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Evidence-based search method for gravitational waves from neutron star ring-downs

2007/03/31 by J. A. Clark, J. Clark, I. S. Heng +2 · 4 citations
Computer Science · Earth and Planetary Sciences · Physics and Astronomy · #Pulsars and Gravitational Waves Research #Seismic Waves and Analysis #Seismology and Earthquake Studies #gr-qc

paper · pdf · doi:10.1103/physrevd.76.043003

published as Phys.Rev.D76:043003,2007 · 14 pages, 12 figures

arxiv created 2007/06/18 · openalex publication_date 2007/08/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The excitation of quadrupolar quasinormal 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 \ensuremathγ-ray repeater flares. Instrumental transients are modeled 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 \ensuremathρ=5.2. For a source at 15 kpc this requires an energy of 1.3\ifmmode×\else\texttimes\fi10^\ensuremath-5M_\ensuremath\bigodotc2 to be emitted as gravitational waves.

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