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Related papers: Fourth post-Newtonian effective one-body dynamics

200 papers

We present an updated version of the TEOBResumS-Dali effective-one-body (EOB) waveform model for spin aligned binaries on non-circularized orbits. Recently computed 4PN (nonspinning) terms are incorporated in the waveform and radiation…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Alessandro Nagar , Rossella Gamba , Piero Rettegno , Veronica Fantini , Sebastiano Bernuzzi

Although the post-Newtonian Lagrangian formalism is widely used in relativistic dynamical and statistical studies of test bodies moving around arbitrary mass distributions, the corresponding general Hamiltonian formalism is still relatively…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Ronaldo S. S. Vieira , Javier Ramos-Caro , Alberto Saa

Starting from the recently derived conservative tail-of-tail action [D. Bini and T. Damour, arXiv:2504.20204 [hep-th]] we compute several dynamical observables of binary systems (Delaunay Hamiltonian, scattering angle), at the 6.5…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Donato Bini , Thibault Damour , Andrea Geralico

In this paper we address the two-body problem in massless Scalar-Tensor (ST) theories within an Effective-One-Body (EOB) framework. We focus on the first building block of the EOB approach, that is, mapping the conservative part of the…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Félix-Louis Julié , Nathalie Deruelle

Using the worldline effective field theory formalism, we derive the nonlocal-in-time conservative contributions arising from tail effects in gravitational scattering to fifth Post-Minkowskian (5PM) and tenth self-force (10SF) orders. The…

High Energy Physics - Theory · Physics 2026-04-29 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

Gravitational wave astronomy pipelines rely on template waveform models for searches and parameter estimation purposes. For coalescing binary neutron stars (BNS), such models need to accurately reproduce numerical relativity (NR) up to…

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 explore the performance of an updated effective-one-body (EOB) model for spin-aligned coalescing black hole binaries designed to deal with any orbital configuration. The model stems from previous work involving the \TEOBResumS{} waveform…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Alessandro Nagar , Piero Rettegno

We propose, within the effective one body (EOB) approach, a new, resummed, analytical representation of the gravitational wave energy flux absorbed by a system of two circularized (nonspinning) black holes. This expression is such to be…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Alessandro Nagar , Sarp Akcay

We calculate the renormalized effective 2-, 3-, and 4-body interactions for N neutral ultracold bosons in the ground state of an isotropic harmonic trap, assuming 2-body interactions modeled with the combination of a zero-range and…

Quantum Physics · Physics 2012-06-26 P. R. Johnson , D. Blume , X. Y. Yin , W. F. Flynn , E. Tiesinga

We derive the conservative part of the Lagrangian and the energy of a gravitationally bound two-body system at fourth post-Newtonian order, up to terms quadratic in the Newton constant. We also show that such terms are compatible with…

General Relativity and Quantum Cosmology · Physics 2013-03-14 Stefano Foffa , Riccardo Sturani

In the case of nonspinning compact binary systems on quasi-elliptic orbits, I obtain the conservative map between the constants of motion (energy and angular momentum) and the fundamental (radial and azimuthal) frequencies at the fourth…

General Relativity and Quantum Cosmology · Physics 2026-04-28 David Trestini

We compute to high post-Newtonian accuracy the 4-momentum (linear momentum, and energy), radiated as gravitational waves in a two-body system undergoing gravitational scattering. We include, for the first time, all the relevant {\it…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Donato Bini , Thibault Damour , Andrea Geralico

Building upon recent work, we present an improved effective-one-body (EOB) model for spin-aligned, coalescing, black hole binaries with generic orbital configurations, i.e. quasi-circular, eccentric or hyperbolic orbits. The model relies on…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Alessandro Nagar , Alice Bonino , Piero Rettegno

We extend the analytical determination of the main radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies beyond the 4th post-Newtonian approximation recently obtained by us. This…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Donato Bini , Thibault Damour

We complete the analytical determination, at the 4th post-Newtonian approximation, of the main radial potential describing the gravitational interaction of two bodies within the effective one-body formalism. The (non logarithmic)…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Donato Bini , Thibault Damour

We compute tail contributions to the conservative dynamics of a generic self-gravitating system, for every multipole order, of either electric and magnetic parity. Such contributions arise when gravitational radiation is backscattered by…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Gabriel Luz Almeida , Stefano Foffa , Riccardo Sturani

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

Using post-Newtonian equations of motion for fluid bodies valid to the second post-Newtonian order, we derive the equations of motion for binary systems with finite-sized, non-spinning but arbitrarily shaped bodies. In particular we study…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Mitchell , Clifford M. Will

Whilst most of the binary configurations in modified theories of gravity are studied under quasi-circular orbit limit, eccentricity effects could play a significant role in future gravitational wave detections. We derive the gravitational…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Tamanna Jain , Piero Rettegno