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相关论文: Parametrized-4.5PN TaylorF2 approximant(s) and tai…

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We present a new approach to factorize and resum the post-Newtonian (PN) waveform for generic equatorial motion to be used within effective-one-body (EOB) based waveform models. The new multipolar waveform factorization improves previous…

广义相对论与量子宇宙学 · 物理学 2022-06-01 Andrea Placidi , Simone Albanesi , Alessandro Nagar , Marta Orselli , Sebastiano Bernuzzi , Gianluca Grignani

We derive a point-mass (nonspinning) frequency-domain TaylorF2 phasing approximant at quasi-5.5 post-Newtonian (PN) accuracy for the gravitational wave from coalescing compact binaries. The new approximant is obtained by Taylor-expanding…

广义相对论与量子宇宙学 · 物理学 2019-07-03 Francesco Messina , Reetika Dudi , Alessandro Nagar , Sebastiano Bernuzzi

In the adiabatic post-Newtonian (PN) approximation, the phase evolution of gravitational waves (GWs) from inspiralling compact binaries in quasicircular orbits is computed by equating the change in binding energy with the GW flux. This…

广义相对论与量子宇宙学 · 物理学 2016-01-13 Shasvath J. Kapadia , Nathan K. Johnson-McDaniel , Parameswaran Ajith

We introduce a new, resummed, analytical form of the post-Newtonian (PN), factorized, multipolar amplitude corrections $f_{\ell m}$ of the effective-one-body (EOB) gravitational waveform of spinning, nonprecessing, circularized, coalescing…

广义相对论与量子宇宙学 · 物理学 2016-11-15 Alessandro Nagar , Abhay G. Shah

The imprint of non-linearities in the propagation of gravitational waves --- the tail effect --- is responsible for new spin contributions to the energy flux and orbital phasing of spinning black hole binaries. The spin-orbit (linear in…

广义相对论与量子宇宙学 · 物理学 2013-12-24 Sylvain Marsat , Alejandro Bohe , Luc Blanchet , Alessandra Buonanno

The factorization and resummation approach of Nagar and Shah~[Phys.~Rev.~D~94 (2016), 104017], designed to improve the strong-field behavior of the post-Newtonian (PN) residual waveform amplitudes $f_{\ell m}$'s entering the…

广义相对论与量子宇宙学 · 物理学 2018-04-18 Francesco Messina , Alberto Maldarella , Alessandro Nagar

We provide the post-Newtonian (PN) waveform for binary systems in motion along generic planar orbits at 2.5PN accuracy, in terms of the dynamical variables of the effective one-body (EOB) formalism. In addition to the calculation of the…

广义相对论与量子宇宙学 · 物理学 2023-08-09 Andrea Placidi , Gianluca Grignani , Troels Harmark , Marta Orselli , Sara Gliorio , Alessandro Nagar

We combine different techniques to extract information about the logarithmic contributions to the two-body conservative dynamics within the post-Newtonian (PN) approximation of General Relativity. The logarithms come from the conservative…

广义相对论与量子宇宙学 · 物理学 2020-07-09 Luc Blanchet , Stefano Foffa , François Larrouturou , Riccardo Sturani

Within an effective field theory method to general relativity, we calculate the fifth-order post--Newtonian (5 PN) Hamiltonian dynamics also for the tail terms, extending earlier work on the potential contributions, working in harmonic…

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

(Abridged) High-order terms in the post-Newtonian (PN) expansions of various quantities for compact binaries exhibit a combinatorial increase in complexity, including ever-increasing numbers of transcendentals. Here we consider the…

广义相对论与量子宇宙学 · 物理学 2014-07-30 Nathan K. Johnson-McDaniel

We present a first complete implementation of an effective-one-body (EOB) model for extreme-mass-ratio inspirals (EMRIs) that incorporates aligned spins (on both the primary and the secondary) as well as orbital eccentricity. The model…

广义相对论与量子宇宙学 · 物理学 2024-02-20 Angelica Albertini , Rossella Gamba , Alessandro Nagar , Sebastiano Bernuzzi

We study the effect of black hole spin on the accuracy of the post-Newtonian approximation. We focus on the gravitational energy flux for the quasicircular, equatorial, extreme mass-ratio inspiral of a compact object into a Kerr black hole…

广义相对论与量子宇宙学 · 物理学 2011-08-08 Zhongyang Zhang , Nicolas Yunes , Emanuele Berti

We improve and generalize a resummation method of post-Newtonian multipolar waveforms from circular compact binaries introduced in Refs. \cite{Damour:2007xr,Damour:2007yf}. One of the characteristic features of this resummation method is to…

广义相对论与量子宇宙学 · 物理学 2010-04-21 Thibault Damour , Bala R. Iyer , Alessandro Nagar

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

We generalize the factorized resummation of multipolar waveforms introduced by Damour, Iyer and Nagar to spinning black holes. For a nonspinning test-particle spiraling a Kerr black hole in the equatorial plane, we find that factorized…

广义相对论与量子宇宙学 · 物理学 2013-05-10 Yi Pan , Alessandra Buonanno , Ryuichi Fujita , Etienne Racine , Hideyuki Tagoshi

Recent breakthroughs in numerical relativity enable one to examine the validity of the post-Newtonian expansion in the late stages of inspiral. For the comparison between post-Newtonian (PN) expansion and numerical simulations, the…

广义相对论与量子宇宙学 · 物理学 2014-11-21 Ryuichi Fujita , Bala R. Iyer

The phasing for compact binary systems on circular orbits was obtained in arXiv:2304.11185 at fourth-and-a-half post-Newtonian (4.5PN) order thanks to two main ingredients: the 4PN conservative energy (associated to a nonradiative…

广义相对论与量子宇宙学 · 物理学 2025-08-01 David Trestini

Effective-one-body (EOB) models are based on analytical building blocks that, mathematically, are truncated Taylor series with logarithms. These functions are usually resummed using Pad\'e approximants obtained first assuming that the…

Compact binary sources that emit gravitational waves (GW) are expected to be both spinning and on eccentric orbits. No closed-form expression for the phasing of GWs are available to date that contain information from both spin and…

广义相对论与量子宇宙学 · 物理学 2025-07-22 Omkar Sridhar , Soham Bhattacharyya , Kaushik Paul , Chandra Kant Mishra

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
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