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We study the chaotic signatures of the geodesic dynamics of a non-spinning test particle in the effective-one-body (EOB) formalism for the inspiral process of spinning binary black holes. We first show that the second order post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2022-11-09 Che-Yu Chen , Feng-Li Lin , Avani Patel

We analyze a new numerical relativity dataset of spinning but nonprecessing binary black holes on eccentric orbits, with eccentricities from approximately $0.1$ to $0.5$, with dimensionless spins up to $0.75$ included at mass ratios…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Antoni Ramos-Buades , Sascha Husa , Geraint Pratten , Héctor Estellés , Cecilio García-Quirós , Maite Mateu-Lucena , Marta Colleoni , Rafel Jaume

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

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

We present a frequency domain reduced order model (ROM) for the aligned-spin effective-one-body (EOB) model for binary black holes (BBHs) SEOBNRv4HM that includes the spherical harmonics modes $(\ell, |m|) = (2,1),(3,3),(4,4),(5,5)$ beyond…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Roberto Cotesta , Sylvain Marsat , Michael Pürrer

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 present pySEOBNR, a Python package for gravitational-wave (GW) modeling developed within the effective-one-body (EOB) formalism. The package contains an extensive framework to generate state-of-the-art inspiral-merger-ringdown waveform…

General Relativity and Quantum Cosmology · Physics 2023-04-03 Deyan P. Mihaylov , Serguei Ossokine , Alessandra Buonanno , Hector Estelles , Lorenzo Pompili , Michael Pürrer , Antoni Ramos-Buades

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

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

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

As gravitational wave (GW) detector networks continue to improve in sensitivity, the demand on the accuracy of waveform models which predict the GW signals from compact binary coalescences is becoming more stringent. At high signal-to-noise…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Ritesh Bachhar , Michael Pürrer , Stephen R. Green

Pulsar Timing Arrays (PTAs) observations will detect gravitational waves (GWs) from the early inspiral phase of supermassive black hole binaries (SMBHBs) with orbital periods of weeks to years. Current PTA analyses generally assume circular…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Sara Manzini , Stanislav Babak

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 construct effective-one-body waveform models suitable for data analysis with LISA for extreme-mass ratio inspirals in quasi-circular, equatorial orbits about a spinning supermassive black hole. The accuracy of our model is established…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Nicolas Yunes , Alessandra Buonanno , Scott A. Hughes , Yi Pan , Enrico Barausse , M. Coleman Miller , William Throwe

For the first time, we construct an inspiral-merger-ringdown waveform model within the effective-one-body formalism for spinning, nonprecessing binary black holes that includes gravitational modes beyond the dominant $(\ell,|m|) = (2,2)$…

General Relativity and Quantum Cosmology · Physics 2022-07-22 Roberto Cotesta , Alessandra Buonanno , Alejandro Bohé , Andrea Taracchini , Ian Hinder , Serguei Ossokine

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

The self-force program aims at accurately modeling relativistic two-body systems with a small mass ratio (SMR). In the context of the effective-one-body (EOB) framework, current results from this program can be used to determine the…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Andrea Antonelli , Maarten van de Meent , Alessandra Buonanno , Jan Steinhoff , Justin Vines

We present a detailed comparison between tidal effective-one-body (EOB) models and new state-of-the-art numerical relativity simulations for non-spinning binary neutron star systems. This comparison is the most extensive one to date,…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Tim Dietrich , Tanja Hinderer

Coalescing binary black holes are among the primary science targets for second generation ground-based gravitational wave (GW) detectors. Reliable GW models are central to detection of such systems and subsequent parameter estimation. This…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Prayush Kumar , Tony Chu , Heather Fong , Harald P. Pfeiffer , Michael Boyle , Daniel A. Hemberger , Lawrence E. Kidder , Mark A. Scheel , Bela Szilagyi

We present a new effective-one-body (EOB) Hamiltonian with next-to-leading order (NLO) spin-spin coupling for black hole binaries endowed with arbitrarily oriented spins. The Hamiltonian is based on the model for parallel spins and…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Simone Balmelli , Thibault Damour
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