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Gravitational-wave astronomers often wish to characterize the expected parameter-estimation accuracy of future observations. The Fisher matrix provides a lower bound on the spread of the maximum-likelihood estimator across noise…

General Relativity and Quantum Cosmology · Physics 2011-11-08 Michele Vallisneri

Gravitational-wave analyses depend heavily on waveforms that model the evolution of compact binary coalescences as seen by observing detectors. In many cases these waveforms are given by waveform approximants, models that approximate the…

General Relativity and Quantum Cosmology · Physics 2024-10-11 Quirijn Meijer , Sarah Caudill

With an increasing number of expected gravitational-wave detections of binary neutron star mergers, it is essential that gravitational-wave models employed for the analysis of observational data are able to describe generic compact binary…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Reetika Dudi , Tim Dietrich , Alireza Rashti , Bernd Bruegmann , Jan Steinhoff , Wolfgang Tichy

Once upon a time, predictions for the accuracy of inference on gravitational-wave signals relied on computationally inexpensive but often inaccurate techniques. Recently, the approach has shifted to actual inference on noisy signals with…

Instrumentation and Methods for Astrophysics · Physics 2015-12-09 Carl-Johan Haster , Ilya Mandel , Will M. Farr

Gravitational waves from compact binaries measured by the LIGO and Virgo detectors are routinely analyzed using Markov Chain Monte Carlo sampling algorithms. Because the evaluation of the likelihood function requires evaluating millions of…

Instrumentation and Methods for Astrophysics · Physics 2020-12-23 Arnaud Delaunoy , Antoine Wehenkel , Tanja Hinderer , Samaya Nissanke , Christoph Weniger , Andrew R. Williamson , Gilles Louppe

Low-latency pipelines analyzing gravitational waves from compact binary coalescence events rely on matched filter techniques. Limitations in template banks and waveform modeling, as well as non-stationary detector noise cause errors in…

General Relativity and Quantum Cosmology · Physics 2025-08-21 Sushant Sharma Chaudhary , Gianmarco Puleo , Marco Cavaglia

Gravitational wave background results from the superposition of gravitational waves generated from all sources across the Universe. Previous efforts on detecting such a background with pulsar timing arrays assume it is an isotropic Gaussian…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Xihao Deng

In coming years, gravitational wave detectors should find black hole-neutron star binaries, potentially coincident with astronomical phenomena like short GRBs. These binaries are expected to precess. Gravitational wave science requires a…

General Relativity and Quantum Cosmology · Physics 2014-02-19 A. Lundgren , R. O'Shaughnessy

Estimating the parameters of gravitational wave signals detected by ground-based detectors requires an understanding of the properties of the detectors' noise. In particular, the most commonly used likelihood function for gravitational wave…

Activities in data analysis and numerical simulation of gravitational waves have to date largely proceeded independently. In this work we study how waveforms obtained from numerical simulations could be effectively used within the data…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Baumgarte , Patrick Brady , Jolien D E Creighton , Luis Lehner , Frans Pretorius , Ricky DeVoe

In this paper, we systematically study gravitational waves (GWs) produced by remote compact astrophysical sources. To describe such GWs properly, we introduce three scales, $\lambda, \; L_c$ and $L$, denoting, respectively, the typical…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-30 Jared Fier , Xiongjun Fang , Bowen Li , Shinji Mukohyama , Anzhong Wang , Tao Zhu

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

We study gravitational waves emitted by a binary system of non-spinning bodies in a quasi-circular inspiral within the framework of Einstein-aether theory. In particular, we compute explicitly and analytically the expressions for the…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Chao Zhang , Xiang Zhao , Anzhong Wang , Bin Wang , Kent Yagi , Nicolas Yunes , Wen Zhao , Tao Zhu

We perform a state-of-the-art study of the cosmological phase transitions of the real-scalar extended Standard Model. We carry out a broad scan of the parameter space of this model at next-to-next-to-leading order in powers of couplings. We…

High Energy Physics - Phenomenology · Physics 2024-11-15 Oliver Gould , Paul Saffin

The use of the loudest observed event to generate statistical statements about rate and strength has become standard in searches for gravitational waves from compact binaries and pulsars. The Bayesian formulation of the method is…

General Relativity and Quantum Cosmology · Physics 2009-08-17 Rahul Biswas , Patrick R. Brady , Jolien D. E. Creighton , Stephen Fairhurst

Likelihood surfaces in the parameter space of gravitational wave signals can contain many secondary maxima, which can prevent search algorithms from finding the global peak and correctly mapping the distribution. Traditional schemes to…

General Relativity and Quantum Cosmology · Physics 2015-01-26 Robert H. Cole , Jonathan R. Gair

We introduce a highly-parallelizable architecture for estimating parameters of compact binary coalescence using gravitational-wave data and waveform models. Using a spherical harmonic mode decomposition, the waveform is expressed as a sum…

General Relativity and Quantum Cosmology · Physics 2015-08-06 C. Pankow , P. Brady , E. Ochsner , R. O'Shaughnessy

Amplitude and phase of the gravitational waveform from compact binary systems can be decomposed in terms of their mass- and current-type multipole moments. In a modified theory of gravity, one or more of these multipole moments could…

General Relativity and Quantum Cosmology · Physics 2024-10-14 Parthapratim Mahapatra , Shilpa Kastha , Anuradha Gupta , B. S. Sathyaprakash , K. G. Arun

Second generation interferometric gravitational wave detectors, such as Advanced LIGO and Advanced Virgo, are expected to begin operation by 2015. Such instruments plan to reach sensitivities that will offer the unique possibility to test…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Walter Del Pozzo , John Veitch , Alberto 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
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