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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 derive the equations of motion for binary systems of compact bodies in the post-Newtonian (PN) approximation to general relativity. Results are given through 2PN order (order (v/c)^4 beyond Newtonian theory), and for gravitational…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Michael E. Pati , Clifford M. Will

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

Based upon the formalism recently developed by one of us (MS), we analytically perform the post-Newtonian expansion of gravitational waves from a test particle in circular orbit of radius $r_0$ around a Schwarzschild black hole of mass $M$.…

广义相对论与量子宇宙学 · 物理学 2009-10-09 Hideyuki Tagoshi , Misao Sasaki

We analyze numerical-relativity (NR) waveforms that cover nine orbits (18 gravitational-wave cycles) before merger of an equal-mass system with low eccentricity, with numerical uncertainties of 0.25 radians in the phase and less than 2% in…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Mark Hannam , Sascha Husa , Jose A. Gonzalez , Ulrich Sperhake , Bernd Bruegmann

The inspiral and merger of black-hole binary systems are a promising source of gravitational waves. The most effective method to look for a signal with a well understood waveform, such as the binary black hole signal, is matched filtering…

广义相对论与量子宇宙学 · 物理学 2014-05-15 Larne Pekowsky , James Healy , Deirdre Shoemaker , Pablo Laguna

Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to fifth and partial sixth order using a…

广义相对论与量子宇宙学 · 物理学 2022-08-10 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

This paper is to introduce a new software called CBwaves which provides a fast and accurate computational tool to determine the gravitational waveforms yielded by generic spinning binaries of neutron stars and/or black holes on eccentric…

广义相对论与量子宇宙学 · 物理学 2013-02-13 Péter Csizmadia , Gergely Debreczeni , István Rácz , Mátyás Vasúth

We study the phenomenological consequences of amplitude-corrected post-Newtonian (PN) gravitational waveforms, as opposed to the more commonly used restricted PN waveforms, for the quasi-circular, adiabatic inspiral of compact binary…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Chris Van Den Broeck , Anand S. Sengupta

In this study, gravitational waveforms emitted by inspiralling compact binary systems on quasicircular orbits in hybrid metric-Palatini gravity are computed in the lowest post-Newtonian approximation. By applying the stationary phase…

广义相对论与量子宇宙学 · 物理学 2025-07-28 P. I. Dyadina

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

One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present…

广义相对论与量子宇宙学 · 物理学 2010-10-27 Mátyás Vasúth , János Majár

We compute the spin-tidal couplings that affect the dynamics of two orbiting bodies at the leading order in the post-Newtonian (PN) framework and to linear order in the spin. These corrections belong to two classes: (i) terms arising from…

广义相对论与量子宇宙学 · 物理学 2018-12-05 Tiziano Abdelsalhin , Leonardo Gualtieri , Paolo Pani

We present a novel analytic extraction of high-order post-Newtonian (pN) parameters that govern quasi-circular binary systems. Coefficients in the pN expansion of the energy of a binary system can be found from corresponding coefficients in…

广义相对论与量子宇宙学 · 物理学 2014-03-26 Abhay G Shah , John L Friedman , Bernard F Whiting

Characterizing eccentricity in gravitational waveforms in a consistent manner is crucial to facilitate parameter estimation, astrophysical population studies, as well as searches for these rare systems. We present a framework to…

广义相对论与量子宇宙学 · 物理学 2025-02-06 Tousif Islam , Tejaswi Venumadhav

Gravitational waves emitted by black hole binary inspiral and mergers enable unprecedented strong-field tests of gravity, requiring accurate theoretical modelling of the expected signals in extensions of General Relativity. In this paper we…

广义相对论与量子宇宙学 · 物理学 2022-02-02 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

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

The orbit-averaged fluxes of energy and angular momentum generated by a compact binary system of nonspinning particles are obtained in a popular class of massless scalar-tensor theories with first-and-a-half post-Newtonian (1.5PN) accuracy,…

广义相对论与量子宇宙学 · 物理学 2025-07-31 David Trestini

We use a post-Newtonian diagnostic tool to examine numerically generated quasiequilibrium initial data sets for non-spinning double neutron star and neutron star-black hole binary systems. The PN equations include the effects of tidal…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Emanuele Berti , Sai Iyer , Clifford M. Will

The mass-type quadrupole moment of inspiralling compact binaries (without spins) is computed at the fourth post-Newtonian (4PN) approximation of general relativity. The multipole moments are defined by matching between the field in the…

广义相对论与量子宇宙学 · 物理学 2021-05-26 Tanguy Marchand , Quentin Henry , François Larrouturou , Sylvain Marsat , Guillaume Faye , Luc Blanchet
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