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In this paper we include spin and multipole moment effects in the formalism used to describe the motion of extended objects recently introduced in hep-th/0409156. A suitable description for spinning bodies is developed and spin-orbit,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Rafael A. Porto

Using the worldline quantum field theory approach we derive solutions to the equations of motion for spinning massive bodies up to quadratic order in spins. At leading post-Minkowskian (PM) order these trajectories are obtained in the time…

High Energy Physics - Theory · Physics 2026-02-27 Gustav Mogull , Jan Plefka , Kathrin Stoldt

We study the spin dynamics of individual black holes in a binary system. In particular we focus on the polar precession of spins and the possibility of a complete flip of spins with respect to the orbital plane. We perform a full numerical…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Carlos O. Lousto , James Healy , Hiroyuki Nakano

Gravitational waves from spin-precessing binaries exhibit amplitude oscillations that provide an invaluable method to extract the spins of the inspiraling compact objects. The spin-spin and spin-orbit interactions that cause this effect are…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Nicholas Loutrel , Takahiro Tanaka , Nicolas Yunes

Using effective field theory techniques we compute the next to leading order Spin(1)Spin(1) terms in the potential of spinning compact objects at third Post-Newtonian order, including sub-leading self-induced finite size effects. This…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Rafael A. Porto , Ira Z. Rothstein

A summary is given of some results and perspectives of the hamiltonian ADM approach to 2+1 dimensional gravity. After recalling the classical results for closed universes in absence of matter we go over the the case in which matter is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pietro Menotti

We propose a way of including the next-to-leading (NLO) order spin-spin coupling into an effective-one-body (EOB) Hamiltonian. This work extends [S. Balmelli and P. Jetzer, Phys. Rev. D 87, 124036 (2013)], which is restricted to the case of…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Simone Balmelli , Philippe Jetzer

Recent perturbative self-force computations (Shah, Friedman & Whiting, submitted to Phys. Rev. {\bf D}, arXiv:1312.1952 [gr-qc]), both numerical and analytical, have determined that half-integral post-Newtonian terms arise in the…

General Relativity and Quantum Cosmology · Physics 2014-03-14 Luc Blanchet , Guillaume Faye , Bernard F. Whiting

The fulfillment of the space-asymptotic Poincar\'e algebra is used to derive new higher-order-in-spin interaction Hamiltonians for binary black holes in the Arnowitt-Deser-Misner canonical formalism almost completing the set of the formally…

General Relativity and Quantum Cosmology · Physics 2008-12-30 Steven Hergt , Gerhard Schäfer

We complete the post-Newtonian (PN) prediction at the 3.5PN order for the spin contributions to the gravitational waveforms emitted by inspiraling compact binaries, in the case of quasi-circular, equatorial orbits, where both spins are…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Quentin Henry , Sylvain Marsat , Mohammed Khalil

We implement the effective field theory for gravitating spinning objects in the post-Newtonian scheme at the next-to-next-to-leading order level to derive the gravitational spin-orbit interaction potential at the third and a half…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Michèle Levi , Jan Steinhoff

We revisit the problem of predicting the spin magnitude and direction of the black hole resulting from the merger of two black holes with arbitrary masses and spins inspiralling in quasi-circular orbits. We do this by analyzing a catalog of…

General Relativity and Quantum Cosmology · Physics 2016-07-13 Fabian Hofmann , Enrico Barausse , Luciano Rezzolla

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 describe an on-shell, amplitudes-based approach to incorporating radiation absorption effects in the post-Minkowskian scattering of generic, compact, spinning bodies. Classical spinning observables are recovered by extrapolating to large…

High Energy Physics - Theory · Physics 2026-01-05 Juan Pablo Gatica , Callum R. T. Jones

We construct an explicit electromagnetic analogue of the post-Newtonian Hamiltonian framework widely used in gravitational-wave physics. Starting from the Lorentz--Dirac equation and implementing Landau--Lifshitz order reduction, we derive…

Several scenarios have been proposed in which the orbits of binary black holes enter the band of a gravitational wave detector with significant eccentricity. To avoid missing these signals or biasing parameter estimation it is important…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Neil J. Cornish , Joey Shapiro Key

We study the dynamics of electrically charged black-hole binaries and their gravitational-wave emission during the inspiral phase. Within the post-Newtonian framework, we derive the conservative and dissipative dynamics up to second order…

High Energy Physics - Theory · Physics 2026-03-19 Andrea Placidi , Elisa Grilli , Marta Orselli , Matteo Pegorin , Nicola Bartolo , Pierpaolo Mastrolia

We review and summarize our results concerning the influence of the spins of a compact binary system on the motion of the binary and on its gravitational reaction. We describe briefly our method which lead us to compute the secular changes…

General Relativity and Quantum Cosmology · Physics 2007-05-23 László Á. Gergely , Zoltán Perjés , Mátyás Vasúth

In this paper, we compare the waveforms from the post-Newtonian (PN) approach with the numerical simulations of generic black-hole binaries which have mass ratio $q\sim0.8$, arbitrarily oriented spins with magnitudes $S_1/m_1^2\sim0.6$ and…

General Relativity and Quantum Cosmology · Physics 2009-01-27 Hiroyuki Nakano , Manuela Campanelli , Carlos O. Lousto , Yosef Zlochower

We reproduce the two-body gravitational conservative dynamics at third post-Newtonian order for spin-less sources by using the effective field theory methods for the gravitationally bound two-body system, proposed by Goldberger and…

General Relativity and Quantum Cosmology · Physics 2015-03-19 S. Foffa , R. Sturani
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