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We present an approximate metric for a binary black hole spacetime to construct initial data for numerical relativity. This metric is obtained by asymptotically matching a post-Newtonian metric for a binary system to a perturbed…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nicolas Yunes , Wolfgang Tichy , Benjamin J. Owen , Bernd Bruegmann

We introduce a method to quantify the initial eccentricity, gravitational wave frequency, and mean anomaly of numerical relativity simulations that describe non-spinning black holes on moderately eccentric orbits. We demonstrate that this…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Sarah Habib , E. A. Huerta

In numerical evolutions of binary black holes (BBH) it is desirable to easily control the orbital eccentricity of the BBH, and the number of orbits completed by the binary through merger. This paper presents fitting formulae that allow to…

General Relativity and Quantum Cosmology · Physics 2012-10-11 Abdul H. Mroué , Harald P. Pfeiffer

The detection of gravitational-wave signals from coalescing eccentric binary black holes would yield unprecedented information about the formation and evolution of compact binaries in specific scenarios, such as dynamical formation in dense…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Yoshinta Setyawati , Frank Ohme

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

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

Standard puncture initial data have been widely used for numerical binary black hole evolutions despite their shortcomings, most notably the inherent lack of gravitational radiation at the initial time that is later followed by a burst of…

General Relativity and Quantum Cosmology · Physics 2015-03-20 George Reifenberger , Wolfgang Tichy

Orbital eccentricity in compact binaries is considered to be a key tracer of their astrophysical origin, and can be inferred from gravitational-wave observations due to its imprint on the emitted signal. For a robust measurement, accurate…

General Relativity and Quantum Cosmology · Physics 2024-12-11 Alice Bonino , Patricia Schmidt , Geraint Pratten

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

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

Simulation of quasicircular compact binaries is a major goal in numerical relativity, as they are expected to constitute most gravitational wave observations. However, given that orbital eccentricity is not well-defined in general…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Sarah Habib , Mark Scheel , Saul Teukolsky

Gravitational wave observations of eccentric binary black hole mergers will provide unequivocal evidence for the formation of these systems through dynamical assembly in dense stellar environments. The study of these astrophysically…

General Relativity and Quantum Cosmology · Physics 2019-09-06 E. A. Huerta , Roland Haas , Sarah Habib , Anushri Gupta , Adam Rebei , Vishnu Chavva , Daniel Johnson , Shawn Rosofsky , Erik Wessel , Bhanu Agarwal , Diyu Luo , Wei Ren

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thierry Mora , Clifford M. Will

Orbital eccentricity is a key signature of dynamical binary black hole formation. The gravitational waves from a coalescing binary contain information about its orbital eccentricity, which may be measured if the binary retains sufficient…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Alan M. Knee , Isobel M. Romero-Shaw , Paul D. Lasky , Jess McIver , Eric Thrane

Reducing orbital eccentricity in numerical relativity simulations of binary black holes is essential for producing astrophysically relevant gravitational wave models, as many of these systems are expected to be near-circular in nature.…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Vittoria Tommasini , Nils L. Vu , Mark A. Scheel , Saul A. Teukolsky

Traditional black-hole binary puncture initial data is conformally flat. This unphysical assumption is coupled with a lack of radiation signature from the binary's past life. As a result, waveforms extracted from evolutions of this data…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Bruno C. Mundim , Bernard J. Kelly , Yosef Zlochower , Hiroyuki Nakano , Manuela Campanelli

We perform several black-hole binary evolutions using fully nonlinear numerical relativity techniques at separations large enough that low-order post-Newtonian expansions are expected to be accurate. As a case study, we evolve an equal-mass…

General Relativity and Quantum Cosmology · Physics 2013-07-04 Carlos O. Lousto , Yosef Zlochower

With the goal of taking a step toward the construction of astrophysically realistic initial data for numerical simulations of black holes, we for the first time derive a family of fully general relativistic initial data based on…

General Relativity and Quantum Cosmology · Physics 2008-11-26 W. Tichy , B. Bruegmann , M. Campanelli , P. Diener

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

Gravitational waves (GW) from eccentric binaries have intricate signals encoding important features about the location, creation and evolution of the sources. Eccentricity shortens the merger time, making the emitted GW statistically…

General Relativity and Quantum Cosmology · Physics 2024-05-13 Dillon Buskirk , Maria C. Babiuc Hamilton