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Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thierry Mora , Clifford M. Will

The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Donato Bini , Thibault Damour , Andrea Geralico

We describe the formalism to compute gravitational-wave observables for compact binaries via the effective field theory framework in combination with modern tools from collider physics. We put particular emphasis on solving the "multi-loop"…

High Energy Physics - Theory · Physics 2023-04-05 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

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 next-to-next-to-leading order post-Newtonian (PN) spin-orbit Hamiltonian for two self-gravitating spinning compact objects. If at least one of the objects is rapidly rotating, then the corresponding interaction is comparable…

General Relativity and Quantum Cosmology · Physics 2012-08-16 Johannes Hartung , Jan Steinhoff

Given the absence of observations of black hole binaries, it is critical that the full range of accessible parameter space be explored in anticipation of future observation with gravitational wave detectors. To this end, we compile the…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Janna Levin , Sean T. McWilliams , Hugo Contreras

A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions.…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

The mass and spin of black holes (BHs) in binary systems may change due to the infall of gravitational-wave (GW) energy down the horizons. For spinning BHs, this effect enters at 2.5 post-Newtonian (PN) order relative to the leading-order…

General Relativity and Quantum Cosmology · Physics 2023-04-19 M. V. S. Saketh , Jan Steinhoff , Justin Vines , Alessandra Buonanno

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…

We determine the binding energy, the total gravitational wave energy flux, and the gravitational wave modes for a binary of rapidly spinning black holes, working in linearized gravity and at leading orders in the orbital velocity, but to…

General Relativity and Quantum Cosmology · Physics 2018-06-22 Nils Siemonsen , Jan Steinhoff , Justin Vines

We compute the far-field time-domain waveform of the gravitational waves produced in the scattering of two spinning massive objects. The results include linear-in-spin ($S$) couplings and first-order gravitational corrections ($G^3$), and…

High Energy Physics - Theory · Physics 2023-12-25 Lara Bohnenblust , Harald Ita , Manfred Kraus , Johannes Schlenk

We utilize generalized unitarity and recursion relations combined with effective field theory(EFT) techniques to compute spin dependent interaction terms for inspiralling binary systems in the post newtonian(PN) approximation. Using these…

High Energy Physics - Theory · Physics 2015-06-23 Varun Vaidya

We resolve subtleties in calculating the post-Minksowskian dynamics of binary systems, as a spin expansion, from massive scattering amplitudes of fixed finite spin. In particular, the apparently ambiguous spin Casimir terms can be fully…

High Energy Physics - Theory · Physics 2025-04-04 Dogan Akpinar , Fernando Febres Cordero , Manfred Kraus , Michael S. Ruf , Mao Zeng

Structure of spinning particle based on the rotating black hole solution is considered. It has gyromagnetic ratio $g=2$ and a nontrivial twistorial and stringy systems. The mass and spin appear from excitations of the Kerr circular string,…

High Energy Physics - Theory · Physics 2017-08-23 A. Burinskii

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

This work provides, at lower order, general analytical solutions for the orbital separation, merging time, and orbital frequency of binary systems emitting gravitational waves while being submitted to mass variations. Specific features,…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Baptiste Blachier , Aurélien Barrau , Killian Martineau , Cyril Renevey

We investigate the scattering of a spinning test particle by a Kerr black hole within the Mathisson-Papapetrou-Dixon model to linear order in spin. The particle's spin and orbital angular momentum are taken to be aligned with the black…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Donato Bini , Andrea Geralico , Justin Vines

The increasing interest in compact astrophysical objects (neutron stars, binaries, galactic black holes) has stimulated the search for rigorous methods, which allow a systematic general relativistic description of such objects. This paper…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Neugebauer , R. Meinel

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
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