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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 discuss a new N-body simulation method for studying black hole binary dynamics. This method avoids previous numerical problems due to large mass ratios and trapped orbits with short periods. A treatment of relativistic effects is…

Astrophysics · Physics 2009-11-07 Sverre J Aarseth

Gravitational waves from the coalescence of two black holes carry the signature of the strong field dynamics of binary black holes. In this work we have used numerical relativity simulations and post-Newtonian theory to investigate this…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Ssohrab Borhanian , K. G. Arun , Harald P. Pfeiffer , B. S. Sathyaprakash

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

We probe the gravitational interaction of two black holes in the strong-field regime by computing the scattering angle $\chi$ of hyperbolic-like, close binary-black-hole encounters as a function of the impact parameter. The fully…

General Relativity and Quantum Cosmology · Physics 2014-07-18 Thibault Damour , Federico Guercilena , Ian Hinder , Seth Hopper , Alessandro Nagar , Luciano Rezzolla

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

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

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

Binary black hole systems are among the most important sources for gravitational wave detection. And also they are good objects for theoretical research for general relativity. Gravitational waveform template is important to data analysis.…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Zhoujian Cao , Wen-Biao Han

Numerical relativity simulations of merging black holes provide the most accurate description of the binary dynamics and the emitted gravitational wave signal. However, practical considerations such as imperfect initial data and initial…

General Relativity and Quantum Cosmology · Physics 2025-01-17 Taylor Knapp , Katerina Chatziioannou , Harald Pfeiffer , Mark A. Scheel , Lawrence E. Kidder

(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

We present gravitational waveforms for the last orbits and merger of black-hole-binary (BBH) systems along two branches of the BBH parameter space: equal-mass binaries with equal non-precessing spins, and nonspinning unequal-mass binaries.…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Mark Hannam , Sascha Husa , Frank Ohme , Doreen Mueller , Bernd Bruegmann

Recent gravitational wave (GW) detections showing signatures of eccentricity and spin precession underscore the need to model binary black holes (BBHs) possessing these features simultaneously. Most efforts over the past fifteen years to…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Tom Colin , Sashwat Tanay , Laura Bernard

The inspiral and merger of supermassive black hole binary systems with high orbital eccentricity are among the promising sources of the advanced gravitational wave observatories. In this paper we derive analytic ready-to-use first…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Balázs Mikóczi , Péter Forgács , Mátyás Vasúth

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

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

A new approach to construct initial data for binary systems with neutron star components is introduced. The approach is a generalization of the puncture initial data method for binary black holes based on Bowen-York solutions to the…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Michael Clark , Pablo Laguna

This paper presents techniques and results for simulations of unequal mass, non-spinning black hole binaries with pseudo-spectral methods. Specifically, we develop an efficient root-finding procedure to ensure the black hole initial data…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Luisa T. Buchman , Harald P. Pfeiffer , Mark A. Scheel , Bela Szilagyi

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

Building upon recent work, we present an improved effective-one-body (EOB) model for spin-aligned, coalescing, black hole binaries with generic orbital configurations, i.e. quasi-circular, eccentric or hyperbolic orbits. The model relies on…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Alessandro Nagar , Alice Bonino , Piero Rettegno