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We provide the post-Newtonian (PN) waveform for binary systems in motion along generic planar orbits at 2.5PN accuracy, in terms of the dynamical variables of the effective one-body (EOB) formalism. In addition to the calculation of the…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Andrea Placidi , Gianluca Grignani , Troels Harmark , Marta Orselli , Sara Gliorio , Alessandro Nagar

Building on a recent paper in which we computed the canonical Hamiltonian of a spinning test particle in curved spacetime, at linear order in the particle's spin, we work out an improved effective-one-body (EOB) Hamiltonian for spinning…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Enrico Barausse , Alessandra Buonanno

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

We present an improved numerical relativity (NR) calibration of the new effective-one-body (EOB) model for coalescing non precessing spinning black hole binaries recently introduced by Damour and Nagar [Physical Review D 90, 044018 (2014)].…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Alessandro Nagar , Thibault Damour , Christian Reisswig , Denis Pollney

We present the first attempt at calibrating the effective-one-body (EOB) model to accurate numerical-relativity simulations of spinning, non-precessing black-hole binaries. Aligning the EOB and numerical waveforms at low frequency over a…

General Relativity and Quantum Cosmology · Physics 2010-05-27 Yi Pan , Alessandra Buonanno , Luisa T. Buchman , Tony Chu , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel

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 introduce \texttt{TEOBResumSP}: an efficient, accurate hybrid scheme for generating gravitational waveforms from spin-precessing compact binaries. The precessing waveforms are generated via the established technique of Euler rotating the…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Sarp Akcay , Rossella Gamba , Sebastiano Bernuzzi

The Effective One Body (EOB) formalism is an analytical approach which aims at providing an accurate description of the motion and radiation of coalescing binary black holes with arbitrary mass ratio. We review the basic elements of this…

General Relativity and Quantum Cosmology · Physics 2009-06-10 Thibault Damour , Alessandro Nagar

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

Building upon recent work, we present an improved effective-one-body (EOB) model for spin-aligned, coalescing, black hole binaries with generic orbital configurations, i.e. quasi-circular, eccentric or hyperbolic orbits. The model relies on…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Alessandro Nagar , Alice Bonino , Piero Rettegno

We introduce \TEOBiResumSM{}, a nonspinning inspiral-merger-ringdown waveform model built within the effective one body (EOB) framework that includes gravitational waveform modes beyond the dominant quadrupole $(\ell,|m|) = (2,2)$. The…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Alessandro Nagar , Geraint Pratten , Gunnar Riemenschneider , Rossella Gamba

A new scheme for computing dynamical evolutions and gravitational radiations for intermediate-mass-ratio inspirals (IMRIs) based on an effective one-body (EOB) dynamics plus Teukolsky perturbation theory is built in this paper. In the EOB…

General Relativity and Quantum Cosmology · Physics 2011-11-10 Wen-Biao Han , Zhoujian Cao

We present the first models of extreme-mass-ratio inspirals within the effective-one-body (EOB) formalism, focusing on quasi-circular orbits into non-rotating black holes. We show that the phase difference and (Newtonian normalized)…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Nicolas Yunes , Alessandra Buonanno , Scott A. Hughes , M. Coleman Miller , Yi Pan

Effective-one-body (EOB) models are based on analytical building blocks that, mathematically, are truncated Taylor series with logarithms. These functions are usually resummed using Pad\'e approximants obtained first assuming that the…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Alessandro Nagar , Danilo Chiaramello , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi , Veronica Fantini , Mattia Panzeri , Piero Rettegno

In the effective-one-body (EOB) approach the dynamics of two compact objects of masses m1 and m2 and spins S1 and S2 is mapped into the dynamics of one test particle of mass mu = m1 m2/(m1+m2) and spin S* moving in a deformed Kerr metric…

General Relativity and Quantum Cosmology · Physics 2011-12-01 Enrico Barausse , Alessandra Buonanno

We calibrate an effective-one-body (EOB) model to numerical-relativity simulations of mass ratios 1, 2, 3, 4, and 6, by maximizing phase and amplitude agreement of the leading (2,2) mode and of the subleading modes (2,1), (3,3), (4,4) and…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Yi Pan , Alessandra Buonanno , Michael Boyle , Luisa T. Buchman , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel

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

While most binary inspirals are expected to have circularized before they enter the LIGO/Virgo frequency band, a small fraction of those binaries could have non-negligible orbital eccentricity depending on their formation channel. Hence, it…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Mohammed Khalil , Alessandra Buonanno , Jan Steinhoff , Justin Vines

One of the open problems in developing binary black hole (BBH) waveforms for gravitational wave astronomy is to model the intermediate mass ratio regime and connect it to the extreme mass ratio regime. A natural approach is to employ the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Alessandro Nagar , James Healy , Carlos O. Lousto , Sebastiano Bernuzzi , Angelica Albertini

We present an updated version of the TEOBResumS-Dali effective-one-body (EOB) waveform model for spin aligned binaries on non-circularized orbits. Recently computed 4PN (nonspinning) terms are incorporated in the waveform and radiation…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Alessandro Nagar , Rossella Gamba , Piero Rettegno , Veronica Fantini , Sebastiano Bernuzzi