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Eccentricity of binary systems is not a gauge invariant quantity, but has an important impact on the observed gravitational wave signal of such systems, generating power in all possible harmonics of the orbital period. We here clarify the…

General Relativity and Quantum Cosmology · Physics 2019-01-21 Nicholas Loutrel , Samuel Liebersbach , Nicolas Yunes , Neil Cornish

Recent perturbative self-force computations (Shah, Friedman & Whiting, submitted to Phys. Rev. {\bf D}, arXiv:1312.1952 [gr-qc]), both numerical and analytical, have determined that half-integral post-Newtonian terms arise in the…

General Relativity and Quantum Cosmology · Physics 2014-03-14 Luc Blanchet , Guillaume Faye , Bernard F. Whiting

Standardizing the definition of eccentricity is necessary for unambiguous inference of the orbital eccentricity of compact binaries from gravitational wave observations. In previous works, we proposed a definition of eccentricity for…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Md Arif Shaikh , Vijay Varma , Antoni Ramos-Buades , Harald P. Pfeiffer , Michael Boyle , Lawrence E. Kidder , Mark A. Scheel

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

We construct an efficient frequency domain waveform for generic circular compact object binaries that include neutron stars. The orbital precession is solved on the radiation reaction timescale (and then transformed to the frequency…

General Relativity and Quantum Cosmology · Physics 2023-08-28 Michael LaHaye , Huan Yang , Béatrice Bonga , Zhenwei Lyu

Inspiralling binary systems of neutron stars or black holes are promising sources of gravitational radiation detectable by large-scale laser interferometric gravitational observatories, such as the US LIGO and Italian-French VIRGO projects.…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Clifford M. WILL

We use equations of motion containing gravitational radiation-reaction terms through 4.5 post-Newtonian order to calculate the late-time eccentricities of inspiraling binary systems of non-spinning compact bodies as they cross the detection…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Alexandria Tucker , Clifford M. Will

While the expectation is that the majority of gravitational wave events observable by ground-based detectors will be emitted by compact binaries in quasi-circular orbits, the growing number of detections suggests the possibility of…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Blake Moore , Nicolás Yunes

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…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

We calculate the gravitational waveform for spinning, precessing compact binary inspirals through second post-Newtonian order in the amplitude. When spins are collinear with the orbital angular momentum and the orbits are quasi-circular, we…

General Relativity and Quantum Cosmology · Physics 2013-03-19 Alessandra Buonanno , Guillaume Faye , Tanja Hinderer

We study parameter estimation of supermassive black hole binary systems in the final stage of inspiral using the full post-Newtonian gravitational waveforms. We restrict our analysis to systems in circular orbit with negligible spins, in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miquel Trias , Alicia M. Sintes

We derive the classical gravitational radiation from an aligned spin binary black hole on \textit{closed} orbits, using a dictionary built from the 5-point QFT scattering amplitude of two massive particles exchanging and emitting a…

High Energy Physics - Theory · Physics 2022-01-10 Yilber Fabian Bautista , Nils Siemonsen

Neutron star binaries and their associated gravitational wave signal facilitate precision tests of General Relativity. Any deviation of the detected gravitational waveform from General Relativity would therefore be a smoking gun signature…

General Relativity and Quantum Cosmology · Physics 2024-12-16 Robin Fynn Diedrichs , Daniel Schmitt , Laura Sagunski

Binary compact objects will be among the important sources for the future space-based gravitational wave detectors. Such binary compact objects include stellar massive binary black hole, binary neutron star, binary white dwarf and mixture…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Li-Fang Li , Zhoujian Cao

This study presents a thorough comparative analysis between post-Newtonian (PN) and numerically relativistic (NR) waveforms in eccentric orbits, covering nonspinning and spin-aligned configurations. The comparison examines frequency,…

General Relativity and Quantum Cosmology · Physics 2025-03-17 Hao Wang , Yuan-Chuan Zou , Qing-Wen Wu , Xiaolin Liu , Zhao Li

We present a systematic framework for computing frequency-domain gravitational waveforms from relativistic binary scattering in different asymptotic regimes. The method yields a controlled series expansion that can in principle be extended…

High Energy Physics - Theory · Physics 2025-11-03 Giacomo Brunello , Vsevolod Chestnov , Giulio Crisanti , Mathieu Giroux , Sid Smith

We compare different methods of computing the orbital eccentricity of quasi-circular binary black hole systems using the orbital variables and gravitational wave phase and frequency. For eccentricities of about a per cent, most methods work…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Abdul H. Mroué , Harald P. Pfeiffer , Lawrence E. Kidder , Saul A. Teukolsky

Contents: I. Introduction; II. Summary of optimal signal filtering; III. Newtonian binary polarization waveforms; IV. Newtonian orbital phase evolution; V. Post-Newtonian wave-generation; VI. Inspiral binary waveform.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

In this article, we focus on the effects of mass transfer between binary stars and stellar spin on the post-Newtonian (PN) orbital evolution and gravitational waveforms of compact binary systems. We employ the 2.5PN approximation and the…

General Relativity and Quantum Cosmology · Physics 2025-02-24 Yifan He , Jie Yang

Binary black hole systems are among the most important sources for gravitational wave detection. And also they are good objects for theoretical research for general relativity. Gravitational waveform template is important to data analysis.…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Zhoujian Cao , Wen-Biao Han