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Presented is a description of a Markov chain Monte Carlo (MCMC) parameter estimation routine for use with interferometric gravitational radiational data in searches for binary neutron star inspiral signals. Five parameters associated with…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Christian Röver , Renate Meyer , Nelson Christensen

It is computationally expensive to search the large parameter space associated with a gravitational wave signal of uncertain frequency, such as might be expected from the possible pulsar generated by SN1987A. To address this difficulty we…

General Relativity and Quantum Cosmology · Physics 2009-11-11 John Veitch , Richard Umstaetter , Renate Meyer , Nelson Christensen , Graham Woan

We examine the accuracy of estimation of parameters of the gravitational-wave signals from spinning neutron stars that can be achieved from observations by Earth-based laser interferometers. We consider a model of the signal consisting of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Piotr Jaranowski , Andrzej Królak

The Markov chain Monte Carlo methods offer practical procedures for detecting signals characterized by a large number of parameters and under conditions of low signal-to-noise ratio. We present a Metropolis-Hastings algorithm capable of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Nelson Christensen , Réjean J. Dupuis , Graham Woan , Renate Meyer

We present a Bayesian approach to the problem of determining parameters for coalescing binary systems observed with laser interferometric detectors. By applying a Markov Chain Monte Carlo (MCMC) algorithm, specifically the Gibbs sampler, we…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nelson Christensen , Renate Meyer

Rapidly rotating neutron stars are promising sources of continuous gravitational wave radiation for the LIGO and Virgo interferometers. The majority of neutron stars in our galaxy have not been identified with electromagnetic observations.…

Detection of continuous gravitational waves from rapidly-spinning neutron stars opens up the possibility of examining their internal physics. We develop a framework that leverages a future continuous gravitational wave detection to infer a…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Neil Lu , Karl Wette , Susan M. Scott , Andrew Melatos

I give a brief introduction to the problem of detecting gravitational radiation from neutron stars. After a review of the mechanisms by which such stars may produce radiation, I consider the different search strategies appropriate to the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bernard F Schutz

We present a theoretical background for the data analysis of the gravitational-wave signals from spinning neutron stars for Earth-based laser interferometric detectors. We introduce a detailed model of the signal including both the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Piotr Jaranowski , Andrzej Królak , Bernard F. Schutz

Targeted searches of continuous waves from spinning neutron stars normally assume that the frequency of the gravitational wave signal is at a given known ratio with respect to the rotational frequency of the source, e.g. twice for an…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 Pia Astone , Alberto Colla , Sabrina D'Antonio , Sergio Frasca , Cristiano Palomba , Roberto Serafinelli

A search is performed for continuous gravitational waves emitted by unknown neutron stars in five nearby globular clusters using data from the third Laser Interferometer Gravitational-Wave Observatory (LIGO) observing run, over the…

General Relativity and Quantum Cosmology · Physics 2025-03-21 L. Dunn , A. Melatos , P. Clearwater , S. Suvorova , L. Sun , W. Moran , R. J. Evans

We develop the analytic and numerical tools for data analysis of the gravitational-wave signals from spinning neutron stars for ground-based laser interferometric detectors. We study in detail the statistical properties of the optimum…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Piotr Jaranowski , Andrzej Krolak

We study the possibility to detect the gravitational wave background generated by all the neutron stars in the Galaxy with only one gravitational wave interferometric detector. The proposed strategy consists in squaring the detector's…

Astrophysics · Physics 2014-10-13 A. Giazotto , S. Bonazzola , E. Gourgoulhon

We present a method that assesses the theoretical detection limit of a Bayesian Markov chain Monte Carlo search for a periodic gravitational wave signal emitted by a neutron star. Inverse probability yields an upper limit estimate for the…

General Relativity and Quantum Cosmology · Physics 2008-08-19 Richard Umstaetter , Renate Meyer , Nelson Christensen

We describe the consistency testing of a new code for gravitational wave signal parameter estimation in known pulsar searches. The code uses an implementation of nested sampling to explore the likelihood volume. Using fake signals and…

High Energy Astrophysical Phenomena · Physics 2015-06-04 M. Pitkin , C. Gill , J. Veitch , E. Macdonald , G. Woan

This paper presents an in-depth study of how to estimate the sensitivity of searches for gravitational-wave pulsars -- rapidly-rotating neutron stars which emit quasi-sinusoidal gravitational waves. It is particularly concerned with…

General Relativity and Quantum Cosmology · Physics 2012-03-01 Karl Wette

The coalescence of binary neutron stars are one of the main sources of gravitational waves for ground-based gravitational wave detectors. As Bayesian inference for binary neutron stars is computationally expensive, more efficient and faster…

General Relativity and Quantum Cosmology · Physics 2019-11-20 Yann Bouffanais , Edward K. Porter

Within the next decade gravitational-wave (GW) observations by Advanced LIGO in the United States, Advanced Virgo and GEO HF in Europe, and possibly other ground-based instruments will provide unprecedented opportunities to look directly…

Solar and Stellar Astrophysics · Physics 2009-03-17 Benjamin J. Owen

The gravitational waves emitted by neutron stars carry unique information about their structure and composition. Direct detection of these gravitational waves, however, is a formidable technical challenge. In a recent study we quantified…

Solar and Stellar Astrophysics · Physics 2009-11-13 Anna L. Watts , Badri Krishnan

Gravitational-wave astronomy allows us to study objects and events invisible to electromagnetic waves. So far, only signals triggered by coalescing binaries have been detected. However, as the interferometers' sensitivities improve over…

High Energy Astrophysical Phenomena · Physics 2023-03-08 Magdalena Sieniawska , David Ian Jones , Andrew Lawrence Miller
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