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Gravitational waves from inspiralling binaries are expected to be detected using a data analysis technique known as {\it matched filtering.} This technique is applicable whenever the form of the signal is known accurately. Though we know…

广义相对论与量子宇宙学 · 物理学 2010-01-06 B. S. Sathyaprakash

Coalescing binary systems are one of the most promising sources of gravitational waves. The technique of matched filtering used in the detection of gravitational waves from coalescing binaries relies on the construction of accurate…

广义相对论与量子宇宙学 · 物理学 2011-09-09 R. Balasubramanian , S. V. Dhurandhar

The order of the post-Newtonian expansion needed, to extract in a reliable and accurate manner the fully general relativistic gravitational wave signal from inspiralling compact binaries, is explored. A class of approximate wave forms,…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Thibault Damour , Bala R. Iyer , B. S. Sathyaprakash

We present further evidence that the second post-Newtonian (pN) approximation to the gravitational waves emitted by inspiraling compact binaries is sufficient for the detection of these systems. This is established by comparing the 2-pN…

广义相对论与量子宇宙学 · 物理学 2016-08-25 Serge Droz

The detection of gravitational waves from inspiraling compact binaries using matched filtering depends crucially on the availability of accurate template waveforms. We determine whether the accuracy of the templates' phasing can be improved…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Wolfgang Tichy , Eanna E. Flanagan , Eric Poisson

The accuracy of the post-Newtonian waveforms, both in standard and Pade form, is determined by computing their matched-filtering overlap integral with a reference waveform obtained from black-hole perturbation theory.

广义相对论与量子宇宙学 · 物理学 2007-05-23 Eric Poisson

The parameters of inspiralling compact binaries can be estimated using matched filtering of gravitational-waveform templates against the output of laser-interferometric gravitational-wave detectors. Using a recently calculated formula,…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Eric Poisson , Clifford M. Will

The precise knowledge of the gravitational phase evolution of compact binaries is crucial to the data analysis for gravitational waves. Until recently, it was known analytically (for non-spinning systems) up to the 3.5 post-Newtonian (PN)…

广义相对论与量子宇宙学 · 物理学 2024-01-23 L. Blanchet , G. Faye , Q. Henry , F. Larrouturou , D. Trestini

We study the phenomenological consequences of amplitude-corrected post-Newtonian (PN) gravitational waveforms, as opposed to the more commonly used restricted PN waveforms, for the quasi-circular, adiabatic inspiral of compact binary…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Chris Van Den Broeck , Anand S. Sengupta

Gravitational waves from compact binary inspirals offer a new opportunity to constrain the cosmological time dependence of gravitational coupling parameters, due to the high precision of the observations themselves as well as the…

广义相对论与量子宇宙学 · 物理学 2025-10-13 Oliver Pitt , Timothy Clifton

To enable detection and maximise the physics output of gravitational wave observations from compact binary systems, it is crucial the availability of accurate waveform models. The present work aims at giving an overview for non-experts of…

广义相对论与量子宇宙学 · 物理学 2021-09-22 Soichiro Isoyama , Riccardo Sturani , Hiroyuki Nakano

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…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Luc Blanchet

The effect of the recently obtained 2nd post-Newtonian corrections on the accuracy of estimation of parameters of the gravitational-wave signal from a coalescing binary is investigated. It is shown that addition of this correction degrades…

广义相对论与量子宇宙学 · 物理学 2016-08-31 ANDRZEJ KRÓLAK , KOSTAS D. KOKKOTAS , GERHARD SCHÄFER

We discuss gravitational waves from merging binaries using a Newtonian approach with some inputs from the Post-Newtonian formalism. We show that it is possible to understand the key features of the signal using fundamental physics and also…

科普物理 · 物理学 2019-12-20 Jahanvi , Ashish Kumar Meena , J. S. Bagla

The effect of the recently obtained 2nd post-Newtonian corrections on the accuracy of estimation of parameters of the gravitational-wave signal from a coalescing binary is investigated. It is shown that addition of this correction degrades…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Andrzej Królak , Kostas D. Kokkotas , Gerhard Schäfer

In this study, gravitational waveforms emitted by inspiralling compact binary systems on quasicircular orbits in hybrid metric-Palatini gravity are computed in the lowest post-Newtonian approximation. By applying the stationary phase…

广义相对论与量子宇宙学 · 物理学 2025-07-28 P. I. Dyadina

The purpose of this thesis is to calculate the relativistic correction to the gravitational waves produced by compact binaries in the inspiral phase. The correction is up to the next to leading order, the so-called first post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2022-09-26 Vegard Undheim

We formulate the data analysis problem for the detection of the Newtonian waveform from an inspiraling compact-binary by a network of arbitrarily oriented and arbitrarily distributed laser interferometric gravitational wave detectors. We…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Sukanta Bose , Archana Pai , Sanjeev Dhurandhar

The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

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…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Clifford M. Will
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