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Orbital eccentricity in gravitational-wave signals from merging compact object binaries is a powerful indicator of their formation channel. Several binary black hole mergers and a neutron star--black hole merger have been reported to…

High Energy Astrophysical Phenomena · Physics 2026-05-19 Teagan A. Clarke , Isobel M. Romero-Shaw , Charlie Hoy , Jakob Stegmann , Paul D. Lasky , Eric Thrane

The relevance of orbital eccentricity in the detection of gravitational radiation from (steady state) binary stars is emphasized. Computationnally effective fast and accurate)tools for constructing gravitational wave templates from binary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Pierro , I. M. Pinto , A. D. Spallicci , E. Laserra , F. Recano

The events detected by the LIGO Virgo KAGRA collaboration over a period of 10 years have yielded a treasure trove of signals from compact binary coalescences. None of these events have shown a confident signature of eccentricity. With…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Johann Fernandes , Praveer Tiwari , Archana Pai

Binary black holes are thought to form primarily via two channels: isolated evolution and dynamical formation. The component masses, spins, and eccentricity of a binary black hole system provide clues to its formation history. We focus on…

High Energy Astrophysical Phenomena · Physics 2020-01-08 Isobel M. Romero-Shaw , Paul D. Lasky , Eric Thrane

We show that the gravitational waveform emitted by a binary on an eccentric orbit can be naturally decomposed into a series of harmonics. The frequencies of these harmonics depend upon the radial frequency, $f_{\mathrm{r}}$, determined by…

General Relativity and Quantum Cosmology · Physics 2024-11-08 Ben G. Patterson , Sharon Mary Tomson , Stephen Fairhurst

We perform a statistical analysis of the binary black hole problem in the post-Newtonian approximation by systematically sampling and evolving the parameter space of initial configurations for quasi-circular inspirals. Through a principal…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Chad R. Galley , Frank Herrmann , John Silberholz , Manuel Tiglio , Gustavo Guerberoff

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola

We develop new strategies to build numerical relativity surrogate models for eccentric binary black hole systems, which are expected to play an increasingly important role in current and future gravitational-wave detectors. We introduce a…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Tousif Islam , Vijay Varma , Jackie Lodman , Scott E. Field , Gaurav Khanna , Mark A. Scheel , Harald P. Pfeiffer , Davide Gerosa , Lawrence E. Kidder

Waveform models are important to gravitational wave data analysis. People recently pay much attention to the waveform model construction for eccentric binary black hole coalescence. Several Effective-One-Body Numerical-Relativity waveform…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Xiaolin Liu , Zhoujian Cao , Zong-Hong Zhu

We present a reanalysis of 17 gravitational-wave events detected with Advanced LIGO and Advanced Virgo in their first three observing runs, using the new IMRPhenomTEHM model -- a phenomenological time-domain multipolar waveform model for…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Maria de Lluc Planas , Antoni Ramos-Buades , Cecilio García-Quirós , Héctor Estellés , Sascha Husa , Maria Haney

We analyze 192 sets of binary black hole merger data in eccentric orbits obtained from RIT, decomposing the radiation energy into three distinct phases through time: inspiral, late inspiral to merger, and ringdown. Our investigation reveals…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Hao Wang , Yuan-Chuan Zou , Qing Wen Wu

We discuss the initial value problem of general relativity in its recently unified Lagrangian and Hamiltonian pictures and present a multi-domain pseudo-spectral collocation method to solve the resulting coupled nonlinear partial…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Harald P. Pfeiffer

We introduce two new eccentricity measures to analyze numerical simulations. Unlike earlier definitions these eccentricity measures do not involve any free parameters which makes them easy to use. We show how relatively inexpensive grid…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Wolfgang Tichy , Pedro Marronetti

Recent studies have shown that orbital eccentricity may indicate dynamical assembly as a formation mechanism for binary black holes. Eccentricity leaves a distinct signature in gravitational wave signals and it may be measured if the binary…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Katelyn J. Wagner , Richard O'Shaughnessy

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

We perform a parameter study of non-spinning, equal and unequal mass black hole binaries on generic, eccentric orbits in numerical relativity. The linear momentum considered ranges from that of a circular orbit to ten times that value. We…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Roman Gold , Bernd Bruegmann

Detection of gravitational waves from compact binaries involving at least one intermediate mass black hole, and component mass ratios in the range $0.1$-$10^{-4}$, are among the primary sources for future space detectors with target strain…

General Relativity and Quantum Cosmology · Physics 2026-02-25 M Laxman , Ryuichi Fujita , Chandra Kant Mishra

We present techniques for successfully performing numerical relativity simulations of binary black holes with fourth-order accuracy. Our simulations are based on a new coding framework which currently supports higher order finite…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Y. Zlochower , J. G. Baker , M. Campanelli , C. O. Lousto

Eccentric black-hole binaries are among the most awaited sources of gravitational waves, yet their dynamics lack a consistent framework that provides a detailed and physically robust evolutionary description due to gauge issues. We present…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Giulia Fumagalli , Nicholas Loutrel , Davide Gerosa , Matteo Boschini

The couplings between supermassive black-hole binaries and their environments within galactic nuclei have been well studied as part of the search for solutions to the final parsec problem. The scattering of stars by the binary or the…

General Relativity and Quantum Cosmology · Physics 2016-01-26 S. R. Taylor , E. A. Huerta , J. R. Gair , S. T. McWilliams
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