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相关论文: Analytic determination of high-order post-Newtonia…

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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…

广义相对论与量子宇宙学 · 物理学 2014-07-23 Donato Bini , Thibault Damour

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

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

The problem of a compact binary system whose components move on circular orbits is addressed using two different approximation techniques in general relativity. The post-Newtonian (PN) approximation involves an expansion in powers of…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

We generalize to Kerr spacetime previous gravitational self-force results on gyroscope precession along circular orbits in the Schwarzschild spacetime. In particular we present high order post- Newtonian expansions for the gauge invariant…

广义相对论与量子宇宙学 · 物理学 2018-12-05 Donato Bini , Thibault Damour , Andrea Geralico , Chris Kavanagh , Maarten van de Meent

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…

广义相对论与量子宇宙学 · 物理学 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

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

We {\it analytically} compute, to the eight-and-a-half post-Newtonian order, and to linear order in the mass ratio, the radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies,…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Donato Bini , Thibault Damour

Continuing our analytic computation of the first-order self-force contribution to Detweiler's redshift variable we provide the exact expressions of the ninth and ninth-and-a-half post-Newtonian terms.

广义相对论与量子宇宙学 · 物理学 2015-04-01 Donato Bini , Thibault Damour

The post-Newtonian approximation is still the most widely used approach to obtaining explicit solutions in general relativity, especially for the relativistic two-body problem with arbitrary mass ratio. Within many of its applications, it…

广义相对论与量子宇宙学 · 物理学 2014-09-09 Luc Blanchet , Guillaume Faye , Bernard F. Whiting

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…

广义相对论与量子宇宙学 · 物理学 2021-12-15 Mohammed Khalil

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

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…

广义相对论与量子宇宙学 · 物理学 2016-06-29 Donato Bini , Thibault Damour , Andrea Geralico

We extend the analytical determination of the main radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies beyond the 4th post-Newtonian approximation recently obtained by us. This…

广义相对论与量子宇宙学 · 物理学 2015-06-18 Donato Bini , Thibault Damour

We consider an application of the Multipolar Post Minkowskian formalism to the case of a two-body system in radial fall. We compute, within the post-Newtonian approximation, the associated gravitational waveform reaching the 2.5…

广义相对论与量子宇宙学 · 物理学 2026-04-03 Donato Bini , Giorgio Di Russo

We calculate the gravitational waveform for spinning, precessing compact binary inspirals through second post-Newtonian order in the amplitude. When spins are collinear with the orbital angular momentum and the orbits are quasi-circular, we…

广义相对论与量子宇宙学 · 物理学 2013-03-19 Alessandra Buonanno , Guillaume Faye , Tanja Hinderer

We derive all second post-Newtonian (2PN), non-precessional effects of spin- orbit coupling on the gravitational wave forms emitted by an inspiraling binary composed of spinning, compact bodies in a quasicircular orbit. Previous post-…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Benjamin J. Owen , Hideyuki Tagoshi , Akira Ohashi

We continue a previous work on the comparison between the post-Newtonian (PN) approximation and the gravitational self-force (SF) analysis of circular orbits in a Schwarzschild background. We show that the numerical SF data contain physical…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

Synergies between self-force theory and other approaches to the gravitational two-body problem have traditionally relied on calculations of gauge-invariant observables as functions of orbital frequencies. However, in self-force theory one…

广义相对论与量子宇宙学 · 物理学 2026-02-26 David Trestini , Zachary Nasipak , Adam Pound

Recent years have seen rapid progress in calculations of gravitational waveforms from asymmetric compact binaries containing spinning secondaries. Here we outline a complete waveform-generation scheme, through first post-adiabatic order…

广义相对论与量子宇宙学 · 物理学 2025-12-01 Josh Mathews , Adam Pound
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