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Implementation of an $\mathcal{F}$-statistic all-sky search for continuous gravitational waves in Virgo VSR1 data

Authors: Aasi, J.; Abbott, B.; Abbott, R.; Abbott, T.; Abernathy, M.; Accadia, T.; Acernese, F.; +193 Authors

Implementation of an $\mathcal{F}$-statistic all-sky search for continuous gravitational waves in Virgo VSR1 data

Abstract

We present an implementation of the $\mathcal{F}$-statistic to carry out the first search in data from the Virgo laser interferometric gravitational wave detector for periodic gravitational waves from a priori unknown, isolated rotating neutron stars. We searched a frequency $f_0$ range from 100 Hz to 1 kHz and the frequency dependent spindown $f_1$ range from $-1.6\,(f_0/100\,{\rm Hz}) \times 10^{-9}\,$ Hz/s to zero. A large part of this frequency - spindown space was unexplored by any of the all-sky searches published so far. Our method consisted of a coherent search over two-day periods using the $\mathcal{F}$-statistic, followed by a search for coincidences among the candidates from the two-day segments. We have introduced a number of novel techniques and algorithms that allow the use of the Fast Fourier Transform (FFT) algorithm in the coherent part of the search resulting in a fifty-fold speed-up in computation of the $\mathcal{F}$-statistic with respect to the algorithm used in the other pipelines. No significant gravitational wave signal was found. The sensitivity of the search was estimated by injecting signals into the data. In the most sensitive parts of the detector band more than 90% of signals would have been detected with dimensionless gravitational-wave amplitude greater than $5 \times 10^{-24}$.

27 pages, 10 figures, submitted to CQG, corrected affiliations and autors list; Science summary of results available at http://www.ligo.org/science/Publication-VSR1CWAllSkyFstat/index.php

Keywords

Aérospatiale, astronomie & astrophysique, Physics and Astronomy (miscellaneous), [SDU.ASTR.HE] Sciences of the Universe [physics]/Astrophysics [astro-ph]/High Energy Astrophysical Phenomena [astro-ph.HE], Astronomy, Astrophysics / csillagászat, General Relativity and Quantum Cosmology, QB Astronomy, Gravitational radiation detectors, QC, QB, High Energy Astrophysical Phenomena (astro-ph.HE), [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Physics, [SDU.ASTR.HE]Sciences of the Universe [physics]/Astrophysics [astro-ph]/High Energy Astrophysical Phenomena [astro-ph.HE], 001, Settore FIS/01 - FISICA SPERIMENTALE, gravitational waves, [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Pacs number: 04.80.Nn Gravitational wave detectors and experiments; Pacs number: 95.55.Ym Gravitational radiation detectors, mass spectrometers, and other instrumentation and techniques; Pacs number: 97.60.Jd Neutron stars, Gravitational waves; Pulsars; Statistics, Astrophysics - High Energy Astrophysical Phenomena, Astrophysics - Instrumentation and Methods for Astrophysics, [PHYS.ASTR.HE]Physics [physics]/Astrophysics [astro-ph]/High Energy Astrophysical Phenomena [astro-ph.HE], [PHYS.ASTR.IM]Physics [physics]/Astrophysics [astro-ph]/Instrumentation and Methods for Astrophysic [astro-ph.IM], Algorithms and implementation, gravitational radiation detectors, Physique, chimie, mathématiques & sciences de la terre, Data analysis, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Settore FIS/05 - ASTRONOMIA E ASTROFISICA, 530, Gravitational waves, [SDU.ASTR.IM] Sciences of the Universe [physics]/Astrophysics [astro-ph]/Instrumentation and Methods for Astrophysic [astro-ph.IM], algorithms and implementation [data analysis], Physical, chemical, mathematical & earth Sciences, data analysis: algorithms and implementation; gravitational radiation detectors; gravitational waves; pulsars, Instrumentation and Methods for Astrophysics (astro-ph.IM), Pulsars, Physique, 500, [SDU.ASTR.IM]Sciences of the Universe [physics]/Astrophysics [astro-ph]/Instrumentation and Methods for Astrophysic [astro-ph.IM], data analysis: algorithms and implementation; gravitational radiation detectors; gravitational waves; pulsars; Physics and Astronomy (miscellaneous), asztrofizika, QC Physics / fizika, Space science, astronomy & astrophysics, pulsars, RADIATION, data analysis: algorithms and implementation, [PHYS.ASTR.IM] Physics [physics]/Astrophysics [astro-ph]/Instrumentation and Methods for Astrophysic [astro-ph.IM], gravitational waves; Data analysis, [PHYS.ASTR.HE] Physics [physics]/Astrophysics [astro-ph]/High Energy Astrophysical Phenomena [astro-ph.HE]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
36
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