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This paper is motivated by the need to improve the post-Newtonian (PN) amplitude accuracy of waveforms for gravitational waves generated by inspiralling compact binaries, both for use in data analysis and in the comparison between…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Guillaume Faye , Luc Blanchet , Bala R. Iyer

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

Up to the third post-Newtonian (3PN) order, we compute (i) the current-type quadrupole moment of (non-spinning) compact binary systems, as well as (ii) the corresponding gravitational-wave mode $(2,1)$ (constituting a 3.5PN correction in…

广义相对论与量子宇宙学 · 物理学 2021-09-22 Quentin Henry , Guillaume Faye , Luc Blanchet

The emission of gravitational waves from a system of massive objects interacting on hyperbolic orbits is studied in the quadrupole approximation. Analytic expressions are derived for the gravitational radiation luminosity, the total energy…

广义相对论与量子宇宙学 · 物理学 2008-11-26 S. Capozziello , M. De Laurentis , F. De Paolis , G. Ingrosso , A. Nucita

We compute the next-to-next-to-leading order spin-orbit contributions in the total energy flux emitted in gravitational waves by compact binary systems. Such contributions correspond to the post-Newtonian order 3.5PN for maximally spinning…

广义相对论与量子宇宙学 · 物理学 2013-12-20 Alejandro Bohe , Sylvain Marsat , Luc Blanchet

Using the Effective Field Theory approach together with the Boundary-to-Bound map, we compute the next-to-leading order (NLO) Post-Minkowskian (PM) tidal effects in the conservative dynamics of compact binary systems. We derive the mass and…

高能物理 - 理论 · 物理学 2021-01-04 Gregor Kälin , Zhengwen Liu , Rafael A. Porto

Compact binaries with unequal masses and whose orbits are not aligned with the observer's line of sight are excellent probes of gravitational radiation beyond the quadrupole approximation. Among the compact binaries observed so far, strong…

广义相对论与量子宇宙学 · 物理学 2024-10-10 Parthapratim Mahapatra

In the quadrupole approximation of General Relativity in the weak-field limit, a time-varying quadrupole moment generates gravitational radiation. Binary orbits are one of the main mechanisms for producing gravitational waves and are the…

广义相对论与量子宇宙学 · 物理学 2019-09-11 A. Miguel Holgado , Paul M. Ricker

The hyperbolic encounters of two massive objects are characterized by the emission of a gravitational wave burst, with most of the energy released during the closest approach (near the periastron). The detection of such events, different…

广义相对论与量子宇宙学 · 物理学 2024-03-04 Marienza Caldarola , Sachiko Kuroyanagi , Savvas Nesseris , Juan Garcia-Bellido

The rate of gravitational-wave energy loss from inspiralling binary systems of compact objects of arbitrary mass is derived through second post-Newtonian (2PN) order $O[(Gm/rc^2)^2]$ beyond the quadrupole approximation. The result has been…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Luc Blanchet , Thibault Damour , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

Self-gravitating bodies can have an arbitrarily complex shape, which implies a much richer multipolar structure than that of a black hole in General Relativity. With this motivation, we study the corrections to the dynamics of a binary…

广义相对论与量子宇宙学 · 物理学 2022-06-28 Nicholas Loutrel , Richard Brito , Andrea Maselli , Paolo Pani

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

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

We investigate the dynamics of spinning binaries of compact objects at the next-to-leading order in the quadratic-in-spin effects, which corresponds to the third post-Newtonian order (3PN). Using a Dixon-type multipolar formalism for…

广义相对论与量子宇宙学 · 物理学 2015-09-30 Alejandro Bohé , Guillaume Faye , Sylvain Marsat , Edward K Porter

The emission of gravitational waves from a system of massive objects interacting on elliptical, hyperbolic and parabolic orbits is studied in the quadrupole approximation. Analytical expressions are then derived for the gravitational wave…

天体物理学 · 物理学 2010-04-21 Salvatore Capozziello , Mariafelicia De Laurentis

The precise knowledge of the gravitational phase evolution of compact binaries is crucial to the data analysis for gravitational waves. Until recently, it was known analytically (for non-spinning systems) up to the 3.5 post-Newtonian (PN)…

广义相对论与量子宇宙学 · 物理学 2024-01-23 L. Blanchet , G. Faye , Q. Henry , F. Larrouturou , D. Trestini

We present the multipole component form of the gravitational wave tidal phase for compact binary coalescences (MultipoleTidal), which consists of the mass quadrupole, the current quadrupole, and the mass octupole moments. We demonstrate the…

广义相对论与量子宇宙学 · 物理学 2025-04-18 Tatsuya Narikawa

This paper derives the expressions of the multipole moments of an isolated gravitating source with an accuracy corresponding to the second post-Newtonian (2-PN) approximation of general relativity. The moments are obtained by a procedure of…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Luc Blanchet

This paper investigates the non-linear self-interaction of quadrupole gravitational waves generated by an isolated system. The vacuum Einstein field equations are integrated in the region exterior to the system by means of a…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Luc Blanchet

We investigate cubic-in-spin effects for inspiralling compact objects binaries, both in the dynamics and the energy flux emitted in gravitational waves, at the leading post-Newtonian order. We use a Lagrangian formalism to implement…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Sylvain Marsat
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