An Effective Search Method for Gravitational Ringing of Black Holes

Abstract

We develop a search method for gravitational ringing of black holes. The gravitational ringing is due to complex frequency modes called the quasi-normal modes that are excited when a black hole geometry is perturbed. The detection of it will be a direct confirmation of the existence of a black hole. Assuming that the ringdown waves are dominated by the fundamental mode with least imaginary part, we consider matched filtering and develop an optimal method to search for the ringdown waves that have damped sinusoidal wave forms. When we use the matched filtering method, the data analysis with a lot of templates required. Here we have to ensure a proper match between the filter as a template and the real wave. It is necessary to keep the detection efficiency as high as possible under limited computational costs. First, we consider the white noise case for which the matched filtering can be studied analytically. We construct an efficient method for tiling the template space. Then, using a fitting curve of the TAMA300 DT6 noise spectrum, we numerically consider the case of colored noise. We find our tiling method developed for the white noise case is still valid even if the noise is colored.

17 pages, 9 figures. Accepted to Phys. Rev. D, Note correction to Eq. (3-25), A few comments added and minor typos corrected

Cited by in corpus (24)

• Quasinormal modes of black holes and black branes
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
• Matched-filtering and parameter estimation of ringdown waveforms
• Quasinormal modes of Schwarzschild black holes in four and higher dimensions
• Highly Damped Quasinormal Modes of Kerr Black Holes: A Complete Numerical Investigation
• Second Order Quasi-Normal Mode of the Schwarzschild Black Hole
• Comparison of various methods to extract ringdown frequency from gravitational wave data
• Detection of a close supernova gravitational wave burst in a network of interferometers, neutrino and optical detectors
• Search for gravitational wave ringdowns from perturbed intermediate mass black holes in LIGO-Virgo data from 2005-2010
• Reduced Basis representations of multi-mode black hole ringdown gravitational waves
• The detection of Quasinormal Mode of Pop III Binary Black Hole merger with final $M\sim 60M_{\odot }$ and $a/M\sim 0.7$ would confirm the strong gravity space-time around $\sim 2M$ which is only $\sim 1.17$ times the event horizon radius
• A note on the resonant frequencies of rapidly rotating black holes
• Multivariate Classification with Random Forests for Gravitational Wave Searches of Black Hole Binary Coalescence
• Parameter estimation of compact binaries using the inspiral and ringdown waveforms
• Use of Excess Power Method and Convolutional Neural Network in All-Sky Search for Continuous Gravitational Waves
• On Detection of Black Hole Quasi-Normal Ringdowns: Detection Efficiency and Waveform Parameter Determination in Matched Filtering
• Scope out multiband gravitational-wave observations of GW190521-like binary black holes with space gravitational wave antenna B-DECIGO
• Gravitational Wave Astronomy
• Fundamental Tone and Overtones of Quasinormal Modes in Ringdown Gravitational Waves: A Detailed Study in Black Hole Perturbation
• Sensitivity Comparison of Searches for Binary Black Hole Coalescences with Ground-based Gravitational-Wave Detectors
• Improved Coincident and Coherent Detection Statistics for Searches for Gravitational Wave Ringdown Signals
• Assessing the impact of non-Gaussian noise on convolutional neural networks that search for continuous gravitational waves
• Black hole spectroscopy for KAGRA future prospect in O5