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We ascertain the effectiveness of the second post-Newtonian approximation to the gravitational waves emitted during the adiabatic inspiral of a compact binary system as templates for signal searches with kilometer-scale interferometric…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Serge Droz , Eric Poisson

Complete expressions of time-domain gravitational waveforms for spinning binary inspirals via the post-Newtonian (PN) approximation would require determination of the phase, amplitude, inclination angle, precession phase and spin vectors as…

General Relativity and Quantum Cosmology · Physics 2010-01-19 Dong-Hoon Kim

We prove that the oft-used stationary-phase method gives a very accurate expression for the Fourier transform of the gravitational-wave signal produced by an inspiraling compact binary. We give three arguments. First, we analytically…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Serge Droz , Daniel J. Knapp , Eric Poisson , Benjamin J. Owen

We present a prescription to compute the time-domain gravitational wave (GW) polarization states associated with spinning compact binaries inspiraling along quasi-circular orbits. We invoke the orbital angular momentum ${\bf L}$ rather than…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Anuradha Gupta , Achamveedu Gopakumar

Accurate parameter estimation of gravitational waves from coalescing compact binary sources is a key requirement for gravitational-wave astronomy. Evaluating the posterior probability density function of the binary's parameters (component…

High Energy Astrophysical Phenomena · Physics 2015-06-12 R. J. E. Smith , K. Cannon , C. Hanna , D. Keppel , I. Mandel

The future detection of gravitational wave forces us to consider the many ways in which astrophysics, gravitational wave theory and fundamental theory will interact. In this paper, I summarize some recent work done to develop such an…

General Relativity and Quantum Cosmology · Physics 2011-12-19 Nicolas Yunes

Part A of this article is devoted to the general investigation of the gravitational-wave emission by post-Newtonian sources. We show how the radiation field far from the source, as well as its near-zone inner gravitational field, can (in…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luc Blanchet

A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions.…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

We present the first set of numerical relativity simulations of binary neutron mergers that include spin precession effects and are evolved with multiple resolutions. Our simulations employ consistent initial data in general relativity with…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Tim Dietrich , Sebastiano Bernuzzi , Bernd Bruegmann , Maximiliano Ujevic , Wolfgang Tichy

Gravitational waves generated by inspiralling compact binaries are investigated to the second--post-Newtonian (2PN) approximation of general relativity. Using a recently developed 2PN-accurate wave generation formalism, we compute the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Thibault Damour , Bala R. Iyer

Gravitational wave observations can potentially measure properties of neutron star equations of state by measuring departures from the point-particle limit of the gravitational waveform produced in the late inspiral of a neutron star…

General Relativity and Quantum Cosmology · Physics 2011-10-19 Charalampos Markakis , Jocelyn S. Read , Masaru Shibata , Koji Uryu , Jolien D. E. Creighton , John L. Friedman , Benjamin D. Lackey

Spinning neutron stars (NSs) can emit continuous gravitational waves (GWs) that carry a wealth of information about the compact object. If such a signal is detected, it will provide us with new insight into the physical properties of matter…

General Relativity and Quantum Cosmology · Physics 2023-09-12 Wen-Fan Feng , Tan Liu , Jie-Wen Chen , Yan Wang , Soumya D. Mohanty

Although the gravitational waves observed by advanced LIGO and Virgo are consistent with compact binaries in a quasi-circular inspiral prior to coalescence, eccentric inspirals are also expected to occur in Nature. Due to their complexity,…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Blake Moore , Travis Robson , Nicholas Loutrel , Nicolas Yunes

Gravitational waves from binary neutron star mergers provide critical insights into dense matter physics and strong-field gravity, yet accurate waveform modeling remains computationally intensive. We present a deep generative model for…

Astrophysics of Galaxies · Physics 2025-10-14 Mengfei Sun , Jie Wu , Jin Li , Brendan Mccane , Nan Yang , Xianghe Ma , Borui Wang , Minghui Zhang

We study gravitational wave searches for merging binary neutron stars (NSs). We use nonspinning template waveforms towards the signals emitted from aligned-spin NS-NS binaries, in which the spins of the NSs are aligned with the orbital…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Hee-Suk Cho , Chang-Hwan Lee

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,…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer

Gravitational waves from coalescing compact binaries are one of the most promising sources for detectors such as LIGO, Virgo and GEO600. If the components of the binary posess significant angular momentum (spin), as is likely to be the case…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Chris Van Den Broeck , Duncan A. Brown , Thomas Cokelaer , Ian Harry , Gareth Jones , B. S. Sathyaprakash , Hideyuki Tagoshi , Hirotaka Takahashi

We present a prescription to compute the time-domain gravitational wave (GW) polarization states associated with spinning compact binaries inspiraling along quasi-circular orbits. We invoke the orbital angular momentum $\vek L$ rather than…

General Relativity and Quantum Cosmology · Physics 2014-03-03 Anuradha Gupta , Achamveedu Gopakumar

The quest for gravitational waves from coalescing binaries is customarily performed by the LIGO-Virgo collaboration via matched filtering, which requires a detailed knowledge of the signal. Complete analytical coalescence waveforms are…

General Relativity and Quantum Cosmology · Physics 2010-11-04 R. Sturani , S. Fischetti , L. Cadonati , G. M. Guidi , J. Healy , D. Shoemaker , A. Viceré

In this paper, we focus on the effect of mass-transfer between compact binaries like neutron-star-neutron-star (NS-NS) systems and neutron-star-white-dwarf (NS-WD) systems on gravitational waves (GWs). We adopt the mass quadrupole formula…

General Relativity and Quantum Cosmology · Physics 2024-03-14 Zi-han Zhang , Bin Liu , Sheng-hua Yu , Jie Yang