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We complete the computation of the gravitational waveform amplitude for non-spinning compact binaries to the third and a half post-Newtonian (PN) order in the quasi-circular case. This is done by performing a spin-weighted spherical…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Quentin Henry

Gravitational waveforms which describe the inspiral, merger and ringdown of coalescing binaries are usually constructed by synthesising information from perturbative descriptions, in particular post-Newtonian theory and black-hole…

General Relativity and Quantum Cosmology · Physics 2015-02-25 Juan Calderón Bustillo , Alejandro Bohé , Sascha Husa , Alicia M. Sintes , Mark Hannam , Michael Pürrer

We develop new strategies to build numerical relativity surrogate models for eccentric binary black hole systems, which are expected to play an increasingly important role in current and future gravitational-wave detectors. We introduce a…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Tousif Islam , Vijay Varma , Jackie Lodman , Scott E. Field , Gaurav Khanna , Mark A. Scheel , Harald P. Pfeiffer , Davide Gerosa , Lawrence E. Kidder

We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Michael D. Hartl , Alessandra Buonanno

We develop new high-order results for the post-Newtonian (PN) expansions of the energy and angular momentum fluxes at infinity for eccentric-orbit extreme-mass-ratio inspirals (EMRIs) on a Schwarzschild background. The series are derived…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Christopher Munna

Eccentric binaries are key targets for current and future gravitational wave (GW) detectors, offering unique insights into the formation and environments of compact binaries. However, accurately and efficiently modeling eccentric waveforms…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Gonzalo Morras

Accurate modeling of gravitational waves from binary black hole mergers is essential for extracting their rich physics. A key detail for understanding the physics of mergers is predicting the precise time when the amplitude of the…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Anuj Kankani , Sean T. McWilliams

We present simple procedures to construct quasi-circular initial data for numerical evolutions of binary black hole spacetimes. Our method consists of using Post-Newtonian theory in three ways: first to provide an initial guess for the…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Antoni Ramos-Buades , Sascha Husa , Geraint Pratten

We analyse an eleven-orbit inspiral of a non-spinning black-hole binary with mass ratio q=M1/M2=4. The numerically obtained gravitational waveforms are compared with post-Newtonian (PN) predictions including several sub-dominant multipoles…

General Relativity and Quantum Cosmology · Physics 2011-06-08 Ulrich Sperhake , Bernd Bruegmann , Doreen Mueller , Carlos F. Sopuerta

We derive Keplerian-type parametrization for the solution of post-Newtonian (PN) accurate conservative dynamics of spinning compact binaries moving in eccentric orbits. The PN accurate dynamics that we consider consists of the third…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Christian Koenigsdoerffer , Achamveedu Gopakumar

We present numerically-informed closed-form expressions for the dominant $(\ell,m)=(2,2)$ waveform harmonic of the post-merger emission from mergers of non-spinning binary black holes with comparable masses on highly eccentric orbits. Using…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Nishkal Rao , Gregorio Carullo

This article presents a study of the sufficient accuracy of post-Newtonian and numerical relativity waveforms for the most demanding usage case: parameter estimation of strong sources in advanced gravitational wave detectors. For black hole…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Ilana MacDonald , Samaya Nissanke , Harald P. Pfeiffer

We present Keplerian-type parametrization for the solution of third post-Newtonian (3PN) accurate equations of motion for two non-spinning compact objects moving in an eccentric orbit. The orbital elements of the parametrization are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Raoul-Martin Memmesheimer , Achamveedu Gopakumar , Gerhard Schäfer

The gravitational self-force (GSF) and post-Newtonian (PN) schemes are complementary approximation methods for modelling the dynamics of compact binary systems. Comparison of their results in an overlapping domain of validity provides a…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Sarp Akcay , Alexandre Le Tiec , Leor Barack , Norichika Sago , Niels Warburton

We introduce a new paradigm for constructing accurate analytic waveforms (and fluxes) for eccentric compact binaries. Our recipe builds on the standard Post-Newtonian (PN) approach but (i) retains implicit time-derivatives of the phase…

General Relativity and Quantum Cosmology · Physics 2022-09-01 Simone Albanesi , Andrea Placidi , Alessandro Nagar , Marta Orselli , Sebastiano Bernuzzi

We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian order. We further extend these results for compact binaries…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

We study the phenomenological consequences of amplitude-corrected post-Newtonian (PN) gravitational waveforms, as opposed to the more commonly used restricted PN waveforms, for the quasi-circular, adiabatic inspiral of compact binary…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chris Van Den Broeck , Anand S. Sengupta

We derive new terms in the post-Newtonian (PN) expansion of the generalized redshift invariant $\langle u^t \rangle_\tau$ for a small body in eccentric, equatorial orbit about a massive Kerr black hole. The series is computed analytically…

General Relativity and Quantum Cosmology · Physics 2023-11-09 Christopher Munna

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

We present our 3.5PN computation of the (2,2) mode of the gravitational wave amplitude emitted by compact binaries, on quasi-circular orbits and in the absence of spins. We use the multipolar post-Newtonian wave generation formalism,…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer