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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…

广义相对论与量子宇宙学 · 物理学 2019-11-13 Donato Bini , 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…

广义相对论与量子宇宙学 · 物理学 2021-05-06 Chris Kavanagh , Adrian C. Ottewill , Barry Wardell

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…

广义相对论与量子宇宙学 · 物理学 2016-03-23 Donato Bini , Thibault Damour , Andrea Geralico

We raise the analytical knowledge of the eccentricity-expansion of the Detweiler-Barack-Sago redshift invariant in a Schwarzschild spacetime up to the 9.5th post-Newtonian order (included) for the $e^2$ and $e^4$ contributions, and up to…

广义相对论与量子宇宙学 · 物理学 2016-05-18 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…

广义相对论与量子宇宙学 · 物理学 2016-08-24 Maarten van de Meent

We analytically compute, through the eight-and-a-half post-Newtonian order and the fourth-order in spin, the gravitational self-force correction to Detweiler's gauge invariant redshift function for a small mass in circular orbit around a…

广义相对论与量子宇宙学 · 物理学 2016-05-09 Donato Bini , Thibault Damour , Andrea Geralico

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…

广义相对论与量子宇宙学 · 物理学 2020-08-05 Donato Bini , Andrea Geralico , Jan Steinhoff

We derive new terms in the post-Newtonian (PN) expansion of the generalized redshift invariant $\langle u^t \rangle_\tau$ for a small body in eccentric, equatorial orbit about a massive Kerr black hole. The series is computed analytically…

广义相对论与量子宇宙学 · 物理学 2023-11-09 Christopher Munna

We analytically compute the gravitational self-force correction to the gyroscope precession along slightly eccentric equatorial orbits in the Kerr spacetime, generalizing previous results for the Schwarzschild spacetime. Our results are…

广义相对论与量子宇宙学 · 物理学 2019-11-13 Donato Bini , Andrea Geralico

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…

广义相对论与量子宇宙学 · 物理学 2018-05-30 Donato Bini , Thibault Damour , Andrea Geralico

A compact object moving on a quasicircular orbit about a Schwarzschild black hole gradually spirals inward due to the dissipative action of its gravitational self-force. But in addition to driving the inspiral, the self-force has a…

广义相对论与量子宇宙学 · 物理学 2014-10-24 Adam Pound

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…

广义相对论与量子宇宙学 · 物理学 2017-03-31 Sarp Akcay , David Dempsey , Sam Dolan

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…

广义相对论与量子宇宙学 · 物理学 2022-05-04 Josh Mathews , Adam Pound , Barry Wardell

Recent numerical and analytic computations based on the self-force (SF) formalism in general relativity showed that half-integral post-Newtonian (PN) terms, i.e. terms involving odd powers of 1/c, arise in the redshift factor of small…

广义相对论与量子宇宙学 · 物理学 2015-07-08 Luc Blanchet , Guillaume Faye , Bernard F. Whiting

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…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Sylvain Marsat , Alejandro Bohe , Guillaume Faye , Luc Blanchet

We present the first analytical computation of the (conservative) gravitational self-force correction to the periastron advance around a spinning black hole. Our result is accurate to the second order in the rotational parameter and through…

广义相对论与量子宇宙学 · 物理学 2019-12-25 Donato Bini , Andrea Geralico

We present analytic computations of gauge invariant quantities for a point mass in a circular orbit around a Schwarzschild black hole, giving results up to 15.5 post-Newtonian order in this paper and up to 21.5 post-Newtonian order in an…

广义相对论与量子宇宙学 · 物理学 2021-05-06 Chris Kavanagh , Adrian C. Ottewill , Barry Wardell

We investigate the relativistic scattering of spinning black holes using modern amplitude methods within a heavy-mass effective field theory formalism at third post-Minkowskian order. Using a systematic self-force expansion up to first…

高能物理 - 理论 · 物理学 2026-03-05 N. Emil J. Bjerrum-Bohr , Gang Chen , Konstantinos Papadimos , Yuexiang Zhang

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…

广义相对论与量子宇宙学 · 物理学 2018-05-23 Donato Bini , Thibault Damour , Andrea Geralico , Chris Kavanagh

We present a method for solving the first-order field equations in a post-Newtonian (PN) expansion. Our calculations generalize work of Bini and Damour and subsequently Kavanagh et al., to consider eccentric orbits on a Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2016-02-10 Seth Hopper , Chris Kavanagh , Adrian C. Ottewill
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