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We present our 3.5PN computation of the (2,2) mode of the gravitational wave amplitude emitted by compact binaries, on quasi-circular orbits and in the absence of spins. We use the multipolar post-Newtonian wave generation formalism,…

广义相对论与量子宇宙学 · 物理学 2012-10-09 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer

Several scenarios have been proposed in which the orbits of binary black holes enter the band of a gravitational wave detector with significant eccentricity. To avoid missing these signals or biasing parameter estimation it is important…

广义相对论与量子宇宙学 · 物理学 2015-03-17 Neil J. Cornish , Joey Shapiro Key

General relativity predicts the gravitational wave signatures of coalescing binary black holes. Explicit waveform predictions for such systems, required for optimal analysis of observational data, have so far been achieved using the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 John G. Baker , James R. van Meter , Sean T. McWilliams , Joan Centrella , Bernard J. Kelly

We compute the quadrupole mode of the gravitational waveform of inspiralling compact binaries at the third and a half post-Newtonian (3.5PN) approximation of general relativity. The computation is performed using the multipolar…

广义相对论与量子宇宙学 · 物理学 2012-10-01 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer

To be observed and analyzed by the network of current gravitational wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation ground based (Einstein Telescope, Cosmic Explorer) and space borne (LISA) detectors,…

广义相对论与量子宇宙学 · 物理学 2024-07-16 Luc Blanchet

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 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 compare waveforms and orbital dynamics from the first long-term, fully non-linear, numerical simulations of a generic black-hole binary configuration with post-Newtonian predictions. The binary has mass ratio q~0.8 with arbitrarily…

广义相对论与量子宇宙学 · 物理学 2009-11-13 Manuela Campanelli , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

The post-Newtonian expansion appears to be a relevant tool for predicting the gravitational waveforms generated by some astrophysical systems such as binaries. In particular, inspiralling compact binaries are well-modelled by a system of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Luc Blanchet

We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian order. We further extend these results for compact binaries…

广义相对论与量子宇宙学 · 物理学 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

The gravitational waveform (GWF) generated by inspiralling compact binaries moving in quasi-circular orbits is computed at the third post-Newtonian (3PN) approximation to general relativity. Our motivation is two-fold: (i) To provide…

广义相对论与量子宇宙学 · 物理学 2012-10-22 Luc Blanchet , Guillaume Faye , Bala R. Iyer , Siddhartha Sinha

The relativistic motion of a compact binary system moving in circular orbit is investigated using the post-Newtonian (PN) approximation and the perturbative self-force (SF) formalism. A particular gauge-invariant observable quantity is…

广义相对论与量子宇宙学 · 物理学 2015-05-19 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

The problem of a compact binary system whose components move on circular orbits is addressed using two different approximation techniques in general relativity. The post-Newtonian (PN) approximation involves an expansion in powers of…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

Gravitational waves from the coalescence of two black holes carry the signature of the strong field dynamics of binary black holes. In this work we have used numerical relativity simulations and post-Newtonian theory to investigate this…

广义相对论与量子宇宙学 · 物理学 2020-07-08 Ssohrab Borhanian , K. G. Arun , Harald P. Pfeiffer , B. S. Sathyaprakash

In this paper, we compare the waveforms from the post-Newtonian (PN) approach with the numerical simulations of generic black-hole binaries which have mass ratio $q\sim0.8$, arbitrarily oriented spins with magnitudes $S_1/m_1^2\sim0.6$ and…

广义相对论与量子宇宙学 · 物理学 2009-01-27 Hiroyuki Nakano , Manuela Campanelli , Carlos O. Lousto , Yosef Zlochower

Reliable predictions of general relativity theory are extracted using approximation methods. Among these, the powerful post-Newtonian approximation provides us with our best insights into the problems of motion and gravitational radiation…

广义相对论与量子宇宙学 · 物理学 2010-03-12 Luc Blanchet

This article studies sufficient accuracy criteria of hybrid post-Newtonian (PN) and numerical relativity (NR) waveforms for parameter estimation of strong binary black-hole sources in second- generation ground-based gravitational-wave…

Gravitational waveforms which describe the inspiral, merger and ringdown of coalescing binaries are usually constructed by synthesising information from perturbative descriptions, in particular post-Newtonian theory and black-hole…

广义相对论与量子宇宙学 · 物理学 2015-02-25 Juan Calderón Bustillo , Alejandro Bohé , Sascha Husa , Alicia M. Sintes , Mark Hannam , Michael Pürrer

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…

广义相对论与量子宇宙学 · 物理学 2013-12-20 Sylvain Marsat , Luc Blanchet , Alejandro Bohe , Guillaume Faye

The second post-Newtonian (2PN) contribution to the `plus' and `cross' gravitational wave polarizations associated with gravitational radiation from non-spinning, compact binaries moving in elliptic orbits is computed. The computation…

广义相对论与量子宇宙学 · 物理学 2009-11-07 A. Gopakumar , Bala R. Iyer
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