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This paper provides a comprehensive guide to gravitational wave data processing, with a particular focus on signal generation, noise modeling, and optimization techniques. Beginning with an introduction to gravitational waves and the…

Instrumentation and Methods for Astrophysics · Physics 2024-10-17 Jingxu Wu , YuWei Yin , Chenjia Li , Yan Wang

Parameterised models that predict the gravitational-wave (GW) signal from merging black holes are used to extract source properties from GW observations. The majority of research in this area has focused on developing methods capable of…

General Relativity and Quantum Cosmology · Physics 2024-09-09 Sebastian Khan

In this paper we investigate the gravitational waves emission by stellar dynamical structures as complex systems in the quadrupole approximation considering bounded and unbounded orbits. Precisely, after deriving analytical expressions for…

General Relativity and Quantum Cosmology · Physics 2009-06-29 Ivana Bochicchio , Mariafelicia De Laurentis , Ettore Laserra

Since the very first detection of gravitational waves from the coalescence of two black holes in 2015, Bayesian statistical methods have been routinely applied by LIGO and Virgo to extract the signal out of noisy interferometric…

General Relativity and Quantum Cosmology · Physics 2020-09-23 Renate Meyer , Matthew C. Edwards , Patricio Maturana-Russel , Nelson Christensen

Accurate extractions of the detected gravitational wave (GW) signal waveforms are essential to validate a detection and to probe the astrophysics behind the sources producing the GWs. This however could be difficult in realistic scenarios…

General Relativity and Quantum Cosmology · Physics 2021-09-20 Chayan Chatterjee , Linqing Wen , Foivos Diakogiannis , Kevin Vinsen

We present a method for extracting gravitational radiation from a three-dimensional numerical relativity simulation and, using the extracted data, to provide outer boundary conditions. The method treats dynamical gravitational variables as…

Part A of this article is devoted to the general investigation of the gravitational-wave emission by post-Newtonian sources. We show how the radiation field far from the source, as well as its near-zone inner gravitational field, can (in…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luc Blanchet

We apply common gravitational wave inference procedures on binary black hole merger waveforms beyond general relativity. We consider dynamical Chern-Simons gravity, a modified theory of gravity with origins in string theory and loop quantum…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Maria Okounkova , Maximiliano Isi , Katerina Chatziioannou , Will M. Farr

The possibility of forming gravitational-wave sources with high center-of-mass (c.m.) velocities in the vicinity of supermassive black holes requires us to develop a method of deriving the waveform in the observer's frame. Here we show that…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Han Yan , Xian Chen , Alejandro Torres-Orjuela

Gravitational waves deliver information in exquisite detail about astrophysical phenomena, among them the collision of two black holes, a system completely invisible to the eyes of electromagnetic telescopes. Models that predict…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Deirdre Shoemaker , Karan Jani , Lionel London , Larne Pekowsky

Gravitational-wave astronomy of compact binaries relies on theoretical models of the gravitational-wave signal that is emitted as binaries coalesce. These models do not only need to be accurate, they also have to be fast to evaluate in…

Instrumentation and Methods for Astrophysics · Physics 2020-03-04 Yoshinta Setyawati , Michael Pürrer , Frank Ohme

The prime candidate of LIGO/VIRGO sources of gravitational waves is the spiral in of black holes and neutron stars in compact binaries. While the early stages of the evolution of compact binaries is computable from post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Maurice H. P. M. van Putten

We highlight some subtleties that affect naive implementations of quadrupolar and octupolar gravitational waveforms from numerically-integrated trajectories of three-body systems. Some of those subtleties arise from the requirement that the…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Matteo Bonetti , Enrico Barausse , Guillaume Faye , Francesco Haardt , Alberto Sesana

This tutorial leads the reader through the details of calculating the properties of gravitational waves from orbiting binaries, such as two orbiting black holes. Using analogies with electromagnetic radiation, the tutorial presents a…

Physics Education · Physics 2019-08-15 Robert C. Hilborn

Gravitational waves (GWs) hold great potential for an unobscured view of protoneutron stars (PNSs) formed as a result of stellar collapses. While waiting for discovery, deepening the understanding of GW emission in theory is beneficial for…

High Energy Astrophysical Phenomena · Physics 2024-09-18 Shuai Zha

Gravitational-wave (GW) astrophysics is a field in full blossom. Since the landmark detection of GWs from a binary black hole on September 14th 2015, several compact-object binaries have been reported by the LIGO-Virgo collaboration. Such…

General Relativity and Quantum Cosmology · Physics 2022-11-04 Andrea Antonelli

The detection of gravitational waves by the LIGO-Virgo-KAGRA collaboration has ushered in a new era of observational astronomy, emphasizing the need for rapid and detailed parameter estimation and population-level analyses. Traditional…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Bo Liang , He Wang

Analytic approximation methods in general relativity play a very important role when analyzing the gravitational wave signals recently discovered by the LIGO and Virgo detectors. In this contribution, we present the state-of-the-art and…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Luc Blanchet

Compact binary systems with total masses between tens and hundreds of solar masses will produce gravitational waves during their merger phase that are detectable by second-generation ground-based gravitational-wave detectors. In order to…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Kipp Cannon , Chad Hanna , Drew Keppel

Coalescing binary black-hole systems are among the most promising sources of gravitational waves for ground-based interferometers. While the \emph{inspiral} and \emph{ring-down} stages of the binary black-hole coalescence are well-modelled…

General Relativity and Quantum Cosmology · Physics 2008-11-26 P. Ajith