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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

When numerically solving Einstein's equations for binary black holes (BBH), we must find initial data on a three-dimensional spatial slice by solving constraint equations. The construction of initial data is a multi-step process, in which…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Iago B. Mendes , Nils L. Vu , Oliver Long , Harald P. Pfeiffer , Robert Owen

We compare different methods of computing the orbital eccentricity of quasi-circular binary black hole systems using the orbital variables and gravitational wave phase and frequency. For eccentricities of about a per cent, most methods work…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Abdul H. Mroué , Harald P. Pfeiffer , Lawrence E. Kidder , Saul A. Teukolsky

We calculate puncture initial data corresponding to both single and binary black hole solutions of the constraint equations by means of a pseudo-spectral method applied in a single spatial domain. Introducing appropriate coordinates, these…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marcus Ansorg , Bernd Bruegmann , Wolfgang Tichy

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 origin and formation of stellar-mass binary black holes remains an open question that can be addressed by precise measurements of the binary and orbital parameters from their gravitational-wave signal. Such binaries are expected to…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Alice Bonino , Rossella Gamba , Patricia Schmidt , Alessandro Nagar , Geraint Pratten , Matteo Breschi , Piero Rettegno , Sebastiano Bernuzzi

Spacetime is foliated by spatial hypersurfaces in the 3+1 split of General Relativity. The initial value problem then consists of specifying initial data for all relevant fields on one such a spatial hypersurface. These fields are the…

General Relativity and Quantum Cosmology · Physics 2017-01-04 Wolfgang Tichy

Understanding the predictions of general relativity for the dynamical interactions of two black holes has been a long-standing unsolved problem in theoretical physics. Black-hole mergers are monumental astrophysical events, releasing…

General Relativity and Quantum Cosmology · Physics 2011-09-29 Joan M. Centrella , John G. Baker , Bernard J. Kelly , James R. van Meter

The construction of initial-data sets representing binary black-hole configurations in quasi-circular orbits is studied in the context of the conformal-imaging formalism. An effective-potential approach for locating quasi-circular orbits is…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Gregory B. Cook

We present a prescription for computing gravitational waveforms for the inspiral, merger and ringdown of non-spinning eccentric binary black hole systems. The inspiral waveform is computed using the post-Newtonian expansion and the merger…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Ian Hinder , Lawrence E. Kidder , Harald P. Pfeiffer

One of the major assumptions in the search for gravitational wave signatures from massive and supermassive black hole binaries with LISA, is that these systems will have circularized before entering the LISA bandwidth. Current astrophysical…

General Relativity and Quantum Cosmology · Physics 2010-05-31 Edward K. Porter , Alberto Sesana

We give an introduction to the Einstein Toolkit, a mature, open-source computational infrastructure for numerical relativity based on the Cactus Framework, for the target group of new users. This toolkit is composed of several different…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Miguel Zilhão , Frank Löffler

In this exploratory study, we demonstrate the capability of the numerical-relativity code BAM to simulate fully relativistic black-hole binary-single and binary-binary encounters. While previous work has demonstrated the general capability…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Felix M. Heinze , Bernd Brügmann , Tim Dietrich , Ivan Markin

The RIT numerical relativity group is releasing a public catalog of black-hole-binary waveforms. The initial release of the catalog consists of 126 recent simulations that include precessing and non precessing systems with mass ratios…

General Relativity and Quantum Cosmology · Physics 2017-11-22 James Healy , Carlos O. Lousto , Yosef Zlochower , Manuela Campanelli

We present fully general relativistic simulations of the quasi-circular inspiral and merger of charged, non-spinning, binary black holes with charge-to-mass ratio $\lambda \le 0.3$. We discuss the key features that enabled long term and…

General Relativity and Quantum Cosmology · Physics 2022-08-12 Gabriele Bozzola , Vasileios Paschalidis

The conformal method for constructing initial data for Einstein's equations is presented in both the Hamiltonian and Lagrangian picture (extrinsic curvature decomposition and conformal thin sandwich formalism, respectively), and advantages…

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

In this work, we present a work in progress towards an efficient and economical computational module which interfaces between Cauchy and characteristic evolution codes. Our goal is to provide a standardized waveform extraction tool for the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 M. C. Babiuc , J. Winicour , Y. Zlochower

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

The construction of initial data for black-hole binaries usually involves the choice of free parameters that define the spins of the black holes and essentially the eccentricity of the orbit. Such parameters must be chosen carefully to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Matthew Caudill , Gregory B. Cook , Jason D. Grigsby , Harald P. Pfeiffer

Dynamically assembled binary black holes are expected to retain measurable orbital eccentricity in the LIGO-Virgo-KAGRA band, but most parameter estimation analyses still assume quasi-circular inspirals. This raises a critical question: how…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Tamal RoyChowdhury , V. Gayathri , Rossella Gamba , Shubhagata Bhaumik , Imre Bartos , Jolien Creighton
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