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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

We compare dynamics and waveforms from binary neutron star coalescence as computed by new long-term ($\sim 10 $ orbits) numerical relativity simulations and by the tidal effective-one-body (EOB) model including analytical tidal corrections…

General Relativity and Quantum Cosmology · Physics 2013-04-25 Sebastiano Bernuzzi , Alessandro Nagar , Marcus Thierfelder , Bernd Bruegmann

Coalescing binaries of neutron stars (NS) and black holes (BH) are one of the most important sources of gravitational waves for the upcoming network of ground based detectors. Detection and extraction of astrophysical information from…

General Relativity and Quantum Cosmology · Physics 2016-08-08 Prayush Kumar , Kevin Barkett , Swetha Bhagwat , Nousha Afshari , Duncan A. Brown , Geoffrey Lovelace , Mark A. Scheel , Béla Szilágyi

The data analysis of the gravitational wave signals emitted by coalescing neutron star binaries requires the availability of an accurate analytical representation of the dynamics and waveforms of these systems. We propose an…

General Relativity and Quantum Cosmology · Physics 2015-05-15 Sebastiano Bernuzzi , Alessandro Nagar , Tim Dietrich , Thibault Damour

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

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

Using the effective-one-body (EOB) formalism and a time-domain Teukolsky code, we generate inspiral, merger, and ringdown waveforms in the small mass-ratio limit. We use EOB inspiral and plunge trajectories to build the Teukolsky equation…

General Relativity and Quantum Cosmology · Physics 2012-01-27 Enrico Barausse , Alessandra Buonanno , Scott A. Hughes , Gaurav Khanna , Stephen O'Sullivan , Yi Pan

The effective one-body (EOB) theory provides an innovative framework for analyzing the dynamics of binary systems, as articulated by Hamilton's equations. This paper investigates a self-consistent EOB theory specifically tailored for the…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Jiliang Jing , Sheng Long , Weike Deng , Jieci Wang

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

The detection of gravitational waves and the extraction of physical information from them requires the prediction of accurate waveforms to be used in template banks. For that purpose, the accuracy of effective-one-body (EOB) waveforms has…

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

The use of effective-one-body (EOB) waveforms for black hole binaries analysis in gravitational-wave astronomy requires faithful models and fast generation times. A key aspect to achieve faithfulness is the inclusion of numerical-relativity…

General Relativity and Quantum Cosmology · Physics 2021-04-20 Gunnar Riemenschneider , Piero Rettegno , Matteo Breschi , Angelica Albertini , Rossella Gamba , Sebastiano Bernuzzi , Alessandro Nagar

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

We update the analytical estimate of the final spin of a coalescing black-hole binary derived within the Effective-One-Body (EOB) approach. We consider unequal-mass non-spinning black-hole binaries. It is found that a more complete account…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Alessandro Nagar

The Kerr nature of a compact-object-coalescence remnant can be unveiled by observing multiple quasi-normal modes (QNMs) in the post-merger signal. Current methods to achieve this goal rely on matching the data with a superposition of…

General Relativity and Quantum Cosmology · Physics 2018-10-31 Richard Brito , Alessandra Buonanno , Vivien Raymond

Binary neutron-star systems represent one of the most promising sources of gravitational waves. In order to be able to extract important information, notably about the equation of state of matter at nuclear density, it is necessary to have…

General Relativity and Quantum Cosmology · Physics 2011-10-13 Luca Baiotti , Thibault Damour , Bruno Giacomazzo , Alessandro Nagar , Luciano Rezzolla

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 calculate the linear momentum flux from merging black holes (BHs) with arbitrary masses and spin orientations, using the effective-one-body (EOB) model. This model includes an analytic description of the inspiral phase, a short merger,…

Astrophysics · Physics 2009-11-13 Jeremy D. Schnittman , Alessandra Buonanno

We present a new, tunable effective-one-body (EOB) model of the motion and radiation of coalescing black hole binaries with arbitrary mass ratio and aligned spins. The most novel feature of our formalism is the introduction, and systematic…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Thibault Damour , Alessandro Nagar

Effective one body numerical relativity waveform models for spin aligned binary black holes (SEOBNR) are based on the effective one body theoretical framework and numerical relativity simulation results. SEOBNR models have evolved through…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Xiaolin Liu , Zhoujian Cao , Lijing Shao