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We present the two-body Hamiltonian and associated eikonal phase, to leading post-Minkowskian order, for infinitely many tidal deformations described by operators with arbitrary powers of the curvature tensor. Scattering amplitudes in…

High Energy Physics - Theory · Physics 2023-01-11 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Eric Sawyer , Chia-Hsien Shen

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present work we extend this approach…

High Energy Physics - Theory · Physics 2020-11-11 Clifford Cheung , Mikhail P. Solon

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

We compute the mass and current quadrupole tidal corrections to the four-momentum and energy flux radiated during the scattering of two spinless bodies, at leading order in $G$ and at all orders in the velocities, using the effective field…

High Energy Physics - Theory · Physics 2022-10-26 Stavros Mougiakakos , Massimiliano Maria Riva , Filippo Vernizzi

We determine the adiabatic tidal contributions to the radiation reacted momentum impulse $\Delta p_i^\mu$ and scattering angle $\theta$ between two scattered massive bodies (neutron stars) at next-to-next-to-leading post-Minkowskian (PM)…

High Energy Physics - Theory · Physics 2024-06-06 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Benjamin Sauer

Using state-of-the-art scattering results in post-Minkowskian (PM) gravity, we improve the tidal sector of four different flavors of the effective-one-body (EOB) formalism. We notably explore both adiabatic and post-adiabatic…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Malte Schulze , Sebastiano Bernuzzi , Piero Rettegno , Joan Fontbuté , Andrea Placidi , Thibault Damour

Dissipative tidal interactions can be used to probe the out-of-equilibrium physics of neutron stars using gravitational wave observations. In this paper, we present the first post-Newtonian (PN) corrections to the orbital dynamics of a…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Abhishek Hegade K. R. , Justin L. Ripley , Nicolás Yunes

Tidal interactions have a significant influence on the late dynamics of compact binary systems, which constitute the prime targets of the upcoming network of gravitational-wave detectors. We refine the theoretical description of tidal…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Donato Bini , Thibault Damour

Tidal effects have an important impact on the late inspiral of compact binary systems containing neutron stars. Most current models of tidal deformations of neutron stars assume that the tidal bulge is directly related to the tidal field…

General Relativity and Quantum Cosmology · Physics 2016-11-17 Jan Steinhoff , Tanja Hinderer , Alessandra Buonanno , Andrea Taracchini

The gravitational-wave signal from inspiralling neutron-star--neutron-star (or black-hole--neutron-star) binaries will be influenced by tidal coupling in the system. An important science goal in the gravitational-wave detection of these…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Donato Bini , Thibault Damour , Guillaume Faye

Gravitational waves emitted by coalescing binary systems containing neutron stars (or other compact objects) carry signatures of the stars' internal equation of state, notably, through the influence of tidal deformations during the binary's…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Batoul Banihashemi , Justin Vines

The gravitational wave signal from an inspiralling binary neutron star system will contain detailed information about tidal coupling in the system, and thus, about the internal physics of the neutron stars. To extract this information will…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Justin Vines , Tanja Hinderer , Éanna É. Flanagan

We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for a compact binary system, that is valid to second order in the post-Newtonian expansion. Our derivation uses the diagrammatic effective field theory…

High Energy Physics - Theory · Physics 2024-02-28 Manoj K. Mandal , Pierpaolo Mastrolia , Hector O. Silva , Raj Patil , Jan Steinhoff

We introduce a new methodology for deriving the conservative dynamics of gravitationally interacting binary systems. Our approach combines, in a novel way, several theoretical formalisms: post-Newtonian, post-Minkowskian,…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Donato Bini , Thibault Damour , Andrea Geralico

The Hamiltonian for a system of relativistic bodies interacting by their gravitational field is found in the post-Minkowskian approximation, including all terms linear in the gravitational constant. It is given in a surprisingly simple…

General Relativity and Quantum Cosmology · Physics 2010-03-03 Tomas Ledvinka , Gerhard Schaefer , Jiri Bicak

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

Within scalar-tensor (ST) theories, neutron stars in binary systems experience tidal deformations caused by both their companion and the scalar field. These deformations are strongly correlated to the star's internal structure and…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Eve Dones , Laura Bernard

We present the conservative dynamics of compact binaries to third order in the post-Minkowskian approximation in a theory that extends general relativity by a massless scalar field coupled to the Gauss-Bonnet invariant. We employ the…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Gabriel Luz Almeida , Yuchen Du , Zhengwen Liu , Hongbin Wang

Gravitational waves emitted in the late inspiral of binary neutron stars are affected by their tidal deformation. We study the tidal dynamics in full general relativity through matched-asymptotic expansions and prove that the dynamical…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Abhishek Hegade K. R. , K. J. Kwon , Tejaswi Venumadhav , Hang Yu , Nicolás Yunes

The tidal deformations of neutron stars within an inspiraling compact binary alter the orbital dynamics, imprinting a signature on the gravitational wave signal. Modeling this signal could be done with numerical-relativity simulations, but…

General Relativity and Quantum Cosmology · Physics 2020-07-13 Kevin Barkett , Yanbei Chen , Mark A. Scheel , Vijay Varma
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