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We introduce pyEFPEHM, a post-Newtonian (PN) inspiral waveform model for eccentric and spin-precessing compact binaries that includes higher-order modes and matter effects. Accurate and efficient waveform models capturing these effects are…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Gonzalo Morras , Geraint Pratten , Patricia Schmidt , Alessandra Buonanno

In this study we apply post-Newtonian (T-approximants) and resummed post-Newtonian (P-approximants) to the case of a test-particle in equatorial orbit around a Kerr black hole. We compare the two approximants by measuring their…

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

We provide a method for analytically constructing high-accuracy templates for the gravitational wave signals emitted by compact binaries moving in inspiralling eccentric orbits. By contrast to the simpler problem of modeling the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Thibault Damour , Achamveedu Gopakumar , Bala R. Iyer

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

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

The article provides full-analytic gravitational wave (GW) forms for eccentric nonspinning compact binaries of arbitrary mass ratio in the time Fourier domain. The semi-analytical property of recent descriptions, i.e. the demand of…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Manuel Tessmer , Gerhard Schaefer

We present $\texttt{ENIGMA}$, a time domain, inspiral-merger-ringdown waveform model that describes non-spinning binary black holes systems that evolve on moderately eccentric orbits. The inspiral evolution is described using a consistent…

The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation…

General Relativity and Quantum Cosmology · Physics 2017-12-22 Ryuichi Fujita , Norichika Sago , Hiroyuki Nakano

Future gravitational-wave detectors, especially the Laser Interferometer Space Antenna (LISA), will be sensitive to black hole binaries formed in astrophysical environments that promote large eccentricities and spin-induced orbital…

General Relativity and Quantum Cosmology · Physics 2024-08-29 J. Nijaid Arredondo , Antoine Klein , Nicolás Yunes

Gravitational waves allow us to test general relativity in the highly dynamical regime. While current observations have been consistent with waves emitted by quasi-circular binaries, eccentric binaries may also produce detectable signals in…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Blake Moore , Nicolás Yunes

Recently, a new class of restricted gravitational wave search templates, termed the TaylorEt template was proposed for the search of inspiralling compact binaries. The TaylorEt approximant is different from the usual time-domain…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Manuel Tessmer

The measurement of spin-precession and orbital eccentricity in gravitational-wave (GW) signals is a key priority in GW astronomy, as these effects not only provide insights into the astrophysical formation and evolution of compact binaries…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Gonzalo Morras , Geraint Pratten , Patricia Schmidt

Accurate modeling of gravitational waveforms from compact binary coalescences remains central to gravitational-wave (GW) astronomy. Post-Newtonian (PN) approximations capture the early inspiral dynamics analytically but break down near…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Jooheon Yoo , Michael Boyle , Nils Deppe

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

This paper is to introduce a new software called CBwaves which provides a fast and accurate computational tool to determine the gravitational waveforms yielded by generic spinning binaries of neutron stars and/or black holes on eccentric…

General Relativity and Quantum Cosmology · Physics 2013-02-13 Péter Csizmadia , Gergely Debreczeni , István Rácz , Mátyás Vasúth

We build two families of inspiral waveforms for precessing binaries on eccentric orbits in the Fourier domain. To achieve this, we use a small eccentricity expansion of the waveform amplitudes in order to separate the periastron precession…

General Relativity and Quantum Cosmology · Physics 2018-11-29 Antoine Klein , Yannick Boetzel , Achamveedu Gopakumar , Philippe Jetzer , Lorenzo de Vittori

In this work, we developed analytic asymptotic methods for computing the Fourier modes of gravitational waves from post-Newtonian binary systems in the quasi-Keplerian parametrization in the high eccentricity regime. We have also derived…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Xiaolin Liu , Zhoujian Cao

Nearly all template-based gravitational wave (GW) searches only include the quasi-circular quadrupolar modes of the signals in their templates. Including additional degrees of freedom in the GW templates corresponding to higher-order…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Digvijay Wadekar , Tejaswi Venumadhav , Javier Roulet , Ajit Kumar Mehta , Barak Zackay , Jonathan Mushkin , Matias Zaldarriaga

A new family of restricted post-Newtonian-accurate waveforms, termed TaylorEt approximants, was recently proposed for searching gravitational wave (GW) signals from inspiraling non-spinning compact binaries having arbitrary mass-ratios. We…

General Relativity and Quantum Cosmology · Physics 2012-02-29 Sukanta Bose , Achamveedu Gopakumar , Manuel Tessmer

Spherical harmonic modes of gravitational waveforms for inspiraling compact binaries in eccentric orbits from post-Newtonian (PN) theory accurate to third post-Newtonian order, and those extracted from numerical relativity (NR) simulations…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Abhishek Chattaraj , Tamal RoyChowdhury , Divyajyoti , Chandra Kant Mishra , Anshu Gupta