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Orbital eccentricity remains one of the least accessible parameters in observations of binary black hole (BBH) systems, largely erased by gravitational radiation long before detection. We introduce a new method to recover this lost…

High Energy Astrophysical Phenomena · Physics 2025-12-29 Vishal Baibhav

While the orbital eccentricity is a key feature of the gravitational two-body problem, providing an unambiguous definition in general relativity poses significant challenges. Despite such foundational issue, the eccentricity of binary black…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Matteo Boschini , Nicholas Loutrel , Davide Gerosa , Giulia Fumagalli

The availability of accurate numerical waveforms is an important requirement for the creation and calibration of reliable waveform models for gravitational wave astrophysics. For black hole-neutron star binaries, very few accurate waveforms…

We use rigorous techniques from numerical analysis of hyperbolic equations in bounded domains to construct stable finite-difference schemes for Numerical Relativity, in particular for their use in black hole excision. As an application, we…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gioel Calabrese , Luis Lehner , David Neilsen , Jorge Pullin , Oscar Reula , Olivier Sarbach , Manuel Tiglio

A waveform model for the eccentric binary black holes named SEOBNRE has been used to analyze the LIGO-Virgo's gravitational wave data by several groups. The accuracy of this model has been validated by comparing it with numerical…

General Relativity and Quantum Cosmology · Physics 2021-06-29 Qianyun Yun , Wen-Biao Han , Xingyu Zhong , Carlos A. Benavides-Gallego

This a particularly exciting time for gravitational wave physics. Ground-based gravitational wave detectors are now operating at a sensitivity such that gravitational radiation may soon be directly detected, and recently several groups have…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , Manuela Campanelli , Frans Pretorius , Yosef Zlochower

The development of eccentric waveform models enables us to explore the growing catalog of gravitational-wave events with measurable eccentricity. This opens new opportunities to gain insight into the formation channels and evolutionary…

High Energy Astrophysical Phenomena · Physics 2026-05-15 Muhammad Zeeshan , Richard O'Shaughnessy , Natalie Malagon

The eccentricity of binary black-hole mergers is predicted to be an indicator of the history of their formation. In particular, eccentricity is a strong signature of dynamical formation rather than formation by stellar evolution in isolated…

High Energy Astrophysical Phenomena · Physics 2023-11-14 Eamonn O'Shea , Prayush Kumar

This paper is devoted to the computation of compact binaries composed of one black hole and one neutron star. The objects are assumed to be on exact circular orbits. Standard 3+1 decomposition of Einstein equations is performed and the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Philippe Grandclement

Characterizing the properties of black holes is one of the most important science objectives for gravitational-wave observations. Astrophysical evidence suggests that black holes that are nearly extremal (i.e. spins near the theoretical…

Orbital eccentricity and spin precession are precious observables to infer the formation history of binary black holes with gravitational-wave data. We present a post-Newtonian, multi-timescale analysis of the binary dynamics able to…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Giulia Fumagalli , Davide Gerosa

Numerical relativity has seen incredible progress in the last years, and is being applied with success to a variety of physical phenomena, from gravitational-wave research and relativistic astrophysics to cosmology and high-energy physics.…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Ulrich Sperhake , Vitor Cardoso , Christian D. Ott , Erik Schnetter , Helvi Witek

We present an algorithm for solving the general relativistic initial value equations for a corotating polytropic star in quasicircular orbit with a nonspinning black hole. The algorithm is used to obtain initial data for cases where the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mark Miller

Coalescing binary black-hole systems are among the most promising sources of gravitational waves for ground-based interferometers. While the \emph{inspiral} and \emph{ring-down} stages of the binary black-hole coalescence are well-modelled…

General Relativity and Quantum Cosmology · Physics 2008-11-26 P. Ajith

Binary black hole simulations have traditionally been computationally very expensive: current simulations are performed in supercomputers involving dozens if not hundreds of processors, thus systematic studies of the parameter space of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pedro Marronetti , Wolfgang Tichy , Bernd Bruegmann , Jose Gonzalez , Mark Hannam , Sascha Husa , Ulrich Sperhake

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 detection of orbital eccentricity for a binary black hole system via gravitational waves is a key signature to distinguish between the possible binary origins. The identification of eccentricity has been difficult so far due to the…

General Relativity and Quantum Cosmology · Physics 2023-09-19 H. L. Iglesias , J. Lange , I. Bartos , S. Bhaumik , R. Gamba , V. Gayathri , A. Jan , R. Nowicki , R. O'Shaughnessy , D. Shoemaker , R. Venkataramanan , K. Wagner

(Abridged) By asymptotically matching a post-Newtonian (PN) metric to two tidally perturbed Schwarzschild metrics, we generate approximate initial data (in the form of a 4-metric) for a nonspinning black hole binary in a circular orbit. We…

General Relativity and Quantum Cosmology · Physics 2010-01-07 Nathan K. Johnson-McDaniel , Nicolas Yunes , Wolfgang Tichy , Benjamin J. Owen

These notes summarize basic concepts underlying numerical relativity and in particular the numerical modeling of black hole dynamics as a source of gravitational waves. Main topics are the 3+1 decomposition of general relativity, the…

General Relativity and Quantum Cosmology · Physics 2009-02-26 Sascha Husa

Gravitational-wave detectors have begun to observe coalescences of heavy black holes at a consistent pace for the past few years. Accurate models of gravitational waveforms are essential for unbiased and precise estimation of source…

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