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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

Waveform models are important to gravitational wave data analysis. People recently pay much attention to the waveform model construction for eccentric binary black hole coalescence. Several Effective-One-Body Numerical-Relativity waveform…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Xiaolin Liu , Zhoujian Cao , Zong-Hong Zhu

Computationally efficient waveforms are of central importance for gravitational wave data analysis of inspiralling and coalescing compact binaries. We show that the post-adiabatic (PA) approximation to the effective-one-body (EOB)…

General Relativity and Quantum Cosmology · Physics 2019-11-26 Alessandro Nagar , Piero Rettegno

We describe a general procedure to generate spinning, precessing waveforms that include inspiral, merger and ringdown stages in the effective-one-body (EOB) approach. The procedure uses a precessing frame in which precession-induced…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Yi Pan , Alessandra Buonanno , Andrea Taracchini , Lawrence E. Kidder , Abdul H. Mroue , Harald P. Pfeiffer , Mark A. Scheel , Bela Szilagyi

Accurate waveform models for coalescing binaries on eccentric orbits are crucial for avoiding biases in the analysis of eccentric gravitational-wave signals. The effective-one-body (EOB) formalism combines various analytical approximation…

General Relativity and Quantum Cosmology · Physics 2025-08-25 Aldo Gamboa , Mohammed Khalil , Alessandra Buonanno

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

In Ref. [1], the properties of the first gravitational wave detected by LIGO, GW150914, were measured by employing an effective-one-body (EOB) model of precessing binary black holes whose underlying dynamics and waveforms were calibrated to…

General Relativity and Quantum Cosmology · Physics 2017-01-11 Stanislav Babak , Andrea Taracchini , Alessandra Buonanno

We compare recent numerical results, obtained within a ``helical Killing vector'' (HKV) approach, on circular orbits of corotating binary black holes to the analytical predictions made by the effective one body (EOB) method (which has been…

General Relativity and Quantum Cosmology · Physics 2009-11-07 T. Damour , E. Gourgoulhon , P. Grandclement

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 propose, within the effective one body (EOB) approach, a new, resummed, analytical representation of the gravitational wave energy flux absorbed by a system of two circularized (nonspinning) black holes. This expression is such to be…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Alessandro Nagar , Sarp Akcay

Extreme-mass-ratio-inspiral (EMRI) is one of the most important sources for the future space-borne gravitational wave detectors. In such kind of systems, the compact objects usually orbit around the central supermassive black holes with…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Chen Zhang , Wen-Biao Han , Shu-Cheng Yang

The relativistic 2-body problem, much like the non-relativistic one, is reduced to describing the motion of an effective particle in an external field. The concept of a relativistic reduced mass and effective particle energy introduced some…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. P. Fiziev , I. T. Todorov

The precise modeling of binary black hole coalescences in generic planar orbits is a crucial step to disentangle dynamical and isolated binary formation channels through gravitational-wave observations. The merger regime of such…

General Relativity and Quantum Cosmology · Physics 2024-04-26 Gregorio Carullo , Simone Albanesi , Alessandro Nagar , Rossella Gamba , Sebastiano Bernuzzi , Tomas Andrade , Juan Trenado

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

The effective-one-body theory (EOB) describes the conservative dynamics of compact binary systems in terms of an effective Hamiltonian approach. The Hamiltonian for moderately eccentric motion of two non-spinning compact objects in the…

General Relativity and Quantum Cosmology · Physics 2016-03-30 Sarp Akcay , Maarten van de Meent

In this paper we address the two-body problem in massless Scalar-Tensor (ST) theories within an Effective-One-Body (EOB) framework. We focus on the first building block of the EOB approach, that is, mapping the conservative part of the…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Félix-Louis Julié , Nathalie Deruelle

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 introduce \TEOBiResumSM{}, an improved version of the effective-one-body (EOB) waveform model \TEOBResumS{} for spin-aligned, coalescing black hole binaries, that includes subdominant gravitational waveform modes completed through merger…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Alessandro Nagar , Gunnar Riemenschneider , Geraint Pratten , Piero Rettegno , Francesco Messina

The Effective One-Body formalism of the gravitational two-body problem in general relativity is reconsidered in the light of recent scattering amplitude calculations. Based on the kinematic relationship between momenta and the effective…

High Energy Physics - Theory · Physics 2021-11-24 Poul H. Damgaard , Pierre Vanhove

In gravitational collapses, the horizon and singularity's realisation in the finite future of the proper time used co-moving observer happens in the future of infinitely far away future of the normal time used outside probe. To the latter…

General Relativity and Quantum Cosmology · Physics 2024-04-10 Ding-fang Zeng