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Related papers: The general relativistic two body problem

200 papers

Building upon several recent advances in the development of effective-one-body models for spin-aligned eccentric binaries with individual masses $(m_1,m_2)$ we introduce a new EOB waveform model that aims at describing inspiralling binaries…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Alessandro Nagar , Simone Albanesi

We survey theoretical and experimental/observational results on general-relativistic spin (rotation) effects in binary systems. A detailed discussion is given of the two-body Kepler problem and its first post-Newtonian generalization,…

General Relativity and Quantum Cosmology · Physics 2009-09-21 R. F. O'Connell

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 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

Many binary systems of interest for gravitational-wave astronomy are orbited by a third distant body, which can considerably alter their relativistic dynamics. Precision computations are needed to understand the interplay between…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Adrien Kuntz , Francesco Serra , Enrico Trincherini

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

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

Compact objects inspiraling into supermassive black holes, known as extreme-mass-ratio inspirals, are an important source for future space-borne gravitational-wave detectors. When constructing waveform templates, usually the adiabatic…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Chen Zhang , Wen-Biao Han , Xing-Yu Zhong , Gang Wang

We present a comprehensive comparison between numerical relativity (NR) angular momentum fluxes at infinity and the corresponding quantity entering the radiation reaction in TEOBResumS, an Effective-One-Body (EOB) waveform model for…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Angelica Albertini , Alessandro Nagar , Piero Rettegno , Simone Albanesi , Rossella Gamba

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

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

We calculate the motion of binary mass systems in gravity up to the fourth post--Newtonian order. We use momentum expansions within an effective field theory approach based on Feynman amplitudes in harmonic coordinates by applying…

General Relativity and Quantum Cosmology · Physics 2020-05-20 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

We present the first unified model for the general relativistic dynamics and gravitational radiation of generic compact binaries. TEOBResumS-Dal\'i is a model based on the effective-one-body framework incorporating tidal interactions,…

General Relativity and Quantum Cosmology · Physics 2025-03-20 Simone Albanesi , Rossella Gamba , Sebastiano Bernuzzi , Joan Fontbuté , Alejandra Gonzalez , Alessandro Nagar

The late part of the gravitational wave signal of binary neutron star inspirals can in principle yield crucial information on the nuclear equation of state via its dependence on relativistic tidal parameters. In the hope of analytically…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Thibault Damour , Alessandro Nagar

The two full body problem concerns the dynamics of two spatially extended rigid bodies (e.g. rocky asteroids) subject to mutual gravitational interaction. In this note we deduce the Euler-Poincare and Hamiltonian equations of motion using…

Classical Physics · Physics 2019-01-04 Tanya Schmah , Cristina Stoica

We present the first comparison of waveforms evaluated using the effective-one-body (EOB) approach and gravitational self-force (GSF) theory for inspiralling black hole binaries with a non-spinning primary and a spinning secondary. This…

General Relativity and Quantum Cosmology · Physics 2024-06-07 Angelica Albertini , Alessandro Nagar , Josh Mathews , Georgios Lukes-Gerakopoulos

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 compare two versions of the GW150914 gravitational wave signal analysis by the LIGO/Virgo collaboration. The first version was published in 2016 by this collaboration along with their announcement of the first experimental detection of…

General Relativity and Quantum Cosmology · Physics 2023-12-21 V. N. Yershov , A. A. Raikov , E. A. Popova

Since the breakthrough papers from 2005/2006, the field of numerical relativity has experienced a growth spurt that took the two-body problem in general relativity from the category of "really-hard-problems" to the realm of…

General Relativity and Quantum Cosmology · Physics 2011-07-20 Pedro Marronetti , Wolfgang Tichy

We improve the accuracy of the effective-one-body (EOB) waveforms that were employed during the first observing run of Advanced LIGO for binaries of spinning, nonprecessing black holes by calibrating them to a set of 141…