Measuring quasi-normal mode amplitudes with misaligned binary black hole ringdowns
arXiv:2204.06007 · doi:10.1103/PhysRevD.105.124030
Abstract
In recent work, we examined how different modes in the ringdown phase of a binary coalescence are excited as a function of the final plunge geometry. At least in the large mass ratio limit, we found a clean mapping between angles describing the plunge and the amplitude of different quasi-normal modes (QNMs) which constitute the ringdown. In this study, we use that mapping to construct a waveform model expressed as a sum of QNMs where the mode amplitudes and phases are determined by the source plunge parameters. We first generate a large number of calibration waveforms and interpolate between fits of each mode amplitude and phase up to and . The density of our calibration data allows us to resolve important features such as phase transition discontinuities at large misalignments. Using our ringdown waveform model, we then perform Bayesian parameter estimation with added white Gaussian noise to demonstrate that, in principle, the mode amplitudes can be measured and used to constrain the plunge geometry. We find that inferences are substantially improved by incorporating prior information constraining mode excitation, which motivates work to understand and characterize how the QNM excitation depends on the coalescence geometry. These results are part of a broader effort to map the mode excitation from arbitrary masses and spins, which will be useful for characterizing ringdown waves in upcoming gravitational-wave measurements.
19 pages, 14 figures, submitted to PRD
References in corpus (16)
- GW190814: Gravitational Waves from the Coalescence of a 23 M Black Hole with a 2.6 M Compact Object
- Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
- Gravitational wave snapshots of generic extreme mass ratio inspirals
- Matched-filtering and parameter estimation of ringdown waveforms
- Testing the no-hair theorem with black hole ringdowns using TIGER
- Towards adiabatic waveforms for inspiral into Kerr black holes: I. A new model of the source for the time domain perturbation equation
- Ringdown overtones, black hole spectroscopy, and no-hair theorem tests
- Towards adiabatic waveforms for inspiral into Kerr black holes: II. Dynamical sources and generic orbits
- Mixing of spherical and spheroidal modes in perturbed Kerr black holes
- qnm: A Python package for calculating Kerr quasinormal modes, separation constants, and spherical-spheroidal mixing coefficients
- Spectroscopy of binary black hole ringdown using overtones and angular modes
- Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms
- Binary black hole merger gravitational waves and recoil in the large mass ratio limit
- A numerical study of the quasinormal mode excitation of Kerr black holes
- Challenges testing the no-hair theorem with gravitational waves
- Universal features of gravitational waves emitted by superkick binary black hole systems