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A low frequency stochastic background of gravitational waves may be detected by pulsar timing experiments in the next five to ten years. Using methods developed to analyze interferometric gravitational wave data, in this paper we lay out…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Melissa Anholm , Stefan Ballmer , Jolien D. E. Creighton , Larry R. Price , Xavier Siemens

Extended sources of the stochastic gravitational backgrounds have been conventionally searched on the spherical harmonics bases. The analysis during the previous observing runs by the ground-based gravitational wave detectors, such LIGO and…

Instrumentation and Methods for Astrophysics · Physics 2023-02-08 Leo Tsukada , Santiago Jaraba , Deepali Agarwal , Erik Floden

Lensing of gravitational waves (GWs) due to intervening massive astrophysical systems between the source and the observer is an inevitable consequence of the general theory of relativity, which can produce multiple GW events with…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Aniruddha Chakraborty , Suvodip Mukherjee

The signal of continuous gravitational waves has a longer duration than the observation period. Even if the waveform in the source frame is monochromatic, we will observe the waveform with modulated frequencies due to the motion of the…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Takahiro S. Yamamoto , Takahiro Tanaka

This thesis presents advancements in the detection of gravitational waves from compact binary coalescences, utilising the most sensitive observatories constructed to date. The research focuses on enhancing gravitational-wave signal searches…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Arthur Tolley

The detection and estimation of gravitational wave burst signals, with {\em a priori} unknown polarization waveforms, requires the use of data from a network of detectors. For determining how the data from such a network should be combined,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Soumya D. Mohanty , Malik Rakhmanov , Sergei Klimenko , Guenakh Mitselmakher

One of the most interesting predictions of string-inspired cosmological models is the presence of a stochastic background of relic gravitational waves in the frequency band accessible to Earth-based detectors. Here we consider a ``minimal''…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Ungarelli , A. Vecchio

Inferring the properties of colliding black holes from gravitational-wave observations is subject to systematic errors arising from modelling uncertainties. Although the accuracy of each model can be calculated through comparison to…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Charlie Hoy , Sarp Akcay , Jake Mac Uilliam , Jonathan E. Thompson

Searches for continuous gravitational waves target nearly monochromatic gravitational wave emission from e.g. non-axysmmetric fast-spinning neutron stars. Broad surveys often require to explicitly search for a very large number of different…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Benjamin Steltner , Thorben Menne , Maria Alessandra Papa , Heinz-Bernd Eggenstein

We derive a simple algebraic criterion to select the optimal detector network for a coherent wide parameter-space (all-sky) search for continuous gravitational waves. Optimality in this context is defined as providing the highest (average)…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Reinhard Prix

Coherent wide parameter-space searches for continuous gravitational waves are typically limited in sensitivity by their prohibitive computing cost. Therefore semi-coherent methods (such as StackSlide) can often achieve a better sensitivity.…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Reinhard Prix , Miroslav Shaltev

We present an algorithm for the detection of periodic sources of gravitational waves with interferometric detectors that is based on a special symmetry of the problem: the contributions to the phase modulation of the signal from the earth…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Julien Sylvestre

Gravitational waves (GW) can be employed as standard sirens that will soon measure the Hubble constant with sufficient precision to weigh in on the $\sim 5\sigma$ Hubble tension. Most GW sources will have no identified electromagnetic…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-16 Emery Trott , Dragan Huterer

The presence of a gravitational wave background (GWB) can be established not only via exquisitely precise pulsar timing array (PTA) measurements, but also via astrometric observations. Indeed, the very same background responsible for the…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-17 Gabriele Perna , Nicola Bellomo , Vincenzo Roatti , Daniele Bertacca

Relativistic spin-orbit and spin-spin couplings has been shown to modify the gravitational waveforms expected from inspiraling binaries with a black hole and a neutron star. As a result inspiral signals may be missed due to significant…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Philippe Grandclement , Mia Ihm , Vassiliki Kalogera , Krzystof Belczynski

Strong lensing of gravitational waves can produce several detectable images as repeated events in the upcoming observing runs, which can be detected with the posterior overlap analysis (Bayes factor). The choice of the binary black hole…

General Relativity and Quantum Cosmology · Physics 2025-09-26 Damon H. T. Cheung , Stefano Rinaldi , Martina Toscani , Otto A. Hannuksela

The models currently used in the detection of gravitational waves (GWs) either do not consider a relative motion between the center-of-mass of the source and the observer, or usually only consider its effect on the frequencies of GWs.…

High Energy Astrophysical Phenomena · Physics 2020-04-28 Alejandro Torres-Orjuela , Xian Chen , Zhoujian Cao , Pau Amaro-Seoane , Peng Peng

Gravitational wave astronomy has set in motion a scientific revolution. To further enhance the science reach of this emergent field, there is a pressing need to increase the depth and speed of the gravitational wave algorithms that have…

Instrumentation and Methods for Astrophysics · Physics 2018-02-28 Daniel George , E. A. Huerta

Network data analysis methods are the only way to properly separate real gravitational wave (GW) transient events from detector noise. They can be divided into two generic classes: the coincidence method and the coherent analysis. The…

The detection of gravitational waves has revolutionized our understanding of the universe, offering unprecedented insights into its dynamics. A major goal of gravitational wave data analysis is to speed up the detection and parameter…