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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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Hannam , Sascha Husa , Jose A. Gonzalez , Ulrich Sperhake , Bernd Bruegmann

We compare waveforms and orbital dynamics from the first long-term, fully non-linear, numerical simulations of a generic black-hole binary configuration with post-Newtonian predictions. The binary has mass ratio q~0.8 with arbitrarily…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Manuela Campanelli , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

We present the first comparison between numerical relativity (NR) simulations of an eccentric binary black hole system with corresponding post-Newtonian (PN) results. We evolve an equal-mass, non-spinning configuration with an initial…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Ian Hinder , Frank Herrmann , Pablo Laguna , Deirdre Shoemaker

In the post-Newtonian (PN) expansion, we extend the determination of quasicircular orbital parameters to be used by subsequent full numerical simulations to the 3.5PN order, and find that this leads to lower eccentricities, $e$, than with…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Alessandro Ciarfella , James Healy , Carlos O. Lousto , Hiroyuki Nakano

Spherical harmonic modes of gravitational waveforms for inspiraling compact binaries in eccentric orbits from post-Newtonian (PN) theory accurate to third post-Newtonian order, and those extracted from numerical relativity (NR) simulations…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Abhishek Chattaraj , Tamal RoyChowdhury , Divyajyoti , Chandra Kant Mishra , Anshu Gupta

Several scenarios have been proposed in which the orbits of binary black holes enter the band of a gravitational wave detector with significant eccentricity. To avoid missing these signals or biasing parameter estimation it is important…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Neil J. Cornish , Joey Shapiro Key

Numerical simulations of 15 orbits of an equal-mass binary black hole system are presented. Gravitational waveforms from these simulations, covering more than 30 cycles and ending about 1.5 cycles before merger, are compared with those from…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Michael Boyle , Duncan A. Brown , Lawrence E. Kidder , Abdul H. Mroue , Harald P. Pfeiffer , Mark A. Scheel , Gregory B. Cook , Saul A. Teukolsky

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…

General Relativity and Quantum Cosmology · Physics 2009-01-27 Hiroyuki Nakano , Manuela Campanelli , Carlos O. Lousto , Yosef Zlochower

We use post-Newtonian (PN) approximations to determine the initial orbital and spin parameters of black hole binaries that lead to low-eccentricity inspirals when evolved with numerical relativity techniques. In particular, we seek initial…

General Relativity and Quantum Cosmology · Physics 2020-11-10 James Healy , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

We compare results from numerical simulations of spinning binaries in the "orbital hangup" case, where the binary completes at least nine orbits before merger, with post-Newtonian results using the approximants TaylorT1, T4 and Et. We find…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Hannam , Sascha Husa , Bernd Brügmann , Achamveedu Gopakumar

While current gravitational wave observations with ground based detectors have been consistent with compact binaries in quasi-circular orbits, eccentric binaries may be detectable by ground-based and space-based instruments in the near…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Blake Moore , Nicolás Yunes

Numerical relativity (NR) simulations of binary black holes provide precise waveforms, but are typically too computationally expensive to produce waveforms with enough orbits to cover the whole frequency band of gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Dongze Sun , Michael Boyle , Keefe Mitman , Mark A. Scheel , Leo C. Stein , Saul A. Teukolsky , Vijay Varma

We analyze a new numerical relativity dataset of spinning but nonprecessing binary black holes on eccentric orbits, with eccentricities from approximately $0.1$ to $0.5$, with dimensionless spins up to $0.75$ included at mass ratios…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Antoni Ramos-Buades , Sascha Husa , Geraint Pratten , Héctor Estellés , Cecilio García-Quirós , Maite Mateu-Lucena , Marta Colleoni , Rafel Jaume

We make a comparison between results from numerically generated, quasi-equilibrium configurations of compact binary systems of black holes in close orbits, and results from the post-Newtonian approximation. The post-Newtonian results are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Thierry Mora , Clifford M. Will

With recent advances in post-Newtonian (PN) theory and numerical relativity (NR) it has become possible to construct inspiral-merger-ringdown waveforms by combining both descriptions into one hybrid signal. While addressing the reliability…

General Relativity and Quantum Cosmology · Physics 2011-09-30 Frank Ohme , Mark Hannam , Sascha Husa

This article studies sufficient accuracy criteria of hybrid post-Newtonian (PN) and numerical relativity (NR) waveforms for parameter estimation of strong binary black-hole sources in second- generation ground-based gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Ilana MacDonald , Abdul H. Mroue , Harald P. Pfeiffer , Michael Boyle , Lawrence E. Kidder , Mark A. Scheel , Bela Szilagyi , Nicholas W. Taylor

Post-Newtonian (PN) theory provides the analytic foundation for modeling the early inspiral of binary black holes. However, as an asymptotic series, successive PN orders do not necessarily improve agreement with the full nonlinear dynamics.…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Dongze Sun , Béatrice Bonga , Leo C. Stein , Guido Da Re

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…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Tousif Islam , Tejaswi Venumadhav

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…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

We used two numerical models, namely the \texttt{CBwaves} and \texttt{SEOBNRE} algorithms, based on the post-Newtonian and effective-one-body approaches for binary black holes evolving on eccentric orbits. We performed 20.000 new…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Balázs Kacskovics , Dániel Barta
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