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Numerical relativity simulations provide a full description of the dynamics of binary systems, including gravitational radiation. The waveforms produced by these simulations have a number of applications in gravitational-wave detection and…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Taylor Knapp , Katerina Chatziioannou , Keefe Mitman , Mark A. Scheel , Michael Boyle , Lawrence E. Kidder , Harald Pfeiffer

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

This is a collection of literature reviews and some initial work on the estimation of the frequency of gravitational waves from a binary black hole merger for low SNR. This document provides a starting point, with a broad overview of the…

General Relativity and Quantum Cosmology · Physics 2020-11-11 Varun Nagesh Jolly Behera , Anik Kumar Samanta , Aurobinda Routray

We present a study of the gravitational waveforms from a series of spinning, equal-mass black hole binaries focusing on the harmonic content of the waves and the contribution of the individual harmonics to the signal-to-noise ratio. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Deirdre Shoemaker , Birjoo Vaishnav , Ian Hinder , Frank Herrmann

Inferring the properties of colliding black holes from gravitational-wave observations is subject to systematic errors arising from modelling uncertainties. Although the accuracy of each model can be calculated through comparison to…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Charlie Hoy , Sarp Akcay , Jake Mac Uilliam , Jonathan E. Thompson

We analyze a new numerical relativity dataset of spinning but nonprecessing binary black holes on eccentric orbits, with eccentricities from approximately $0.1$ to $0.5$, with dimensionless spins up to $0.75$ included at mass ratios…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Antoni Ramos-Buades , Sascha Husa , Geraint Pratten , Héctor Estellés , Cecilio García-Quirós , Maite Mateu-Lucena , Marta Colleoni , Rafel Jaume

We perform the first fully nonlinear numerical simulations of black-hole binaries with mass ratios 100:1. Our technique for evolving such extreme mass ratios is based on the moving puncture approach with a new gauge condition and an optimal…

General Relativity and Quantum Cosmology · Physics 2011-07-04 Carlos O. Lousto , Yosef Zlochower

Coalescing binaries of neutron stars (NS) and black holes (BH) are one of the most important sources of gravitational waves for the upcoming network of ground based detectors. Detection and extraction of astrophysical information from…

General Relativity and Quantum Cosmology · Physics 2016-08-08 Prayush Kumar , Kevin Barkett , Swetha Bhagwat , Nousha Afshari , Duncan A. Brown , Geoffrey Lovelace , Mark A. Scheel , Béla Szilágyi

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…

Building initial conditions for generic binary black-hole evolutions without initial spurious eccentricity remains a challenge for numerical-relativity simulations. This problem can be overcome by applying an eccentricity-removal procedure…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Alessandra Buonanno , Lawrence E. Kidder , Abdul H. Mroué , Harald P. Pfeiffer , Andrea Taracchini

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

The ''ringdown'' stage of gravitational-wave signals from binary black hole mergers, mainly consisting of a superposition of quasinormal modes emitted by the merger remnant, is a key tool to test fundamental physics and to probe black hole…

General Relativity and Quantum Cosmology · Physics 2025-11-06 Francesco Crescimbeni , Gregorio Carullo , Emanuele Berti , Giada Caneva Santoro , Mark Ho-Yeuk Cheung , Paolo Pani

The inspiral and merger of black-hole binary systems are a promising source of gravitational waves. The most effective method to look for a signal with a well understood waveform, such as the binary black hole signal, is matched filtering…

General Relativity and Quantum Cosmology · Physics 2014-05-15 Larne Pekowsky , James Healy , Deirdre Shoemaker , Pablo Laguna

Black hole binaries on non-eccentric orbits form an important subclass of gravitational wave sources, but it is a non-trivial issue to construct numerical initial data with minimal initial eccentricity for numerical simulations. We compute…

General Relativity and Quantum Cosmology · Physics 2010-03-29 Benny Walther , Bernd Bruegmann , Doreen Mueller

We present an analytical formalism, within the Effective-One-Body framework, which predicts gravitational-wave signals from inspiralling and coalescing black-hole binaries that agree, within numerical errors, with the results of the…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Thibault Damour , Alessandro Nagar

Accurate modeling of gravitational waves from binary black hole mergers is essential for extracting their rich physics. A key detail for understanding the physics of mergers is predicting the precise time when the amplitude of the…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Anuj Kankani , Sean T. McWilliams

Gravitational wave observations from merging compact objects are becoming commonplace, and as detectors improve and gravitational wave sources become more varied, it is increasingly important to have dense and expansive template banks of…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Deborah Ferguson

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

In the last five years, gravitational-wave astronomy has gone from a purely theoretical field into a thriving experimental science. Many gravitational-wave signals, emitted by stellar-mass binary black holes and binary neutron stars, have…

General Relativity and Quantum Cosmology · Physics 2022-01-11 Roberto Cotesta

An orbiting black hole binary will generate strong gravitational radiation signatures, making these binaries important candidates for detection in gravitational wave observatories. The gravitational radiation is characterized by the orbital…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Erin Bonning , Pedro Marronetti , David Neilsen , Richard Matzner