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We compute the first-order self-force contribution to Detweiler's redshift invariant for extended bodies endowed with both dipolar and quadrupolar structure (with spin-induced quadrupole moment) moving along circular orbits on a…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Donato Bini , Andrea Geralico , Jan Steinhoff

We present the first analytic computation of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in {\it eccentric} orbit around a {\it spinning} black hole. Our results give the redshift contributions that mix…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Donato Bini , Thibault Damour , Andrea Geralico

We present an analytic computation of Detweiler's redshift invariant for a point mass in a circular orbit around a Kerr black hole, giving results up to 8.5 post-Newtonian order while making no assumptions on the magnitude of the spin of…

General Relativity and Quantum Cosmology · Physics 2021-05-06 Chris Kavanagh , Adrian C. Ottewill , Barry Wardell

The Detweiler-Barack-Sago redshift function for particles moving along slightly eccentric equatorial orbits around a Kerr black hole is currently known up to the second order in eccentricity, second order in spin parameter, and the 8.5…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Donato Bini , Andrea Geralico

We analytically compute, through the six-and-a-half post-Newtonian order, the second-order-in-eccentricity piece of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in eccentric orbit around a Schwarzschild black…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Donato Bini , Thibault Damour , Andrea Geralico

We compute the linear metric perturbation to a Schwarzschild black hole generated by a spinning compact object, specialising to circular equatorial orbits with an (anti-)aligned spin vector. We derive a two-timescale expansion of the field…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Josh Mathews , Adam Pound , Barry Wardell

The (first-order) gravitational self-force correction to the spin-orbit precession of a spinning compact body along a slightly eccentric orbit around a Schwarzschild black hole is computed through the ninth post-Newtonian order, improving…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Donato Bini , Thibault Damour , Andrea Geralico

This paper presents the first calculation of the gravitational self-force on a small compact object on an eccentric equatorial orbit around a Kerr black hole to first order in the mass-ratio. That is the pointwise correction to the object's…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Maarten van de Meent

We analytically compute, to linear order in the mass-ratio, the "geodetic" spin precession frequency of a small spinning body orbiting a large (non-spinning) body to the eight-and-a-half post-Newtonian order, thereby extending previous…

General Relativity and Quantum Cosmology · Physics 2014-07-23 Donato Bini , Thibault Damour

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 consider spin-orbit ("geodetic") precession for a compact binary in strong-field gravity. Specifically, we compute $\psi$, the ratio of the accumulated spin-precession and orbital angles over one radial period, for a spinning compact…

General Relativity and Quantum Cosmology · Physics 2017-03-31 Sarp Akcay , David Dempsey , Sam Dolan

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

We study the metric perturbations induced by a classical spinning particle moving along a circular orbit on a Schwarzschild background, limiting the analysis to effects which are first order in spin. The particle is assumed to move on the…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Donato Bini , Thibault Damour , Andrea Geralico , Chris Kavanagh

We use the canonical Hamiltonian formalism to generalize to spinning point particles the first law of mechanics established for binary systems of non-spinning point masses moving on circular orbits [Le Tiec, Blanchet, and Whiting, Phys.…

General Relativity and Quantum Cosmology · Physics 2013-08-26 Luc Blanchet , Alessandra Buonanno , Alexandre Le Tiec

We compute next-to-next-to-leading order spin contributions to the post-Newtonian equations of motion for binaries of compact objects, such as black holes or neutron stars. For maximally spinning black holes, those contributions are of…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Sylvain Marsat , Alejandro Bohe , Guillaume Faye , Luc Blanchet

This paper extends the research on the self-consistent effective-one-body theory of a real spinless two-body system based on the post-Minkowskian approximation (Science China, 65, 100411, (2022)) to the case of a binary system for the…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Jiliang Jing , Weike Deng , Sheng Long , Jieci Wang

Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two non-spinning compact objects moving on circular orbits with frequency Omega, at leading order beyond the test-particle…

General Relativity and Quantum Cosmology · Physics 2012-08-22 Alexandre Le Tiec , Enrico Barausse , Alessandra Buonanno

The first- and second-order dissipative self force and the first order conservative self force are applied together with spin-orbit coupling to the quasi-circular motion of a test mass in the spacetime of a Schwarzschild black hole, for…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Lior M. Burko , Gaurav Khanna

We study the general relativistic periastron advance in spinning black hole binaries on quasi-circular orbits, with spins aligned or anti-aligned with the orbital angular momentum, using numerical-relativity simulations, the post-Newtonian…

We present a calculation of the Detweiler redshift factor in binary black hole simulations based on its relation to the surface gravity. The redshift factor has far-reaching applications in analytic approximations, gravitational self-force…

General Relativity and Quantum Cosmology · Physics 2022-08-10 Sergi Navarro Albalat , Aaron Zimmerman , Matthew Giesler , Mark A. Scheel
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