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The standard post-Newtonian approximation to gravitational waveforms, called T-approximants, from non-spinning black hole binaries are known not to be sufficiently accurate close to the last stable orbit of the system. A new approximation,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Edward K. Porter , B. S. Sathyaprakash

We first use five non-spinning and two mildly spinning (chi_i \simeq -0.44, +0.44) numerical-relativity waveforms of black-hole binaries and calibrate an effective-one-body (EOB) model for non-precessing spinning binaries, notably its…

General Relativity and Quantum Cosmology · Physics 2012-08-22 Andrea Taracchini , Yi Pan , Alessandra Buonanno , Enrico Barausse , Michael Boyle , Tony Chu , Geoffrey Lovelace , Harald P. Pfeiffer , Mark A. Scheel

We improve the effective-one-body (EOB) description of nonspinning coalescing black hole binaries by incorporating several recent analytical advances, notably: (i) logarithmic contributions to the conservative dynamics; (ii) resummed…

General Relativity and Quantum Cosmology · Physics 2013-04-17 Thibault Damour , Alessandro Nagar , Sebastiano Bernuzzi

We explore the performance of an updated effective-one-body (EOB) model for spin-aligned coalescing black hole binaries designed to deal with any orbital configuration. The model stems from previous work involving the \TEOBResumS{} waveform…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Alessandro Nagar , Piero Rettegno

We provide a systematic analysis of the multipolar gravitational waveform, energy and angular momentum fluxes emitted by a nonspinning test particle orbiting a Kerr black hole along equatorial, eccentric orbits. These quantities are…

General Relativity and Quantum Cosmology · Physics 2022-03-31 Simone Albanesi , Alessandro Nagar , Sebastiano Bernuzzi

In the adiabatic post-Newtonian (PN) approximation, the phase evolution of gravitational waves (GWs) from inspiralling compact binaries in quasicircular orbits is computed by equating the change in binding energy with the GW flux. This…

General Relativity and Quantum Cosmology · Physics 2016-01-13 Shasvath J. Kapadia , Nathan K. Johnson-McDaniel , Parameswaran Ajith

Spin precession is a generic feature of compact binary coalescences, which leaves clear imprints in the gravitational waveforms. Building on previous work, we present an efficient time domain inspiral-merger-ringdown effective-one-body…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Rossella Gamba , Sarp Akçay , Sebastiano Bernuzzi , Jake Williams

We discuss the properties of the effective-one-body (EOB) multipolar gravitational waveform emitted by nonspinning black-hole binaries of masses $\mu$ and $M$ in the extreme-mass-ratio limit, $\mu/M=\nu\ll 1$. We focus on the transition…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu

We present the first systematic comparison between gravitational waveforms emitted by inspiralling, quasi-circular and nonspinning black hole binaries computed with three different approaches: second-order gravitational self-force (2GSF)…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Angelica Albertini , Alessandro Nagar , Adam Pound , Niels Warburton , Barry Wardell , Leanne Durkan , Jeremy Miller

We derive a point-mass (nonspinning) frequency-domain TaylorF2 phasing approximant at quasi-5.5 post-Newtonian (PN) accuracy for the gravitational wave from coalescing compact binaries. The new approximant is obtained by Taylor-expanding…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Francesco Messina , Reetika Dudi , Alessandro Nagar , Sebastiano Bernuzzi

Using state-of-the-art scattering results in post-Minkowskian (PM) gravity, we improve the tidal sector of four different flavors of the effective-one-body (EOB) formalism. We notably explore both adiabatic and post-adiabatic…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Malte Schulze , Sebastiano Bernuzzi , Piero Rettegno , Joan Fontbuté , Andrea Placidi , Thibault Damour

The conservative dynamics of gravitationally interacting two-point-mass systems has been recently determined at the fourth post-Newtonian (4PN) approximation [T.Damour, P.Jaranowski, and G.Sch\"afer, Phys. Rev. D 89, 064058 (2014)], and…

General Relativity and Quantum Cosmology · Physics 2015-05-01 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

In this paper we discuss the development of a fast and accurate waveform model for the quasi-circular orbital evolution of extreme-mass-ratio-inspirals (EMRIs). This model simply employs the data of a few numerical Teukoulsky-based energy…

General Relativity and Quantum Cosmology · Physics 2016-09-23 Wen-Biao Han

We introduce a new, resummed, analytical form of the post-Newtonian (PN), factorized, multipolar amplitude corrections $f_{\ell m}$ of the effective-one-body (EOB) gravitational waveform of spinning, nonprecessing, circularized, coalescing…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Alessandro Nagar , Abhay G. Shah

Tidal interactions in a coalescing binary neutron star (BNS) or neutron star-black hole (NSBH) system driven by gravitational wave (GW) radiation contain precious information about physics both at extreme density and in the highly…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Hang Yu , Shu Yan Lau

Observations of transient gravitational wave (GW) events with non-negligible orbital eccentricity can be highly rewarding from astrophysical considerations. Ready-to-use fully analytic frequency domain inspiral GW templates are crucial…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Srishti Tiwari , Achamveedu Gopakumar

We construct a new factorized waveform including $(l,|m|)=(2,2),(2,1),(3,3),(4,4)$ modes based on effective-one-body (EOB) formalism, which is valid for spinning binary black holes (BBH) in general equatorial orbit. When combined with the…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Xiaolin Liu , Zhoujian Cao , Zong-Hong Zhu

The two-body problem in General Relativity has been the subject of many analytical investigations. After reviewing some of the methods used to tackle this problem (and, more generally, the N-body problem), we focus on a new, recently…

General Relativity and Quantum Cosmology · Physics 2013-12-13 Thibault Damour

In recent years, significant progress has been made in the computation of conservative and dissipative scattering observables using the post-Minkowskian approach to gravitational dynamics. However, for accurate modeling of unbound orbits,…

General Relativity and Quantum Cosmology · Physics 2023-07-18 Karthik Rajeev , S. Shankaranarayanan

Complete waveform models able to account for arbitrary non-planar orbits represent a holy grail in current gravitational-wave astronomy. Here, we take a step towards this direction and present a simple yet efficient prescription to obtain…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Rossella Gamba , Danilo Chiaramello , Sayan Neogi