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The multipolar-post-Minkowskian approach to gravitational radiation is applied to the problem of the generation of waves by the compact binary inspiral. We investigate specifically the third post-Newtonian (3PN) approximation in the total…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Luc Blanchet , Bala R. Iyer , Benoit Joguet

The post-post-Newtonian (2PN) accurate mass quadrupole moment, for compact binaries of arbitrary mass ratio, moving in general orbits is obtained by the multi-polar post Minkowskian approach of Blanchet, Damour, and Iyer (BDI). Using this,…

广义相对论与量子宇宙学 · 物理学 2014-11-17 A. Gopakumar , Bala R. Iyer

The gravitational self-force (GSF) and post-Newtonian (PN) schemes are complementary approximation methods for modelling the dynamics of compact binary systems. Comparison of their results in an overlapping domain of validity provides a…

广义相对论与量子宇宙学 · 物理学 2015-06-10 Sarp Akcay , Alexandre Le Tiec , Leor Barack , Norichika Sago , Niels Warburton

We have introduced a new method for computing gravitational-wave emission from nonspinning binaries which systematically unifies the various integrals arising in the Fourier expansions of post-Newtonian dynamics, providing a simple,…

广义相对论与量子宇宙学 · 物理学 2025-12-16 Xiaolin Liu , Zhoujian Cao

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

New structural properties of post-Minkowskian (PM) gravity are derived, notably within its effective one body (EOB) formulation. Our results concern both the mass dependence, and the high-energy behavior, of the classical scattering angle.…

广义相对论与量子宇宙学 · 物理学 2020-07-22 Thibault Damour

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

The frequency-domain waveform emitted by a two-body scattering process is computed in the extreme-mass-ratio limit through the fifth post-Minkowskian (PM) order (i.e., $O(G^5)$) and the fractional sixth post-Newtonian (PN) order. The…

广义相对论与量子宇宙学 · 物理学 2026-03-13 Andrea Geralico

The dynamics of compact binary systems at the fourth post-Newtonian (4PN) approximation of general relativity has been recently completed in a self-consistent way. In this paper, we compute the ten Poincar\'e constants of the motion and…

广义相对论与量子宇宙学 · 物理学 2018-03-20 Laura Bernard , Luc Blanchet , Guillaume Faye , Tanguy Marchand

We derive the gravitational field and equations of motion of compact binary systems up to the 5/2 post-Newtonian approximation of general relativity (where radiation-reaction effects first appear). The approximate post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Luc Blanchet , Guillaume Faye , Bénédicte Ponsot

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

广义相对论与量子宇宙学 · 物理学 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

The general relativistic corrections in the equations of motion and associated energy of a binary system of point-like masses are derived at the third post-Newtonian (3PN) order. The derivation is based on a post-Newtonian expansion of the…

广义相对论与量子宇宙学 · 物理学 2009-12-31 Luc Blanchet , Guillaume Faye

The angular momentum flux from an inspiralling binary system of compact objects moving in quasi-elliptical orbits is computed at the third post-Newtonian (3PN) order using the multipolar post-Minkowskian wave generation formalism. The 3PN…

广义相对论与量子宇宙学 · 物理学 2010-04-30 K. G. Arun , Luc Blanchet , Bala R. Iyer , Siddhartha Sinha

We review some recent works on the post-Newtonian theory of slowly-moving (post-Newtonian) sources, and its application to the problems of dynamics and gravitational radiation from compact binary systems. Our current knowledge is 3PN on the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Luc Blanchet

We put forward a broader picture of the effective theory of a spinning particle within the EFT of spinning gravitating objects, through which we derive and establish the new precision frontier at the fifth PN (5PN) order. This frontier…

高能物理 - 理论 · 物理学 2023-04-20 Michèle Levi , Zhewei Yin

We compute the complete potential-graviton contributions to the conservative radial action and scattering angle for two non-spinning bodies in general relativity, accurate through fifth order in Newton's constant and including second-order…

高能物理 - 理论 · 物理学 2026-02-10 Zvi Bern , Enrico Herrmann , Radu Roiban , Michael S. Ruf , Alexander V. Smirnov , Sid Smith , Mao Zeng

A brief review is given of all the Hamiltonians and effective potentials calculated hitherto covering the post-Newtonian (pN) dynamics of a two body system. A method is presented to compare (conservative) reduced Hamiltonians with…

广义相对论与量子宇宙学 · 物理学 2016-06-15 Steven Hergt , Jan Steinhoff , Gerhard Schaefer

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…

广义相对论与量子宇宙学 · 物理学 2022-12-21 Quentin Henry , Sylvain Marsat , Mohammed Khalil

The gravitational waveform (GWF) generated by inspiralling compact binaries moving in quasi-circular orbits is computed at the third post-Newtonian (3PN) approximation to general relativity. Our motivation is two-fold: (i) To provide…

广义相对论与量子宇宙学 · 物理学 2012-10-22 Luc Blanchet , Guillaume Faye , Bala R. Iyer , Siddhartha Sinha

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…

高能物理 - 理论 · 物理学 2021-01-15 Michèle Levi , Stavros Mougiakakos , Mariana Vieira