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Related papers: Gravitational waves from compact binaries in post-…

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The article provides ready-to-use 1pN-accurate frequency-domain gravitational wave forms for eccentric nonspinning compact binaries of arbitrary mass ratio including the first post-Newtonian (1pN) point particle corrections to the far-zone…

General Relativity and Quantum Cosmology · Physics 2011-02-28 Manuel Tessmer , Gerhard Schaefer

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

Exploiting simple yet remarkable properties of relativistic gravitational scattering, we use first-order self-force (linear-in-mass-ratio) results to obtain arbitrary-mass-ratio results for the complete third-subleading post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

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…

General Relativity and Quantum Cosmology · Physics 2025-07-28 P. I. Dyadina

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Saeed Mirshekari

The rotation of the bodies and the eccentricity of the orbit have significant effects on the emitted gravitational radiation of binary systems. This work focuses on the evaluation of the gravitational wave polarization states for spinning…

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

An equation of motion for relativistic compact binaries is derived through the third post-Newtonian (3 PN) approximation of general relativity. The strong field point particle limit and multipole expansion of the stars are used to solve…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yousuke Itoh

We compute the radiation reaction force on the orbital motion of compact binaries to the 3.5 post-Newtonian (3.5PN) approximation, i.e. one PN order beyond the dominant effect. The method is based on a direct PN iteration of the near-zone…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Samaya Nissanke , Luc Blanchet

We complete the post-Newtonian (PN) prediction at the 3.5PN order for the spin contributions to the gravitational waveforms emitted by inspiraling compact binaries, in the case of quasi-circular, equatorial orbits, where both spins are…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Quentin Henry , Sylvain Marsat , Mohammed Khalil

Dimensional regularization is applied to the computation of the gravitational wave field generated by compact binaries at the third post-Newtonian (3PN) approximation. We generalize the wave generation formalism from isolated post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2007-12-19 Luc Blanchet , Thibault Damour , Gilles Esposito-Farese , Bala R. Iyer

In this work we consider compact binaries on eccentric orbit under the spin-spin interaction. Using the post-Newtonian formalism, the binaries undergo a perturbed Keplerian motion. Here we investigate only the radial motion and derive the…

Astrophysics · Physics 2007-05-23 Zoltán Keresztes , Balázs Mikóczi

Inspiralling compact binaries are ideally suited for application of a high-order post-Newtonian (PN) gravitational wave generation formalism. To be observed by the LIGO and VIRGO detectors, these very relativistic systems (with orbital…

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

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

We present a recently developed prescription to obtain ready-to-use gravitational wave (GW) polarization states for spinning compact binaries on hyperbolic orbits. We include leading order spin-orbit interactions, invoking 1.5PN-accurate…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Lorenzo De Vittori , Achamveedu Gopakumar , Anuradha Gupta , Philippe Jetzer

We have introduced a new method for computing gravitational-wave emission from nonspinning binaries which systematically unifies the various integrals arising in the Fourier expansions of post-Newtonian dynamics, providing a simple,…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Xiaolin Liu , Zhoujian Cao

We derive the metric on the parameter space of 3.5 post-Newtonian (3.5PN) stationary phase compact binary inspiral waveforms for a single detector, neglecting spin, eccentricity, and finite-body effects. We demonstrate that this leads to…

General Relativity and Quantum Cosmology · Physics 2013-09-11 Drew Keppel , Andrew P. Lundgren , Benjamin J. Owen , Hanyuan Zhu

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…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Ilana MacDonald , Abdul H. Mroue , Harald P. Pfeiffer , Michael Boyle , Lawrence E. Kidder , Mark A. Scheel , Bela Szilagyi , Nicholas W. Taylor

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…

General Relativity and Quantum Cosmology · Physics 2022-09-26 Vegard Undheim

Using the (3+1) formalism in general relativity, we perform the post-Newtonian(PN) approximation to clarify what sort of gauge condition is suitable for numerical analysis of coalescing compact binary neutron stars and gravitational waves…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Hideki Asada , Masaru Shibata , Toshifumi Futamase

Taking into account the mass transfer effect, we derive the equations of motion of a compact binary system at the second-half post-Newtonian order. Applying such equations of motion to quasi-circular orbits, we obtain the time derivative of…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Zi-Han Zhang , Tan Liu , Zong-Kuan Guo