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Gravitational waves (GWs) emitted by generic black-hole binaries show a rich structure that directly reflects the complex dynamics introduced by the precession of the orbital plane, which poses a real challenge to the development of generic…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Patricia Schmidt , Frank Ohme , Mark Hannam

In the age of multi-messenger astrophysics, low-latency parameter estimation of gravitational-wave signals is essential for electromagnetic follow-up observations. In this paper, we present a new edition of the Bayesian parameter estimation…

General Relativity and Quantum Cosmology · Physics 2022-01-17 Caitlin A. Rose , Vinaya Valsan , Patrick R. Brady , Sinead Walsh , Chris Pankow

Reliable low-latency gravitational wave parameter estimation is essential to target limited electromagnetic followup facilities toward astrophysically interesting and electromagnetically relevant sources of gravitational waves. In this…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Brandon Miller , Richard O'Shaughnessy , Tyson B. Littenberg , Ben Farr

Starting with a post-Newtonian description of compact binary systems, we derive a set of equations that describes the evolution of the orbital angular momentum and both spin vectors during inspiral. We find regions of phase space that…

Astrophysics · Physics 2009-11-10 Jeremy D. Schnittman

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…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

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

The effect of the recently obtained 2nd post-Newtonian corrections on the accuracy of estimation of parameters of the gravitational-wave signal from a coalescing binary is investigated. It is shown that addition of this correction degrades…

General Relativity and Quantum Cosmology · Physics 2016-08-31 ANDRZEJ KRÓLAK , KOSTAS D. KOKKOTAS , GERHARD SCHÄFER

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

We compute the overlap function between Post-Newtonian (PN) templates and gravitational signals emitted by binary systems composed of one neutron star and one point mass, obtained by a perturbative approach. The calculations are performed…

General Relativity and Quantum Cosmology · Physics 2009-11-07 E. Berti , J. A. Pons , G. Miniutti , L. Gualtieri , V. Ferrari

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

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 an analytic frequency-domain gravitational waveform model for an inspiraling binary whose center-of-mass undergoes a small acceleration, assumed to be constant during the detection, such as when it orbits a distant tertiary mass.…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Malcolm Lazarow , Nathaniel Leslie , Liang Dai

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

Recent advances in noncommutative geometry and string theory have stimulated increasing research on noncommutative gravity. The detection of gravitational waves~(GW) opens a new window for testing this theory using observed data. In…

General Relativity and Quantum Cosmology · Physics 2026-03-18 Hanlin Song , Hao Li , Zhenwei Lyu , Jie Zhu , Jun-Chen Wang , Peixiang Ji

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…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Manuela Campanelli , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

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

The post-Newtonian formalism plays an integral role in the models used to extract information from gravitational wave data, but models that incorporate this formalism are inherently approximations. Disagreement between an approximate model…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Caroline B. Owen , Carl-Johan Haster , Scott Perkins , Neil J. Cornish , Nicolás Yunes

We study generic tests of strong-field General Relativity using gravitational waves emitted during the inspiral of compact binaries. Previous studies have considered simple extensions to the standard post-Newtonian waveforms that differ by…

General Relativity and Quantum Cosmology · Physics 2013-05-22 Laura Sampson , Neil Cornish , Nicolas Yunes

Compact binary sources that emit gravitational waves (GW) are expected to be both spinning and on eccentric orbits. No closed-form expression for the phasing of GWs are available to date that contain information from both spin and…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Omkar Sridhar , Soham Bhattacharyya , Kaushik Paul , Chandra Kant Mishra

The prior knowledge of the gravitational waveform from compact binary systems makes matched filtering an attractive detection strategy. This detection method involves the filtering of the detector output with a set of theoretical waveforms…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Edward K. Porter