REVIEW 6 cited by
Ringdown overtones, black hole spectroscopy, and no-hair theorem tests
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
Validating the black-hole no-hair theorem with gravitational-wave observations of compact binary coalescences provides a compelling argument that the remnant object is indeed a black hole as described by the general theory of relativity. This requires performing a spectroscopic analysis of the post-merger signal and resolving the frequencies of either different angular modes or overtones (of the same angular mode). For a nearly-equal mass binary black-hole system, only the dominant angular mode ($l=m=2$) is sufficiently excited and the overtones are instrumental to perform this test. Here we investigate the robustness of modelling the post-merger signal of a binary black hole coalescence as a superposition of overtones. Further, we study the bias expected in the recovered frequencies as a function of the start time of a spectroscopic analysis and provide a computationally cheap procedure to choose it based on the interplay between the expected statistical error due to the detector noise and the systematic errors due to waveform modelling. Moreover, since the overtone frequencies are closely spaced, we find that resolving the overtones is particularly challenging and requires a loud ringdown signal. Rayleigh's resolvability criterion suggests that in an optimistic scenario a ringdown signal-to-noise ratio larger than $\sim 30$ (achievable possibly with LIGO at design sensitivity and routinely with future interferometers such as Einstein Telescope, Cosmic Explorer, and LISA) is necessary to resolve the overtone frequencies. We then conclude by discussing some conceptual issues associated with black-hole spectroscopy with overtones.
Forward citations
Cited by 6 Pith papers
-
Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit
Kerr quadratic quasi-normal mode amplitudes and phases are computed analytically in the eikonal limit via the Penrose limit, giving an explicit spin-dependent nonlinearity ratio.
-
Parametrized beyond-Teukolsky framework in the time domain
First time-domain implementation of the parametrized beyond-Teukolsky framework, validated against frequency-domain benchmarks for low multipoles and yielding new amplitude, phase, quadratic-coefficient, and tail-onse...
-
Finite signal-to-noise ratio bias in parameter estimation for damped oscillations: cautionary remark about catalog-level black-hole spectroscopy
Damping-time estimates for ringdown signals carry unsuppressed O(ρ^{-2}) positive biases from priors and likelihood geometry, risking false Kerr violations after ~100 events at ρ≈10.
-
Waveform stability of black hole ringdown with stochastic horizon structure
Ringdown waveforms are robust against small-scale stochastic horizon fluctuations; only coherent, macroscopic horizon structure with ε≳10^-4 and L_c∼M could produce observable deviations.
-
Self-force framework for merger-ringdown waveforms
A phase-space self-force framework is extended through the final plunge to produce merger-ringdown waveforms at leading geodesic order, with stationary-phase and quasinormal-mode approximations both failing near the p...
-
Echoes of a hairy black hole from gravitational decoupling
Axial perturbations of a gravitationally decoupled hairy black hole develop a double-peak potential that dynamically generates echo-like late-time waveforms in a suitable (α, β) region.
Discussion (0). Sign in to comment.