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Related papers: Gravitational spin-orbit coupling through the thir…

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We derive the gauge-general expressions of the two gyro-gravitomagnetic functions entering the spin-orbit sector of the effective-one-body (EOB) Hamiltonian up to the fifth-and-half post-Newtonian (5.5PN) order. Our results include both…

General Relativity and Quantum Cosmology · Physics 2025-11-24 Andrea Placidi , Luca Sebastiani , Gianluca Grignani

Exploiting simple yet remarkable properties of relativistic gravitational scattering, we use first-order self-force (linear-in-mass-ratio) results to obtain arbitrary-mass-ratio results for the complete third-subleading post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

The study of scattering encounters continues to provide new insights into the general relativistic two-body problem. The local-in-time conservative dynamics of an aligned-spin binary, for both unbound and bound orbits, is fully encoded in…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

Accurate waveform models are crucial for gravitational-wave data analysis, and since spin has a significant effect on the binary dynamics, it is important to improve the spin description in these models. In this paper, we derive the…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Mohammed Khalil

In this work we derive for the first time the complete gravitational cubic-in-spin effective action at the next-to-leading order in the post-Newtonian (PN) expansion for the interaction of generic compact binaries via the effective field…

High Energy Physics - Theory · Physics 2021-01-15 Michèle Levi , Stavros Mougiakakos , Mariana Vieira

We investigate the dynamics of spinning binaries of compact objects at the next-to-leading order in the quadratic-in-spin effects, which corresponds to the third post-Newtonian order (3PN). Using a Dixon-type multipolar formalism for…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Alejandro Bohé , Guillaume Faye , Sylvain Marsat , Edward K Porter

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

We derive Keplerian-type parametrization for the solution of post-Newtonian (PN) accurate conservative dynamics of spinning compact binaries moving in eccentric orbits. The PN accurate dynamics that we consider consists of the third…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Christian Koenigsdoerffer , Achamveedu Gopakumar

We present the derivation of the third subleading order (N$^3$LO) spin-orbit interaction at the state of the art of post-Newtonian (PN) gravity via the EFT of spinning objects. The present sector contains the largest and most elaborate…

High Energy Physics - Theory · Physics 2023-05-24 Jung-Wook Kim , Michèle Levi , Zhewei Yin

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…

General Relativity and Quantum Cosmology · Physics 2025-08-25 Aldo Gamboa , Mohammed Khalil , Alessandra Buonanno

We obtain for the first time all quadratic-in-spin interactions in spinning binaries at the third subleading order in post-Newtonian (PN) gravity, and provide their observable binding energies and their gauge-invariant relations to the…

High Energy Physics - Theory · Physics 2022-09-02 Jung-Wook Kim , Michèle Levi , Zhewei Yin

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

We discuss the analytical determination of the location of the Last Stable Orbit (LSO) in circular general relativistic orbits of two point masses. We use several different ``resummation methods'' (including new ones) based on the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thibault Damour , Piotr Jaranowski , Gerhard Schaefer

We derive spin-orbit coupling effects on the gravitational field and equations of motion of compact binaries in the 2.5 post-Newtonian approximation to general relativity, one PN order beyond where spin effects first appear. Our method is…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Hideyuki Tagoshi , Akira Ohashi , Benjamin J. Owen

We extend our previous work devoted to the computation of the next-to-next-to-leading order spin-orbit correction (corresponding to 3.5PN order) in the equations of motion of spinning compact binaries, by: (i) Deriving the corresponding…

General Relativity and Quantum Cosmology · Physics 2013-04-03 Alejandro Bohé , Sylvain Marsat , Guillaume Faye , Luc Blanchet

Gravitational waves provide us with a new window into our Universe, and have already been used to place strong constrains on the existence of light scalar fields, which are a common feature in many alternative theories of gravity. However,…

General Relativity and Quantum Cosmology · Physics 2021-10-28 Philippe Brax , Anne-Christine Davis , Scott Melville , Leong Khim Wong

We study the conservative dynamics of spinless compact objects in a general effective theory of gravity which includes a metric and an arbitrary number of scalar fields, through $\mathcal{O}(G^{3})$. Departures from Einstein gravity, which…

High Energy Physics - Theory · Physics 2025-08-14 Jordan Wilson-Gerow

We report on recent results obtained in the post-Newtonian framework for the modelling of the gravitational waves emitted by binary systems of spinning compact objects (black holes and/or neutron stars). These new results are obtained at…

General Relativity and Quantum Cosmology · Physics 2013-12-20 Sylvain Marsat , Luc Blanchet , Alejandro Bohe , Guillaume Faye

We obtain an efficient description for the dynamics of nonspinning compact binaries moving in inspiralling eccentric orbits to implement the phasing of gravitational waves from such binaries at the 3.5 post-Newtonian (PN) order. Our…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Koenigsdoerffer , Achamveedu Gopakumar

We derive the conservative dynamics of non-spinning binaries to third Post-Minkowskian order, using the Effective Field Theory (EFT) approach introduced in [2006.01184] together with the Boundary-to-Bound dictionary developed in…

High Energy Physics - Theory · Physics 2021-01-04 Gregor Kälin , Zhengwen Liu , Rafael A. Porto
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