An Evidence Based Search Method For Gravitational Waves From Neutron Star Ring-downs

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dc.creatorClark, J.
dc.creatorHeng, I. S.
dc.creatorPitkin, M.
dc.creatorWoan, G.
dc.date2007-03-28
dc.date2007-06-18
dc.date.accessioned2026-07-07T11:21:56Z
dc.date.available2026-07-07T11:21:56Z
dc.descriptionThe excitation of quadrupolar quasi-normal modes in a neutron star leads to the emission of a short, distinctive, burst of gravitational radiation in the form of a decaying sinusoid or `ring-down'. We present a Bayesian analysis method which incorporates relevant prior information about the source and known instrumental artifacts to conduct a robust search for the gravitational wave emission associated with pulsar glitches and soft $γ$-ray repeater flares. Instrumental transients are modelled as sine-Gaussian and their evidence, or marginal likelihood, is compared with that of Gaussian white noise and ring-downs via the `odds-ratio'. Tests using simulated data with a noise spectral density similar to the LIGO interferometer around 1 kHz yield 50% detection efficiency and 1% false alarm probability for ring-down signals with signal-to-noise ratio $ρ=5.2$. For a source at 15 kpc this requires an energy of $1.3\times 10^{-5}M_{\astrosun}c^2$ to be emitted as gravitational waves.
dc.description14 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0703138
dc.identifierhttp://arxiv.org/abs/gr-qc/0703138
dc.identifierPhys.Rev.D76:043003,2007
dc.identifierdoi:10.1103/PhysRevD.76.043003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194413
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleAn Evidence Based Search Method For Gravitational Waves From Neutron Star Ring-downs
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