Quasi-normal modes of slowly-rotating Johannsen black holes

Abstract

The detection of gravitational waves with ground-based laser interferometers has opened a new window to test and constrain General Relativity (GR) in the strong, dynamical, and non-linear regime. In this paper, we follow an agnostic approach and we study the quasi-normal modes of gravitational perturbations of Johannsen black holes under the assumptions of the validity of the Einstein Equations and of low values of the black hole spin parameter and deformation parameters. We find that the deformation parameter ${\alpha }_{13}$ has a stronger impact on the quasi-normal modes than the other leading order deformation parameters (${\alpha }_{22}$, ${\alpha }_{52}$, and ${\epsilon }_3$). We derive a fitting formula for the fundamental modes with $l=2$ and $l=3$ for the deformation parameter ${\alpha }_{13}$ valid in the slow rotation approximation ($a_{\ast }<0.4$). Finally, we constrain ${\alpha }_{13}$ from the event GW170104; within our analysis, we find that the data of GW170104 are consistent with the predictions of GR.

arXiv comment17 pages, 7 figures. v2: refereed version

References in corpus (47)

• Array Programming with NumPy
• The Confrontation between General Relativity and Experiment
• Quasinormal modes of black holes and black branes
• Quasi-Normal Modes of Stars and Black Holes
• Tests of general relativity with GW150914
• Quasinormal modes of black holes: from astrophysics to string theory
• Testing General Relativity with Present and Future Astrophysical Observations
• Geodesic stability, Lyapunov exponents and quasinormal modes
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Black holes, gravitational waves and fundamental physics: a roadmap
• Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
• First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric
• Stationary Black Holes: Uniqueness and Beyond
• Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image
• Testing the no-hair theorem with GW150914
• Gravitational Test Beyond the First Post-Newtonian Order with the Shadow of the M87 Black Hole
• Testing black hole candidates with electromagnetic radiation
• Regular Black Hole Metric with Three Constants of Motion
• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger
• Perturbed black holes in Einstein-dilaton-Gauss-Bonnet gravity: Stability, ringdown, and gravitational-wave emission
• Matched-filtering and parameter estimation of ringdown waveforms
• Modeling Ringdown: Beyond the Fundamental Quasi-Normal Modes
• Advanced Methods in Black-Hole Perturbation Theory
• Black Hole Based Tests of General Relativity
• Observational Black Hole Spectroscopy: A time-domain multimode analysis of GW150914
• Quasi-normal modes of rotating black holes in Einstein-dilaton Gauss-Bonnet gravity: the first order in rotation
• Quasinormal modes of slowly-rotating black holes in dynamical Chern-Simons gravity
• Perturbations of spinning black holes beyond General Relativity: Modified Teukolsky equation
• Testing general relativity with the reflection spectrum of the supermassive black hole in 1H0707$-$495
• Parametrized ringdown spin expansion coefficients: a data-analysis framework for black-hole spectroscopy with multiple events
• Black-hole ringdown as a probe of higher-curvature gravity theories
• Towards precision tests of general relativity with black hole X-ray reflection spectroscopy
• The universal Teukolsky equations and black hole perturbations in higher-derivative gravity
• Testing General Relativity with NuSTAR data of Galactic Black Holes
• Tests of general relativity in the nonlinear regime: a parametrized plunge-merger-ringdown gravitational waveform model
• Gravitational-wave versus X-ray tests of strong-field gravity
• Testing the Kerr Black Hole Hypothesis with GX 339-4 by a combined analysis of its thermal spectrum and reflection features
• Bayesian Metric Reconstruction with Gravitational Wave Observations
• Spectral method for metric perturbations of black holes: Kerr background case in general relativity
• Probing Einstein-dilaton Gauss-Bonnet Gravity with the inspiral and ringdown of gravitational waves
• Probing beyond-Kerr spacetimes with inspiral-ringdown corrections to gravitational waves
• Testing regular black holes with X-ray and GW data
• Scalar Fields and Parametrized Spherically Symmetric Black Holes: Can one hear the shape of space-time?
• Testing General Relativity with black hole X-ray data: a progress report
• Non-Kerr Constraints using Binary Black Hole inspirals considering phase modifications up to 4 PN order

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