English
Related papers

Related papers: The complete non-spinning effective-one-body metri…

200 papers

Using a recent, novel Hamiltonian formulation of the gravitational interaction of spinning binaries, we extend the Effective One Body (EOB) description of the dynamics of two spinning black holes to next-to-leading order (NLO) in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

Building on a recent paper in which we computed the canonical Hamiltonian of a spinning test particle in curved spacetime, at linear order in the particle's spin, we work out an improved effective-one-body (EOB) Hamiltonian for spinning…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Enrico Barausse , Alessandra Buonanno

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

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

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 determine the general local-in-time effective-one-body (EOB) Hamiltonian for massless Scalar-Tensor (ST) theories at third post-Newtonian (PN) order. Starting from the Lagrangian derived in [Phys. Rev. D 99, 044047 (2019)], we map it to…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Tamanna Jain , Piero Rettegno , Michalis Agathos , Alessandro Nagar , Lorenzo Turco

In this work we present an analytical gravitational self-force calculation of the spin-orbit precession along an eccentric orbit around a Schwarzschild black hole, following closely the recent prescription of Akcay, Dempsey, and Dolan. We…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Chris Kavanagh , Donato Bini , Thibault Damour , Seth Hopper , Adrian C. Ottewill , Barry Wardell

We propose a way of including the next-to-leading (NLO) order spin-spin coupling into an effective-one-body (EOB) Hamiltonian. This work extends [S. Balmelli and P. Jetzer, Phys. Rev. D 87, 124036 (2013)], which is restricted to the case of…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Simone Balmelli , Philippe Jetzer

To build a self-consistent effective-one-body (EOB) theory, in which the Hamiltonian, radiation-reaction force and waveform for the "plus" and "cross" modes of the gravitational wave should be based on the same effective background…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Jiliang Jing , Shuai Chen , Manman Sun , Xiaokai He , Mengjie Wang , Jieci Wang

We present a first complete implementation of an effective-one-body (EOB) model for extreme-mass-ratio inspirals (EMRIs) that incorporates aligned spins (on both the primary and the secondary) as well as orbital eccentricity. The model…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Angelica Albertini , Rossella Gamba , Alessandro Nagar , Sebastiano Bernuzzi

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

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

Building on the recently computed next-to-next-to-leading order (NNLO) post-Newtonian (PN) spin-orbit Hamiltonian for spinning binaries \cite{Hartung:2011te} we extend the effective-one-body (EOB) description of the dynamics of two spinning…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alessandro Nagar

By means of the scattering angles, we obtain an effective metric of spinless binaries with radiation-reaction effects up to fourth post-Minkowskian order, which is the foundation of the effective-one-body theory. We note that there are…

General Relativity and Quantum Cosmology · Physics 2023-07-17 Jiliang Jing , Weike Deng , Sheng Long , Jieci Wang

We discuss various ways in which the computation of conservative Gravitational Self Force (GSF) effects on a point mass moving in a Schwarzschild background can inform us about the basic building blocks of the Effective One-Body (EOB)…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Thibault Damour

To establish a self-consistent effective one-body (EOB) theory that describes the dynamical evolution of binary systems based on the post-Minkowskian (PM) approximation, where the Hamiltonian, radiation reaction force, and waveforms are…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Jiliang Jing , Weike Deng , Sheng Long

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 build an effective-one-body (EOB) Hamiltonian at third post-Newtonian (3PN) order in scalar-tensor (ST) and Einstein-scalar-Gauss-Bonnet (ESGB) theories of gravity. The latter is an extension of general relativity that predicts scalar…

General Relativity and Quantum Cosmology · Physics 2023-06-08 Félix-Louis Julié , Vishal Baibhav , Emanuele Berti , Alessandra Buonanno

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 improve the effective-one-body (EOB) description of nonspinning coalescing black hole binaries by incorporating several recent analytical advances, notably: (i) logarithmic contributions to the conservative dynamics; (ii) resummed…

General Relativity and Quantum Cosmology · Physics 2013-04-17 Thibault Damour , Alessandro Nagar , Sebastiano Bernuzzi
‹ Prev 1 2 3 10 Next ›