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A numerical-relativity calculation yields in general a solution of the Einstein equations including also a radiative part, which is in practice computed in a region of finite extent. Since gravitational radiation is properly defined only at…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Nigel T. Bishop , Luciano Rezzolla

The field of gravitational-wave astronomy has been opened up by gravitational-wave observations made with interferometric detectors. This review surveys the current state-of-the-art in gravitational-wave detectors and data analysis methods…

General Relativity and Quantum Cosmology · Physics 2021-08-10 Sarah Caudill , Shivaraj Kandhasamy , Claudia Lazzaro , Andrew Matas , Magdalena Sieniawska , Amber L. Stuver

Models of gravitational waveforms from coalescing black-hole binaries play a crucial role in the efforts to detect and interpret the signatures of those binaries in the data of large-scale interferometers. Here we summarize recent models…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Frank Ohme

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Luc Blanchet

Gravitational-wave sources offer us unique testbeds for probing strong-field, dynamical and nonlinear aspects of gravity. In this chapter, we give a brief overview of the current status and future prospects of testing General Relativity…

General Relativity and Quantum Cosmology · Physics 2021-11-15 Zack Carson , Kent Yagi

The hypothesis of an alternative way of obtaining gravitational waves is the physical motivation of this article. Using the linear field approximation and a symmetry transformation of the affine connection, new field equations and new gauge…

General Physics · Physics 2022-09-14 Sergio Giardino

The recent breakthroughs regarding the detection of compact binary mergers via gravitational waves opened up a new window to the Universe. Gravitational-wave models have been essential to this success since they are necessary to infer the…

General Relativity and Quantum Cosmology · Physics 2025-05-15 Adrian Abac , Anna Puecher , Jonathan Gair , Tim Dietrich

The paper presents a statistical model which reproduces the results of Monte Carlo simulations to estimate the parameters of the gravitational wave signal from a coalesing binary system. The model however is quite general and would be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Balasubramanian , S. V. Dhurandhar

The observations of gravitational-wave signals from astrophysical sources such as binary inspirals will be used to test General Relativity for self consistency and against alternative theories of gravity. I describe a simple formula that…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Michele Vallisneri

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

We provide details and present additional results on the numerical study of the gravitational-wave emission from the collapse of neutron stars to rotating black holes in three dimensions. More specifically, we concentrate on the advantages…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luca Baiotti , Ian Hawke , Luciano Rezzolla

We discuss polarization of gravitational radiation within the standard framework of linearized general relativity. The recent experimental discovery of gravitational waves provides the impetus to revisit the implications of the…

General Relativity and Quantum Cosmology · Physics 2022-12-22 Bahram Mashhoon , Sohrab Rahvar

In this lecture we describe the data analysis problem for insparlling binaries. We discuss the detection statistic, how to make realiable estimation and how to compute bias in the estimation of parameters. A combination of geometrical ideas…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. S. Sathyaprakash

Adaptive techniques are crucial for successful numerical modeling of gravitational waves from astrophysical sources such as coalescing compact binaries, since the radiation typically has wavelengths much larger than the scale of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kimberly C. B. New , Dae-Il Choi , Joan M. Centrella , Peter MacNeice , Mijan F. Huq , Kevin Olson

We present a systematic and robust approach to nonlinear gravitational perturbations of vacuum spacetimes. This approach provides a basis for a theory of nonlinear gravitational waves. In particular, we show that the system of perturbative…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Andrzej Rostworowski

Sources of high frequency gravitational waves are reviewed. Gravitational collapse, rotational instabilities and oscillations of the remnant compact objects are potentially important sources of gravitational waves. Significant and unique…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Kostas D. Kokkotas

The focus of this Chapter is on describing the prospective sources of the gravitational wave universe accessible to present and future observations, from kHz, to mHz down to nano-Hz frequencies. The multi-frequency gravitational wave…

High Energy Astrophysical Phenomena · Physics 2017-04-26 Monica Colpi , Alberto Sesana

For the analysis of gravitational-wave signals, fast and accurate gravitational-waveform models are required. These enable us to obtain information on the system properties from compact binary mergers. In this article, we introduce the…

General Relativity and Quantum Cosmology · Physics 2024-07-17 Adrian Abac , Tim Dietrich , Alessandra Buonanno , Jan Steinhoff , Maximiliano Ujevic

In this paper we provide a short overview of the scope and strong future potential of a multi-messenger approach to gravitational-wave astronomy, that seeks to optimally combine gravtitational wave and electromagnetic observations. We…

High Energy Astrophysical Phenomena · Physics 2015-09-22 XiLong Fan , Martin Hendry

In this letter we reflect on the propagation of gravitational waves in alternative theories of gravity, which are typically formulated using extra gravitational degrees of freedom in comparison to General Relativity. We propose to…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Jose A. R. Cembranos , Mario Coma Diaz , Prado Martin-Moruno