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Abstract
<p class="first" id="P1">With the first direct detection of gravitational waves, the
advanced laser interferometer
gravitational-wave observatory (LIGO) has initiated a new field of astronomy by providing
an alternative means of sensing the universe. The extreme sensitivity required to
make such detections is achieved through exquisite isolation of all sensitive components
of LIGO from non-gravitational-wave disturbances. Nonetheless, LIGO is still susceptible
to a variety of instrumental and environmental sources of noise that contaminate the
data. Of particular concern are noise features known as
<i>glitches</i>, which are transient and non-Gaussian in their nature, and occur at
a high enough
rate so that accidental coincidence between the two LIGO detectors is non-negligible.
Glitches come in a wide range of time-frequency-amplitude morphologies, with new morphologies
appearing as the detector evolves. Since they can obscure or mimic true gravitational-wave
signals, a robust characterization of glitches is paramount in the effort to achieve
the gravitational-wave detection rates that are predicted by the design sensitivity
of LIGO. This proves a daunting task for members of the LIGO Scientific Collaboration
alone due to the sheer amount of data. In this paper we describe an innovative project
that combines crowdsourcing with machine learning to aid in the challenging task of
categorizing all of the glitches recorded by the LIGO detectors. Through the Zooniverse
platform, we engage and recruit volunteers from the public to categorize images of
time-frequency representations of glitches into pre-identified morphological classes
and to discover new classes that appear as the detectors evolve. In addition, machine
learning algorithms are used to categorize images after being trained on human-classified
examples of the morphological classes. Leveraging the strengths of both classification
methods, we create a combined method with the aim of improving the efficiency and
accuracy of each individual classifier. The resulting classification and characterization
should help LIGO scientists to identify causes of glitches and subsequently eliminate
them from the data or the detector entirely, thereby improving the rate and accuracy
of gravitational-wave observations. We demonstrate these methods using a small subset
of data from LIGO’s first observing run.
</p>
On September 14, 2015 at 09:50:45 UTC the two detectors of the Laser Interferometer Gravitational-Wave Observatory simultaneously observed a transient gravitational-wave signal. The signal sweeps upwards in frequency from 35 to 250 Hz with a peak gravitational-wave strain of 1.0×10−21. It matches the waveform predicted by general relativity for the inspiral and merger of a pair of black holes and the ringdown of the resulting single black hole. The signal was observed with a matched-filter signal-to-noise ratio of 24 and a false alarm rate estimated to be less than 1 event per 203 000 years, equivalent to a significance greater than 5.1 {\sigma}. The source lies at a luminosity distance of 410+160−180 Mpc corresponding to a redshift z=0.09+0.03−0.04. In the source frame, the initial black hole masses are 36+5−4M⊙ and 29+4−4M⊙, and the final black hole mass is 62+4−4M⊙, with 3.0+0.5−0.5M⊙c2 radiated in gravitational waves. All uncertainties define 90% credible intervals.These observations demonstrate the existence of binary stellar-mass black hole systems. This is the first direct detection of gravitational waves and the first observation of a binary black hole merger.
We report the observation of a gravitational-wave signal produced by the coalescence of two stellar-mass black holes. The signal, GW151226, was observed by the twin detectors of the Laser Interferometer Gravitational-Wave Observatory (LIGO) on December 26, 2015 at 03:38:53 UTC. The signal was initially identified within 70 s by an online matched-filter search targeting binary coalescences. Subsequent off-line analyses recovered GW151226 with a network signal-to-noise ratio of 13 and a significance greater than 5 σ. The signal persisted in the LIGO frequency band for approximately 1 s, increasing in frequency and amplitude over about 55 cycles from 35 to 450 Hz, and reached a peak gravitational strain of 3.4+0.7−0.9×10−22. The inferred source-frame initial black hole masses are 14.2+8.3−3.7M⊙ and 7.5+2.3−2.3M⊙ and the final black hole mass is 20.8+6.1−1.7M⊙. We find that at least one of the component black holes has spin greater than 0.2. This source is located at a luminosity distance of 440+180−190 Mpc corresponding to a redshift 0.09+0.03−0.04. All uncertainties define a 90 % credible interval. This second gravitational-wave observation provides improved constraints on stellar populations and on deviations from general relativity.
The first observational run of the Advanced LIGO detectors, from September 12, 2015 to January 19, 2016, saw the first detections of gravitational waves from binary black hole mergers. In this paper we present full results from a search for binary black hole merger signals with total masses up to 100M⊙ and detailed implications from our observations of these systems. Our search, based on general-relativistic models of gravitational wave signals from binary black hole systems, unambiguously identified two signals, GW150914 and GW151226, with a significance of greater than 5σ over the observing period. It also identified a third possible signal, LVT151012, with substantially lower significance, which has a 87% probability of being of astrophysical origin. We provide detailed estimates of the parameters of the observed systems. Both GW150914 and GW151226 provide an unprecedented opportunity to study the two-body motion of a compact-object binary in the large velocity, highly nonlinear regime. We do not observe any deviations from general relativity, and place improved empirical bounds on several high-order post-Newtonian coefficients. From our observations we infer stellar-mass binary black hole merger rates lying in the range 9−240Gpc−3yr−1. These observations are beginning to inform astrophysical predictions of binary black hole formation rates, and indicate that future observing runs of the Advanced detector network will yield many more gravitational wave detections.
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