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We present a prescription for computing gravitational waveforms for the inspiral, merger and ringdown of non-spinning eccentric binary black hole systems. The inspiral waveform is computed using the post-Newtonian expansion and the merger…

广义相对论与量子宇宙学 · 物理学 2018-08-15 Ian Hinder , Lawrence E. Kidder , Harald P. Pfeiffer

We obtain an efficient description for the dynamics of nonspinning compact binaries moving in inspiralling eccentric orbits to implement the phasing of gravitational waves from such binaries at the 3.5 post-Newtonian (PN) order. Our…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Christian Koenigsdoerffer , Achamveedu Gopakumar

In this paper, we compare the waveforms from the post-Newtonian (PN) approach with the numerical simulations of generic black-hole binaries which have mass ratio $q\sim0.8$, arbitrarily oriented spins with magnitudes $S_1/m_1^2\sim0.6$ and…

广义相对论与量子宇宙学 · 物理学 2009-01-27 Hiroyuki Nakano , Manuela Campanelli , Carlos O. Lousto , Yosef Zlochower

We derive alternate and new closed-form analytic solutions for the non-equatorial eccentric bound trajectories, $\{ \phi \left( r, \theta \right)$, $\ t \left( r, \theta \right),\ r \left( \theta \right) \}$, around a Kerr black hole by…

广义相对论与量子宇宙学 · 物理学 2019-02-12 Prerna Rana , A. Mangalam

It is now possible to compute linear in mass-ratio terms in the post-Newtonian (PN) expansion for compact binaries to very high orders using black hole perturbation theory applied to various invariants. For instance, a computation of the…

广义相对论与量子宇宙学 · 物理学 2015-08-12 Nathan K. Johnson-McDaniel , Abhay G. Shah , Bernard F. Whiting

We perform a systematic study of eccentric orbiting nonspinning black hole binaries. We first make a technical study of the optimal full numerical techniques to apply to these studies. We choose different gauge parameters and Courant…

广义相对论与量子宇宙学 · 物理学 2025-01-17 Giuseppe Ficarra , Carlos O. Lousto

Gravitational wave astronomy pipelines rely on template waveform models for searches and parameter estimation purposes. For coalescing binary neutron stars (BNS), such models need to accurately reproduce numerical relativity (NR) up to…

Accurate and efficient modeling of the dynamics of binary black holes (BBHs) is crucial to their detection and parameter estimation through gravitational waves, both with LIGO/Virgo and LISA. General BBH configurations will have misaligned…

广义相对论与量子宇宙学 · 物理学 2021-03-26 Sashwat Tanay , Leo C. Stein , José T. Gálvez Ghersi

This work devises a formalism to obtain the equations of motion for a black hole-fluid configuration. Our approach is based on a Post-Newtonian expansion and adapted to scenarios where obtaining the relevant dynamics requires long…

广义相对论与量子宇宙学 · 物理学 2013-08-01 Enrico Barausse , Luis Lehner

A partially first-order form of the characteristic formulation is introduced to control the accuracy in the computation of gravitational waveforms produced by highly distorted single black hole spacetimes. Our approach is to reduce the…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Roberto Gomez

We test the resummation techniques used in developing Pad\'e and Effective One Body (EOB) waveforms for gravitational wave detection. Convergence tests show that Pad\'e approximants of the gravitational wave energy flux do not accelerate…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Abdul H. Mroué , Lawrence E. Kidder , Saul A. Teukolsky

To establish a self-consistent effective one-body (EOB) theory that describes the dynamical evolution of binary systems based on the post-Minkowskian (PM) approximation, where the Hamiltonian, radiation reaction force, and waveforms are…

广义相对论与量子宇宙学 · 物理学 2025-12-19 Jiliang Jing , Weike Deng , Sheng Long

For black-hole binaries whose spins are (anti-) aligned with respect to the orbital angular momentum of the binary, we compute the frequency domain phasing coefficients including the quadratic-in-spin terms up to the third post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2016-05-04 Chandra Kant Mishra , Aditya Kela , K. G. Arun , Guillaume Faye

We present a new phenomenological gravitational waveform model for the inspiral and coalescence of non-precessing spinning black hole binaries. Our approach is based on a frequency domain matching of post-Newtonian inspiral waveforms with…

广义相对论与量子宇宙学 · 物理学 2015-03-17 L. Santamaria , F. Ohme , P. Ajith , B. Bruegmann , N. Dorband , M. Hannam , S. Husa , P. Moesta , D. Pollney , C. Reisswig , E. L. Robinson , J. Seiler , B. Krishnan

Building on a recent paper in which we computed the canonical Hamiltonian of a spinning test particle in curved spacetime, at linear order in the particle's spin, we work out an improved effective-one-body (EOB) Hamiltonian for spinning…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Enrico Barausse , Alessandra Buonanno

In the effective-one-body (EOB) approach the dynamics of two compact objects of masses m1 and m2 and spins S1 and S2 is mapped into the dynamics of one test particle of mass mu = m1 m2/(m1+m2) and spin S* moving in a deformed Kerr metric…

广义相对论与量子宇宙学 · 物理学 2011-12-01 Enrico Barausse , Alessandra Buonanno

How to calculate the gravitational waves (GWs) of Extreme-mass-ratio-inspirals (EMRIs) in a highly accurate and efficient way still keeps a challenge. In this paper, we present a so-called fully recalibrated waveforms for EMRIs with high…

广义相对论与量子宇宙学 · 物理学 2017-06-14 Ran Cheng , Wen-Biao Han

We derive the analytical expression of the coordinate time $t$ in terms of the eccentric anomaly $u$ at the second post-Newtonian order in General Relativity for a compact binary system moving on eccentric orbits. The parametrization of $t$…

广义相对论与量子宇宙学 · 物理学 2025-04-25 Vittorio De Falco , Marco Gallo

We study the accuracy of the post-Newtonian (PN) approximation and its formal region of validity, by investigating its optimal asymptotic expansion for the quasi-circular, adiabatic inspiral of a point particle into a Schwarzschild black…

广义相对论与量子宇宙学 · 物理学 2011-05-12 Nicolas Yunes , Emanuele Berti

We present the first attempt at calibrating the effective-one-body (EOB) model to accurate numerical-relativity simulations of spinning, non-precessing black-hole binaries. Aligning the EOB and numerical waveforms at low frequency over a…

广义相对论与量子宇宙学 · 物理学 2010-05-27 Yi Pan , Alessandra Buonanno , Luisa T. Buchman , Tony Chu , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel
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