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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

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

The effective one-body theories, introduced by Buonanno and Damour, are novel approaches to constructing a gravitational waveform template. By taking a gauge in which $\psi_{1}^{B}$ and $\psi_{3}^{B}$ vanish, we find a decoupled equation…

General Relativity and Quantum Cosmology · Physics 2023-07-28 Jiliang Jing , Sheng Long , Weike Deng , Mengjie Wang , Jieci Wang

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

We extend our research on the energy flux and waveform characteristics of gravitational waves generated by merging nonspinning binary black holes through self-consistent effective one-body theory \cite{L2023} to include binary systems with…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Weike Deng , Sheng Long , Jiliang Jing

We present a study on the energy radiation rate and waveforms of the gravitational wave generated by coalescing spinless binary systems up to the third post-Minkowskian approximation in the effective one-body theory. To derive an analytical…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Sheng Long , Weike Deng , Jiliang Jing

We present an accurate approximation of the full gravitational radiation waveforms generated in the merger of non-eccentric systems of two non-spinning black holes. Utilizing information from recent numerical relativity simulations and the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alessandra Buonanno , Yi Pan , John G. Baker , Joan Centrella , Bernard J. Kelly , Sean T. McWilliams , James R. van Meter

We compute the periastron advance using the effective-one-body formalism for binary black holes moving on quasi-circular orbits and having spins collinear with the orbital angular momentum. We compare the predictions with the periastron…

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…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Thibault Damour

Driven by advances in scattering amplitudes and worldline-based methods, recent years have seen significant progress in our ability to calculate gravitational two-body scattering observables. These observables effectively encapsulate the…

General Relativity and Quantum Cosmology · Physics 2024-11-21 Alessandra Buonanno , Gustav Mogull , Raj Patil , Lorenzo Pompili

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

We generalize to the case of spinning black holes a recently introduced ``effective one-body'' approach to the general relativistic dynamics of binary systems. The combination of the effective one-body approach, and of a Pad\'e definition…

General Relativity and Quantum Cosmology · Physics 2008-11-26 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 update the analytical estimate of the final spin of a coalescing black-hole binary derived within the Effective-One-Body (EOB) approach. We consider unequal-mass non-spinning black-hole binaries. It is found that a more complete account…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Alessandro Nagar

We describe a systematic framework for computing the conservative potential of a compact binary system using modern tools from scattering amplitudes and effective field theory. Our approach combines methods for integration and matching…

High Energy Physics - Theory · Physics 2020-02-17 Zvi Bern , Clifford Cheung , Radu Roiban , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

We compute the rotations, during a scattering encounter, of the spins of two gravitationally interacting particles at second-order in the gravitational constant (second post-Minkowskian order). Following a strategy introduced in Phys. Rev.…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Donato Bini , Thibault Damour

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

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

A novel approach for extracting gauge-invariant information about spin-orbit coupling in gravitationally interacting binary systems is introduced. This approach is based on the "scattering holonomy", i.e. the integration (from the infinite…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Donato Bini , Thibault Damour

We investigate the non-adiabatic dynamics of spinning black hole binaries by using an analytical Hamiltonian completed with a radiation-reaction force, containing spin couplings, which matches the known rates of energy and angular momentum…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Alessandra Buonanno , Yanbei Chen , Thibault Damour
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