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For black-hole binaries whose spins are (anti-) aligned with respect to the orbital angular momentum of the binary, we compute the frequency domain phasing coefficients including the quadratic-in-spin terms up to the third post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Chandra Kant Mishra , Aditya Kela , K. G. Arun , Guillaume Faye

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…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Serge Droz

We extend the description of gravitational waves emitted by binary black holes during the final stages of inspiral and merger by introducing in the third post-Newtonian (3PN) effective-one-body (EOB) templates seven new ``flexibility''…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Thibault Damour , Bala R. Iyer , Piotr Jaranowski , B. S. Sathyaprakash

The linear- and quadratic-in-spin contributions to the binding potential and gravitational-wave flux from binary systems are derived to next-to-next-to-leading order in the Post-Newtonian (PN) expansion of general relativity, including…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Gihyuk Cho , Rafael A. Porto , Zixin Yang

This paper is motivated by the need to improve the post-Newtonian (PN) amplitude accuracy of waveforms for gravitational waves generated by inspiralling compact binaries, both for use in data analysis and in the comparison between…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Guillaume Faye , Luc Blanchet , Bala R. Iyer

Peters' formula is an analytical estimate of the time-scale of gravitational wave (GW)-induced coalescence of binary systems. It is used in countless applications, where the convenience of a simple formula outweighs the need for precision.…

Astrophysics of Galaxies · Physics 2021-07-07 Lorenz Zwick , Pedro R. Capelo , Elisa Bortolas , Veronica Vazquez-Aceves , Lucio Mayer , Pau Amaro-Seoane

Binary systems emit gravitational waves in a well-known pattern; for binaries in circular orbits, the emitted radiation has a frequency that is twice the orbital frequency. Systems in eccentric orbits, however, emit gravitational radiation…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-13 E. F. D. Evangelista , J. C. N. de Araujo

The pulsar timing residuals induced by gravitational waves from non-evolving single binary sources are affected by many parameters related to the relative positions of the pulsar and the gravitational wave sources. We will fully analyze the…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Ming-Lei Tong , Cheng-Shi Zhao , Bao-Rong Yan , Ting-Gao Yang , Yu-Ping Gao

In this paper, we calculate the frequencies of geodesic orbits in self-dual spacetime on the equatorial plane and obtain the leading-order effects of loop quantum parameters $P$ on the energy flux and angular momentum flux in eccentric…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Yunlong Liu , Xiangdong Zhang

(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

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luc Blanchet

Stellar-mass compact binaries in eccentric orbits are almost guaranteed sources of gravitational waves for Laser Interferometer Space Antenna. We present a prescription to compute accurate and efficient gravitational-wave polarizations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Manuel Tessmer , Achamveedu Gopakumar

Gravitational waves from binary neutron stars in quasiequilibrium circular orbits are computed using an approximate method which we propose in this paper. In the first step of this method, we prepare general relativistic irrotational binary…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Masaru Shibata , Koji Uryu

We derive the rate of change of the mean motion up to the second post-Newtonian order for inspiralling compact binaries with spin, mass quadrupole and magnetic dipole moments on eccentric orbits. We give this result in terms of orbital…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Mátyás Vasúth , Balázs Mikóczi , László Á. Gergely

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)…

General Relativity and Quantum Cosmology · Physics 2024-01-23 L. Blanchet , G. Faye , Q. Henry , F. Larrouturou , D. Trestini

We present the analytic evaluation of the gravitational energy and of the angular momentum flux with tidal effects for inspiraling compact binaries, at next-to-next-to-leading post-Newtoian (2PN) order, within the effective field theory…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Jan Steinhoff

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

Compact object binaries formed from dynamics interactions will generically have non-zero orbital eccentricity. The gravitational waves from such binaries can change drastically depending on how large the eccentricity is, ranging from…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Nicholas Loutrel

The gravitational radiation from point particle binaries is computed at the third post-Newtonian (3PN) approximation of general relativity. Three previously introduced ambiguity parameters, coming from the Hadamard self-field regularization…

General Relativity and Quantum Cosmology · Physics 2009-06-11 Luc Blanchet , Thibault Damour , Gilles Esposito-Farese , Bala R. Iyer

The construction of ready to use templates for gravitational waves from spinning binaries is an important challenge in the investigation of detectable gravitational wave signals. Here we present a method to evaluate the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2008-11-26 János Majár , Mátyás Vasúth
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