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相关论文: Third-and-a-half order post-Newtonian equations of…

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We study equilibrium sequences of close binary systems composed of identical polytropic stars in Newtonian gravity. The solving method is a multi-domain spectral method which we have recently developed. An improvement is introduced here for…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Keisuke Taniguchi , Eric Gourgoulhon , Silvano Bonazzola

We revisit the accuracy of the post-Newtonian (PN) approximation and its region of validity for quasi-circular orbits of a point particle in the Kerr spacetime, by using an analytically known highest post-Newtonian order gravitational…

广义相对论与量子宇宙学 · 物理学 2016-05-27 Norichika Sago , Ryuichi Fujita , Hiroyuki Nakano

We analytically study gravitational radiation from corotating binary neutron stars composed of incompressible, homogeneous fluid in circular orbits. The energy and the angular momentum loss rates are derived up to the first post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Keisuke Taniguchi , Masaru Shibata

This paper derives the total power or energy loss rate generated in the form of gravitational waves by an inspiralling compact binary system to the five halves post-Newtonian (2.5PN) approximation of general relativity. Extending a recently…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Luc Blanchet

We derive a fully analytic Keplerian-type parametrization solution to conservative motion of spinning binary in ADM gauge. This solution is able to describe three dimensional motion of binaries of arbitrary eccentricity, mass ratio and…

广义相对论与量子宇宙学 · 物理学 2019-09-11 Gihyuk Cho , Hyung Mok Lee

Motivated by the search for gravitational waves emitted by binary black holes, we investigate the gravitational radiation field of point particles with spins within the framework of the multipolar-post-Newtonian wave generation formalism.…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Luc Blanchet , Alessandra Buonanno , Guillaume Faye

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 study the gravitational dynamics in the early inspiral phase of coalescing compact binaries using Non-Relativistic General Relativity (NRGR) - an effective field theory formalism based on the post-newtonian expansion, but which provides…

广义相对论与量子宇宙学 · 物理学 2016-11-15 Delphine L. Perrodin

We derive the first law of binary point-particle mechanics for generic bound (i.e. eccentric) orbits at the fourth post-Newtonian (4PN) order, accounting for the non-locality in time of the dynamics due to the occurence of a…

广义相对论与量子宇宙学 · 物理学 2017-07-25 Luc Blanchet , Alexandre Le Tiec

Dimensional regularization is used to derive the equations of motion of two point masses in harmonic coordinates. At the third post-Newtonian (3PN) approximation, it is found that the dimensionally regularized equations of motion contain a…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Luc Blanchet , Thibault Damour , Gilles Esposito-Farese

We obtain for the first time all quadratic-in-spin interactions in spinning binaries at the third subleading order in post-Newtonian (PN) gravity, and provide their observable binding energies and their gauge-invariant relations to the…

高能物理 - 理论 · 物理学 2022-09-02 Jung-Wook Kim , Michèle Levi , Zhewei Yin

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

Part A of this article is devoted to the general investigation of the gravitational-wave emission by post-Newtonian sources. We show how the radiation field far from the source, as well as its near-zone inner gravitational field, can (in…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Luc Blanchet

We study the gravitational wave emission of three compact objects using post-Newtonian (PN) equations of motion derived from the Arnowitt-Deser-Misner Hamiltonian formulation, where we include (for the first time in this context) terms up…

广义相对论与量子宇宙学 · 物理学 2011-08-24 Pablo Galaviz , Bernd Bruegmann

An analytical approximation to periodic orbits in the circular restricted three-body problem is provided. The formulation given in this work is based in calculations known from classical mechanics, but with the addition of the necessary…

天体物理学 · 物理学 2009-11-13 Erick Nagel , Barbara Pichardo

This work is based on the letter Phys. Lett. B, 865, 139484 (2025), where we developed the analytical expression of the coordinate time in terms of the eccentric anomaly at the second post-Newtonian order in General Relativity for a compact…

广义相对论与量子宇宙学 · 物理学 2026-01-14 Vittorio De Falco , Marco Gallo

Many binary systems of interest for gravitational-wave astronomy are orbited by a third distant body, which can considerably alter their relativistic dynamics. Precision computations are needed to understand the interplay between…

广义相对论与量子宇宙学 · 物理学 2023-02-22 Adrien Kuntz , Francesco Serra , Enrico Trincherini

The Einstein-Aether theory is an alternative theory of gravity in which the spacetime metric is supplemented by a long-range timelike vector field (the "aether" field). Here, for the first time, we apply the full formalism of…

广义相对论与量子宇宙学 · 物理学 2023-12-13 Fatemeh Taherasghari , Clifford M. Will

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…

广义相对论与量子宇宙学 · 物理学 2015-03-19 S. Foffa , R. Sturani

The post-Newtonian and post-Minkowskian solutions for the motion of binary mass systems in gravity can be derived in terms of momentum expansions within effective field theory approaches. In the post-Minkowskian approach the expansion is…

广义相对论与量子宇宙学 · 物理学 2019-11-12 J. Blümlein , A. Maier , P. Marquard , G. Schäfer , C. Schneider