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It has long been known that gravitational waves from compact binary coalescing sources are responsible for a first-order displacement memory effect experienced by a pair of freely falling test masses. This constant displacement is sourced…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Atul K. Divakarla , Bernard F. Whiting

With the advanced LIGO and Virgo detectors taking observations the detection of gravitational waves is expected within the next few years. Extracting astrophysical information from gravitational wave detections is a well-posed problem and…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Tyson B. Littenberg , Jonah B. Kanner , Neil J. Cornish , Margaret Millhouse

We give an account of the gravitational memory effect in the presence of the exact plane wave solution of Einstein's vacuum equations. This allows an elementary but exact description of the soft gravitons and how their presence may be…

General Relativity and Quantum Cosmology · Physics 2017-09-13 P. M. Zhang , C. Duval , G. W. Gibbons , P. A. Horvathy

Gamma-ray bursts (GRBs) are among the most potent probes of Lorentz invariance violation (LIV), offering direct constraints on the quantum gravity energy scale ($E_{\rm QG}$) based on observations of energy-dependent time lags. Individual…

High Energy Astrophysical Phenomena · Physics 2025-12-30 Shen-Shi Du , Yi Gong , Jun-Jie Wei , Zi-Ke Liu , Zhi-Qiang You , Yan-Zhi Meng , Xing-Jiang Zhu

This review provides a conceptual and technical survey of methods for parameter estimation of gravitational wave signals in ground-based interferometers such as LIGO and Virgo. We introduce the framework of Bayesian inference and provide an…

General Relativity and Quantum Cosmology · Physics 2024-07-01 Javier Roulet , Tejaswi Venumadhav

We examine the potential for using the LIGO-Virgo-KAGRA network of gravitational-wave detectors to provide constraints on the physical properties of core-collapse supernovae through the observation of their gravitational radiation. We use…

High Energy Astrophysical Phenomena · Physics 2023-02-23 Gergely Dálya , Sibe Bleuzé , Bence Bécsy , Rafael S. de Souza , Tamás Szalai

Observations of gravitational waves from compact binary mergers have enabled unique tests of general relativity in the dynamical and non-linear regimes. One of the most important such tests are constraints on the post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Andrey A. Shoom , Pawan K. Gupta , Badri Krishnan , Alex B. Nielsen , Collin D. Capano

The detection of gravitational waves has offered us the opportunity to explore the dynamical and strong-field regime of gravity. Because matched filtering is more sensitive to variations in the gravitational waveform phase than the…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Shammi Tahura , Kent Yagi , Zack Carson

Searching for gravitational-wave signals is a challenging and computationally intensive endeavor undertaken by multiple independent analysis pipelines. While detection depends only on observed noisy data, it is sometimes inconsistently…

General Relativity and Quantum Cosmology · Physics 2024-03-15 Matthew Mould , Christopher J. Moore , Davide Gerosa

With laser interferometers, LIGO-Virgo collaboration has recently realized the direct detections of the intermediate-frequency (i.e., from dozens to hundreds of Hertz) gravitational waves (GWs) by probing their mechanically-tidal responses.…

General Relativity and Quantum Cosmology · Physics 2018-09-19 H. Zheng , L. F. Wei , H. Wen , F. Y. Li

Numerical relativists can now produce gravitational waveforms with memory effects routinely and accurately. The gravitational-wave memory effect contains very low-frequency components, including a persistent offset. The presence of these…

In this paper, we review the theoretical basis for generation of gravitational waves and the detection techniques used to detect a gravitational wave. To materialize this goal in a thorough way we first start with a mathematical background…

General Relativity and Quantum Cosmology · Physics 2024-01-01 Saibal Ray , R. Bhattacharya , Sanjay K. Sahay , Abdul Aziz , Amit Das

A variety of gravitational-wave transient sources can be modeled in the Fourier domain using a power law. This simple power-law model provides a reasonable approximation for gravitational-wave bursts from cosmic string cusps, cosmic string…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Atul K. Divakarla , Eric Thrane , Paul D. Lasky , Bernard F. Whiting

In the observation of gravitational waves (GWs) from a compact binary coalescence system where the mass of one of the companions is $\leq 5~M_{\odot}$ the nature of the object is ambiguous until the measurements of tidal effects give…

General Relativity and Quantum Cosmology · Physics 2021-12-20 Shubhanshu Tiwari , Michael Ebersold , Eleanor Z. Hamilton

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

Gravitational waves allow us to test general relativity in the highly dynamical regime. While current observations have been consistent with waves emitted by quasi-circular binaries, eccentric binaries may also produce detectable signals in…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Blake Moore , Nicolás Yunes

It may soon be possible for Advanced LIGO to detect hundreds of binary black hole mergers per year. We show how the accumulation of many such measurements will allow for the detection of gravitational-wave memory: a permanent displacement…

High Energy Astrophysical Phenomena · Physics 2016-08-10 Paul D. Lasky , Eric Thrane , Yuri Levin , Jonathan Blackman , Yanbei Chen

In testing gravity a model-independent way, one of crucial tests is measuring the propagation speed of a gravitational wave (GW). In general relativity, a GW propagates with the speed of light, while in the alternative theories of gravity…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Atsushi Nishizawa

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

This article, produced as part of an undergraduate research class, aims to provide an overview of gravitational waves, though it does not offer a comprehensive review. We begin with a brief discussion regarding the history of gravitational…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Chris Jia