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This paper presents a post-Newtonian (PN) template family of gravitational waveforms from inspiralling compact binaries with non-precessing spins, where the spin effects are described by a single "reduced-spin" parameter. This template…

General Relativity and Quantum Cosmology · Physics 2011-10-20 P. Ajith

The increasing sensitivity of gravitational-wave detectors has brought about an increase in the rate of astrophysical signal detections as well as the rate of "glitches"; transient and non-Gaussian detector noise. Temporal overlap of…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Sophie Hourihane , Katerina Chatziioannou , Marcella Wijngaarden , Derek Davis , Tyson Littenberg , Neil Cornish

The post-Newtonian approximation is a method for solving Einstein's field equations for physical systems in which motions are slow compared to the speed of light and where gravitational fields are weak. Yet it has proven to be remarkably…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Clifford M. Will

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

This thesis is devoted to the investigations of gravitational wave (GW) data analysis from a continuous source e.g. a pulsar, a binary star system. The first Chapter is an introduction to gravitational wave and second Chapter is on the data…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. K. Sahay

First, for each case to be tested, a specific target inspiral signal is selected for parameter extraction. In a future real analysis, the target signal would be a real signal actually observed by a gravitational wave detector such as LISA.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James S. Graber

We re-express gravitational wave results in terms of post-Newtonian parameters. Using these expressions, and some simplifying assumptions, we compute that in a favorable case, i.e. a ten solar-mass black hole spiraling in to a 10^6…

General Relativity and Quantum Cosmology · Physics 2009-11-07 James S. Graber

The detection of the gravitational waves (GWs) emitted by precessing binaries of spinning compact objects is complicated by the large number of parameters (such as the magnitudes and initial directions of the spins, and the position and…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Yi Pan , Alessandra Buonanno , Yanbei Chen , Michele Vallisneri

We report on recent results obtained in the post-Newtonian framework for the modelling of the gravitational waves emitted by binary systems of spinning compact objects (black holes and/or neutron stars). These new results are obtained at…

General Relativity and Quantum Cosmology · Physics 2013-12-20 Sylvain Marsat , Luc Blanchet , Alejandro Bohe , Guillaume Faye

(Abridged) We revisit the problem of parameter estimation of gravitational-wave chirp signals from inspiralling non-spinning compact binaries in the light of the recent extension of the post-Newtonian (PN) phasing formula to order $(v/c)^7$…

General Relativity and Quantum Cosmology · Physics 2014-11-17 K. G. Arun , Bala R Iyer , B. S. Sathyaprakash , Pranesh A. Sundararajan

A parametrized multipolar gravitational wave phasing within multipolar post-Minkowskian and post-Newtonian formalism was developed in earlier works [S. Kastha et al., PRD 98, 124033 (2018) and PRD 100, 044007 (2019)]. This facilitates the…

General Relativity and Quantum Cosmology · Physics 2024-10-14 Parthapratim Mahapatra , Shilpa Kastha

[abridged] Although gravitational radiation causes inspiralling compact binaries to circularize, a variety of astrophysical scenarios suggest that binaries might have small but nonnegligible orbital eccentricities when they enter the…

General Relativity and Quantum Cosmology · Physics 2016-06-30 Blake Moore , Marc Favata , K. G. Arun , Chandra Kant Mishra

Gravitational wave observations have great potential to reveal new information about the fundamental nature of gravity, but extracting that information can be difficult. One popular technique is the parametrized inspiral test of general…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Scott Perkins , Nicolas Yunes

The gravitational wave emission from the merging binary neutron star system GW170817 arrived full of tidal information which can be used to probe the fundamental ultra-dense nuclear physics residing in these stars. In previous work, we used…

General Relativity and Quantum Cosmology · Physics 2020-09-23 Zack Carson , Andrew W. Steiner , Kent Yagi

Matched filtering is a commonly used technique in gravitational wave searches for signals from compact binary systems and from rapidly rotating neutron stars. A common issue in these searches is dealing with four extrinsic parameters which…

General Relativity and Quantum Cosmology · Physics 2017-07-27 Sanjeev Dhurandhar , Badri Krishnan , Joshua L. Willis

Matched filtering is a popular data analysis framework used to search for gravitational wave signals emitted by compact object binaries. The templates used in matched filtering searches are constructed predominantly from the quadrupolar…

General Relativity and Quantum Cosmology · Physics 2013-08-13 James Healy , Pablo Laguna , Larne Pekowsky , Deirdre Shoemaker

Recent discoveries of gravitational wave (GW) signals from astrophysical compact binary systems of neutron stars and black holes have firmly established them as prime sources for advanced GW detectors. Theoretical templates of expected…

General Relativity and Quantum Cosmology · Physics 2019-02-04 Soumen Roy , Anand S. Sengupta , Parameswaran Ajith

Detection and parameter inference of gravitational-wave signals \ncor{from compact mergers} rely on the comparison of the incoming detector strain data $d(t)$ to waveform templates for the gravitational-wave strain $h(t)$ that ultimately…

The detection of gravitational waves from compact binaries relies on a computationally burdensome processing of gravitational-wave detector data. The parameter space of compact-binary-coalescence gravitational waves is large and optimal…

Data Analysis, Statistics and Probability · Physics 2011-05-12 Kipp Cannon , Chad Hanna , Drew Keppel , Antony C. Searle

We develop a general formalism for the parameter-space metric of the multi-detector F-statistic, which is a matched-filtering detection statistic for continuous gravitational waves. We find that there exists a whole family of F-statistic…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Reinhard Prix