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Very large mass ratio binary black hole systems are of interest both as a clean limit of the two-body problem in general relativity, as well as for their importance as sources of low-frequency gravitational waves. At lowest order, the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Lisa V. Drummond , Scott A. Hughes

We analytically compute, through the six-and-a-half post-Newtonian order, the second-order-in-eccentricity piece of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in eccentric orbit around a Schwarzschild black…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Donato Bini , Thibault Damour , Andrea Geralico

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

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 (first-order) gravitational self-force correction to the spin-orbit precession of a spinning compact body along a slightly eccentric orbit around a Schwarzschild black hole is computed through the ninth post-Newtonian order, improving…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Donato Bini , Thibault Damour , Andrea Geralico

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

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

Gravitational waves radiated during binary black hole coalescence is a perfect probe for studying the characteristics of strong gravity. Advanced techniques for creating numerical relativity substitute models for eccentric binary black hole…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Sourav Roy Chowdhury , Maxim Khlopov

Gravitational waves emitted by black-hole binary systems have the highest signal-to-noise ratio in LIGO and Virgo detectors when black-hole spins are aligned with the orbital angular momentum and extremal. For such systems, we extend the…

We continue the program of constructing, within the Effective-One-Body (EOB) approach, high-accuracy analytic waveforms describing the signal emitted by inspiralling and coalescing black hole binaries. Here, we compare a recently derived,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Alessandro Nagar , Ernst Nils Dorband , Denis Pollney , Luciano Rezzolla

We briefly discuss a method to construct a global, analytic, approximate spacetime for precessing, spinning binary black holes. The spacetime construction is broken into three parts: the inner zones are the spacetimes close to each black…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Hiroyuki Nakano , Brennan Ireland , Manuela Campanelli , Eric J. West

We present a calculation of the conservative two-body Hamiltonian of a compact binary system including a spinning black hole. We include up-to third order corrections in Newton's constant $G$, all orders in velocity, and linear and…

High Energy Physics - Phenomenology · Physics 2023-10-17 Fernando Febres Cordero

We present the state-of-the-art waveform model WaSABI-C for quasicircular inspirals of spinning black hole binaries with aligned or anti-aligned spins. Our model synthesizes the most up-to-date first- and second-order gravitational…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Loïc Honet , Josh Mathews , Geoffrey Compère , Adam Pound , Barry Wardell , Gabriel Andres Piovano , Maarten van de Meent , Niels Warburton

We consider a spinning test-body in circular motion around a nonrotating black hole and analyze different prescriptions for the body's dynamics. We compare, for the first time, the Mathisson-Papapetrou formalism under the Tulczyjew…

General Relativity and Quantum Cosmology · Physics 2019-08-08 Enno Harms , Georgios Lukes-Gerakopoulos , Sebastiano Bernuzzi , Alessandro Nagar

We construct a new global, fully analytic, approximate spacetime which accurately describes the dynamics of non-precessing, spinning black hole binaries during the inspiral phase of the relativistic merger process. This approximate solution…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Brennan Ireland , Bruno C. Mundim , Hiroyuki Nakano , Manuela Campanelli

Highly accurate models of the gravitational-wave signal from coalescing compact binaries are built by completing analytical computations of the binary dynamics with non-perturbative information from numerical relativity (NR) simulations. In…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Piero Rettegno , Geraint Pratten , Lucy Thomas , Patricia Schmidt , Thibault Damour

In this work the worldline quantum field theory (WQFT) approach to computing observables of the classical general relativistic two-body system is presented. Compact bodies such as black holes or neutron stars are described in an effective…

High Energy Physics - Theory · Physics 2023-08-09 Gustav Uhre Jakobsen

Recent studies have shown the surprising effectiveness of the small mass-ratio approximation (SMR) in modeling the relativistic two-body problem even at comparable masses. Up to now this effectiveness has been demonstrated only during…

General Relativity and Quantum Cosmology · Physics 2023-06-01 Sergi Navarro Albalat , Aaron Zimmerman , Matthew Giesler , Mark A. Scheel

We present a novel theoretical framework for analysing the stability of rotating black hole spacetimes through the conformal properties of the Weyl tensor. By introducing a new conformal invariant constructed from the electric and magnetic…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Nader Haddad

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola