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Related papers: Spin-spin effects in radiating compact binaries

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We compute the variation of the Fokker-Wheeler-Feynman total linear and angular momentum of a gravitationally interacting binary system under the second post-Minkowskian retarded dynamics. The resulting $O(G^2)$ equations-of-motion-based,…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Donato Bini , Thibault Damour

We derive the secular evolution of the orbital elements of a stellar-mass object orbiting a spinning massive black hole. We use the post-Newtonian approximation in harmonic coordinates, with test-body equations of motion for the…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Clifford M. Will , Matthew Maitra

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

Dense stellar systems such as globular clusters are believed to harbor merging binary black holes (BHs). The evolution of such binaries is driven by interactions with other stars, most notably, binary-single interactions. Traditionally,…

High Energy Astrophysical Phenomena · Physics 2019-07-31 Adrian S. Hamers , Johan Samsing

The loss of orbital energy and angular momentum to gravitational waves produced in a binary inspiral forces the orbital eccentricity to adiabatically evolve and oscillate. For comparable-mass binaries, the osculating eccentricity is thought…

General Relativity and Quantum Cosmology · Physics 2019-01-21 Nicholas Loutrel , Samuel Liebersbach , Nicolas Yunes , Neil Cornish

We derive the radiation reaction forces on a compact binary inspiral through 3.5 order in the post-Newtonian expansion using the effective field theory approach. We utilize a recent formulation of Hamilton's variational principle that…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Chad R. Galley , Adam K. Leibovich

We discuss the effects of the black holes' spin-multipole structure in the orbital dynamics of binary black holes according to general relativity, focusing on the leading-post-Newtonian-order couplings at each order in an expansion in the…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Justin Vines , Jan Steinhoff

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 present a novel calculation of the four-momentum that is radiated into gravitational waves during the scattering of two arbitrarily spinning bodies. Our result, which is accurate to leading order in $G$, to quadratic order in the spins,…

High Energy Physics - Theory · Physics 2022-08-05 Massimiliano Maria Riva , Filippo Vernizzi , Leong Khim Wong

We present the first set of numerical relativity simulations of binary neutron mergers that include spin precession effects and are evolved with multiple resolutions. Our simulations employ consistent initial data in general relativity with…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Tim Dietrich , Sebastiano Bernuzzi , Bernd Bruegmann , Maximiliano Ujevic , Wolfgang Tichy

We revisit the relativistic restricted two-body problem with spin employing a perturbation scheme based on Lie series. Starting from a post-Newtonian expansion of the field equations, we develop a first-order secular theory that reproduces…

General Relativity and Quantum Cosmology · Physics 2013-03-14 Francesco Biscani , Sante Carloni

We discuss the influence of tidal spin-orbit interactions on the orbital dynamics of close intermediate-mass X-ray binaries. In particular we consider here a process in which spin angular momentum of a contracting RLO donor star, in a…

Astrophysics · Physics 2007-05-23 T. M. Tauris , G. J. Savonije

A model of three-body motion is developed which includes the effects of gravitational radiation reaction. The radiation reaction due to the emission of gravitational waves is the only post-Newtonian effect that is included here. For…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Zachary E. Wardell

Compact binary systems coalesce over time due to the radiation of gravitational waves, following the field equations of general relativity. Conservation of energy and angular momentum gives a mathematical description for the evolution of…

High Energy Astrophysical Phenomena · Physics 2020-04-10 Lutendo Nyadzani , Soebur Razzaque

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

We derive the post-Newtonian next-to-leading order conservative spin-orbit and spin(a)-spin(b) gravitational interaction Hamiltonians for arbitrary many compact objects. The spin-orbit Hamiltonian completes the knowledge of Hamiltonians up…

General Relativity and Quantum Cosmology · Physics 2011-02-11 Johannes Hartung , Jan Steinhoff

The richness of dynamical behavior exhibited by the rotational states of various solar system objects has driven significant advances in the theoretical understanding of their evolutionary histories. An important factor that determines…

Earth and Planetary Astrophysics · Physics 2015-09-16 Konstantin Batygin , Alessandro Morbidelli

The back-reaction effects for the spinning charge moving through the constant homogeneous electromagnetic field are studied in the context of the mass-shift (MS) method. For the g=2 magnetic moment case we find the (complex) addition to the…

High Energy Physics - Theory · Physics 2007-05-23 S. L. Lebedev

We describe a systematic framework for finding the conservative potential of compact binary systems with spin based on scattering amplitudes of particles of arbitrary spin and effective field theory. An arbitrary-spin formalism is generally…

High Energy Physics - Theory · Physics 2021-09-22 Zvi Bern , Andres Luna , Radu Roiban , Chia-Hsien Shen , Mao Zeng

The gravitational-radiation-induced inspiral of a binary system of compact objects is considered. A scheme is described to model the regime in which the gravitational interaction is too strong to use weak-field approximation methods, but…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John T. Whelan
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