the Schwarzschild spacetime: quasinormal modes and bound states
- Destabilizing the Fundamental Mode of Black Holes: The Elephant and the Flea
- Parametrized black hole quasinormal ringdown. I. Decoupled equations for nonrotating black holes
- Quantifying excitations of quasinormal mode systems
- Testing the Kerr black hole hypothesis using X-ray reflection spectroscopy
- About the Significance of Quasinormal Modes of Black Holes
- On the mass radiated by coalescing black-hole binaries
- Parametrized black hole quasinormal ringdown. II. Coupled equations and quadratic corrections for nonrotating black holes
- Perturbed Kerr Black Holes can probe deviations from General Relativity
- Perturbations of Schwarzschild black holes in Dynamical Chern-Simons modified 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
- Numerical binary black hole collisions in dynamical Chern-Simons gravity
- Black-hole spectroscopy, the no-hair theorem and GW150914: Kerr vs. Occam
- Spectroscopy of binary black hole ringdown using overtones and angular modes
- Ringing of rotating black holes in higher-derivative gravity
- Parametrized ringdown spin expansion coefficients: a data-analysis framework for black-hole spectroscopy with multiple events
- Towards precision tests of general relativity with black hole X-ray reflection spectroscopy
- EHT tests of the strong-field regime of General Relativity
- The next decade of black hole spectroscopy
- Foreground cleaning and template-free stochastic background extraction for LISA
- Enhancing modified gravity detection from gravitational-wave observations using the Parametrized ringdown spin expansion coefficients formalism
- Aspects of multimode Kerr ring-down fitting
- Bayesian Metric Reconstruction with Gravitational Wave Observations
- Parametrizing and constraining scalar corrections to general relativity
Cited by in corpus (19)
- Agnostic black hole spectroscopy: Quasinormal mode content of numerical relativity waveforms and limits of validity of linear perturbation theory
- Quasi-normal modes of rotating black holes in Einstein-dilaton Gauss-Bonnet gravity: the second order in rotation
- An approach to computing spectral shifts for black holes beyond Kerr
- Role of black hole quasinormal mode overtones for ringdown analysis
- Constraining modifications of black hole perturbation potentials near the light ring with quasinormal modes
- 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
- A parametrized quasi-normal mode framework for non-Schwarzschild metrics
- Parametrized Black Hole Quasinormal Ringdown Formalism for Higher Overtones
- General black-hole metric mimicking Schwarzschild spacetime
- Black-hole spectroscopy: quasinormal modes, ringdown stability and the pseudospectrum
- Measuring deviations from the Kerr geometry with black hole ringdown
- Bounds on tidal charges from gravitational-wave ringdown observations
- Confronting general relativity with principal component analysis: Simulations and results from GWTC-3 events
- Ringdown spectroscopy of phenomenologically modified black holes
- An analytic approach to quasinormal modes for coupled linear systems
- Parameterized quasinormal frequencies and Hawking radiation for axial gravitational perturbations of a holonomy-corrected black hole
- Probing higher curvature gravity via ringdown with overtones
- Spectral instability of parametrized black hole quasinormal modes in the high-overtone limit via the exact WKB analysis