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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…

高能物理 - 理论 · 物理学 2021-11-24 Poul H. Damgaard , Pierre Vanhove

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…

广义相对论与量子宇宙学 · 物理学 2023-07-17 Jiliang Jing , Weike Deng , Sheng Long , Jieci Wang

We develop the foundations of an effective-one-body (EOB) model for eccentric binary coalescences that includes the conservative dynamics, radiation reaction, and gravitational waveform modes from the inspiral and the merger-ringdown…

广义相对论与量子宇宙学 · 物理学 2018-01-08 Tanja Hinderer , Stanislav Babak

A new analytical approach to the motion and radiation of (comparable mass) binary systems has been introduced in 1999 under the name of Effective One Body (EOB) formalism. We review the basic elements of this formalism, and discuss some of…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Thibault Damour

As recent work continues to demonstrate, the study of relativistic scattering processes leads to valuable insights and computational tools applicable to the relativistic bound-orbit two-body problem. This is particularly relevant in the…

广义相对论与量子宇宙学 · 物理学 2021-09-14 M. V. S. Saketh , Justin Vines , Jan Steinhoff , Alessandra Buonanno

We derive the gravitational radiation-reaction force modifying the Effective One Body (EOB) description of the conservative dynamics of binary systems. Our result is applicable to general orbits (elliptic or hyperbolic) and keeps terms of…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Donato Bini , Thibault Damour

A novel approach to the Effective One-Body description of gravitationally interacting two-body systems is introduced. This approach is based on the post-Minkowskian approximation scheme (perturbation theory in G, without assuming small…

广义相对论与量子宇宙学 · 物理学 2016-11-15 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…

广义相对论与量子宇宙学 · 物理学 2025-08-25 Aldo Gamboa , Mohammed Khalil , Alessandra Buonanno

The Effective-One-Body (EOB) formalism contains several flexibility parameters, notably $a_5$, $\vp$ and $\a$. We show here how to jointly constrain the values of these parameters by simultaneously best-fitting the EOB waveform to two,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thibault Damour , Alessandro Nagar , Mark Hannam , Sascha Husa , Bernd Brugmann

The conservative dynamics of gravitationally interacting two-point-mass systems has been recently determined at the fourth post-Newtonian (4PN) approximation [T.Damour, P.Jaranowski, and G.Sch\"afer, Phys. Rev. D 89, 064058 (2014)], and…

广义相对论与量子宇宙学 · 物理学 2015-05-01 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

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…

广义相对论与量子宇宙学 · 物理学 2013-12-13 Thibault Damour

The Effective One Body (EOB) formalism is an analytical approach which aims at providing an accurate description of the motion and radiation of coalescing binary black holes with arbitrary mass ratio. We review the basic elements of this…

广义相对论与量子宇宙学 · 物理学 2009-06-10 Thibault Damour , Alessandro Nagar

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…

广义相对论与量子宇宙学 · 物理学 2025-12-19 Jiliang Jing , Weike Deng , Sheng Long

Upcoming observational runs of the LIGO-Virgo-KAGRA collaboration, and future gravitational-wave (GW) detectors on the ground and in space, require waveform models more accurate than currently available. High-precision waveform models can…

广义相对论与量子宇宙学 · 物理学 2024-01-24 Mohammed Khalil , Alessandra Buonanno , Jan Steinhoff , Justin Vines

Effective-one-body (EOB) waveforms employed by the LIGO-Virgo-KAGRA Collaboration have primarily been developed by resumming the post-Newtonian expansion of the relativistic two-body problem. Given the recent significant advancements in…

广义相对论与量子宇宙学 · 物理学 2024-08-28 Alessandra Buonanno , Gustav Uhre Jakobsen , Gustav Mogull

We develop an Effective Field Theory (EFT) formalism to solve for the conservative dynamics of binary systems in gravity via Post-Minkowskian (PM) scattering data. Our framework combines a systematic EFT approach to compute the deflection…

高能物理 - 理论 · 物理学 2020-12-30 Gregor Kälin , Rafael A. Porto

We present a new approach to the conservative dynamics of binary systems, within the effective one-body (EOB) framework, based on the use of a Lagrange multiplier to impose the mass-shell constraint. When applied to the post-Minkowskian…

广义相对论与量子宇宙学 · 物理学 2026-02-03 Thibault Damour , Alessandro Nagar , Andrea Placidi , Piero Rettegno

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

We consider Detweiler's redshift variable $z$ for a nonspinning mass $m_1$ in circular motion (with orbital frequency $\Omega$) around a nonspinning mass $m_2$. We show how the combination of effective-one-body (EOB) theory with the first…

广义相对论与量子宇宙学 · 物理学 2016-06-22 Donato Bini , Thibault Damour

New structural properties of post-Minkowskian (PM) gravity are derived, notably within its effective one body (EOB) formulation. Our results concern both the mass dependence, and the high-energy behavior, of the classical scattering angle.…

广义相对论与量子宇宙学 · 物理学 2020-07-22 Thibault Damour
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