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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 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 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

(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 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

We use the frequency and time domain Teukolsky formalism to calculate gravitational-wave fluxes from a spinning body on a bound eccentric equatorial orbit around a Kerr black hole. The spinning body is represented as a point particle…

广义相对论与量子宇宙学 · 物理学 2021-06-02 Viktor Skoupý , Georgios Lukes-Gerakopoulos

We introduce a new factorized and resummed waveform for circularized, nonspinning, compact binaries that leverages on the solution of the Teukolsky equation once mapped into a confluent Heun equation. The structure of the solution allows…

广义相对论与量子宇宙学 · 物理学 2026-02-10 Andrea Cipriani , Alessandro Nagar , Francesco Fucito , José Francisco Morales

We propose, within the effective one body (EOB) approach, a new, resummed, analytical representation of the gravitational wave energy flux absorbed by a system of two circularized (nonspinning) black holes. This expression is such to be…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Alessandro Nagar , Sarp Akcay

We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Yasushi Mino , Misao Sasaki , Masaru Shibata , Hideyuki Tagoshi , Takahiro Tanaka

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

This work provides gravitational wave energy and angular momentum asymptotic fluxes from a spinning body moving on generic orbits in a Kerr spacetime up to linear in spin approximation. To achieve this, we have developed a new frequency…

广义相对论与量子宇宙学 · 物理学 2023-03-30 Viktor Skoupý , Georgios Lukes-Gerakopoulos , Lisa V. Drummond , Scott A. Hughes

By post-Newtonian (PN) expanding the well-known, factorized and resummed, effective-one-body energy flux for circularized binaries we show that: (i) because of the presence of the resummed tail factor, the 4.5PN-accurate…

广义相对论与量子宇宙学 · 物理学 2018-06-13 Francesco Messina , Alessandro Nagar

In this work, we test an effective-one-body radiation-reaction force for eccentric planar orbits of a test mass in a Kerr background, which contains third-order post-Newtonian (PN) non-spinning and second-order PN spin contributions. We…

广义相对论与量子宇宙学 · 物理学 2025-04-03 Guglielmo Faggioli , Maarten van de Meent , Alessandra Buonanno , Aldo Gamboa , Mohammed Khalil , Gaurav Khanna

We present a new computation of the asymptotic gravitational wave energy fluxes emitted by a {\it spinning} particle in circular equatorial orbits about a Kerr black hole. The particle dynamics is computed in the pole-dipole approximation,…

广义相对论与量子宇宙学 · 物理学 2019-08-08 Enno Harms , Georgios Lukes-Gerakopoulos , Sebastiano Bernuzzi , Alessandro Nagar

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 consider a spinning test-body in circular motion around a nonrotating black hole and analyze different prescriptions for the body's dynamics. We compare, for the first time, the Mathisson-Papapetrou formalism under the Tulczyjew…

广义相对论与量子宇宙学 · 物理学 2019-08-08 Enno Harms , Georgios Lukes-Gerakopoulos , Sebastiano Bernuzzi , Alessandro Nagar

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…

We compute the energy flux of the gravitational waves radiated by a particle of mass $\m$ in circular orbits around a rotating black hole of mass $M$ up to the 11th post-Newtonian order (11PN), i.e. $v^{22}$ beyond the leading Newtonian…

广义相对论与量子宇宙学 · 物理学 2015-03-27 Ryuichi Fujita

We provide a systematic analysis of the multipolar gravitational waveform, energy and angular momentum fluxes emitted by a nonspinning test particle orbiting a Kerr black hole along equatorial, eccentric orbits. These quantities are…

广义相对论与量子宇宙学 · 物理学 2022-03-31 Simone Albanesi , Alessandro Nagar , Sebastiano Bernuzzi
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