468 citations · 1.8k across the 16 of their papers we have counts for
16 papers
Building Three-Dimensional Differentiable Manifolds Numerically
Lee Lindblom, Oliver Rinne, Nicholas W. Taylor
A method is developed here for building differentiable three-dimensional manifolds on multicube structures. This method constructs a sequence of reference metrics that determine di…
Scalar, Vector and Tensor Harmonics on the Three-Sphere
Lee Lindblom, Nicholas W. Taylor, Fan Zhang
Scalar, vector and tensor harmonics on the three-sphere were introduced originally to facilitate the study of various problems in gravitational physics. These harmonics are defined…
Constructing Reference Metrics on Multicube Representations of Arbitrary Manifolds
Lee Lindblom, Nicholas W. Taylor, Oliver Rinne
Reference metrics are used to define the differential structure on multicube representations of manifolds, i.e., they provide a simple and practical way to define what it means glo…
What does a binary black hole merger look like?
Andy Bohn, William Throwe, François Hébert +4
We present a method of calculating the strong-field gravitational lensing caused by many analytic and numerical spacetimes. We use this procedure to calculate the distortion caused…
Solving Einstein's Equation Numerically on Manifolds With Arbitrary Spatial Topologies
Lee Lindblom, Bela Szilagyi, Nicholas W. Taylor
This paper develops a method for solving Einstein's equation numerically on multi-cube representations of manifolds with arbitrary spatial topologies. This method is designed to pr…
Effective-one-body model for black-hole binaries with generic mass ratios and spins
Andrea Taracchini, Alessandra Buonanno, Yi Pan +11
Gravitational waves emitted by black-hole binary systems have the highest signal-to-noise ratio in LIGO and Virgo detectors when black-hole spins are aligned with the orbital angul…
Comparing Gravitational Waveform Extrapolation to Cauchy-Characteristic Extraction in Binary Black Hole Simulations
Nicholas W. Taylor, Michael Boyle, Christian Reisswig +4
We extract gravitational waveforms from numerical simulations of black hole binaries computed using the Spectral Einstein Code. We compare two extraction methods: direct constructi…
Periastron advance in spinning black hole binaries: comparing effective-one-body and Numerical Relativity
Tanja Hinderer, Alessandra Buonanno, Abdul H. Mroué +8
We compute the periastron advance using the effective-one-body formalism for binary black holes moving on quasi-circular orbits and having spins collinear with the orbital angular…
Periastron Advance in Spinning Black Hole Binaries: Gravitational Self-Force from Numerical Relativity
Alexandre Le Tiec, Alessandra Buonanno, Abdul H. Mroué +8
We study the general relativistic periastron advance in spinning black hole binaries on quasi-circular orbits, with spins aligned or anti-aligned with the orbital angular momentum,…
Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
Ian Hinder, Alessandra Buonanno, Michael Boyle +53
The Numerical-Relativity-Analytical-Relativity (NRAR) collaboration is a joint effort between members of the numerical relativity, analytical relativity and gravitational-wave data…
Final spin and radiated energy in numerical simulations of binary black holes with equal masses and equal, aligned or anti-aligned spins
Daniel A. Hemberger, Geoffrey Lovelace, Thomas J. Loredo +5
The behavior of merging black holes (including the emitted gravitational waves and the properties of the remnant) can currently be computed only by numerical simulations. This pape…
A catalog of 174 binary black-hole simulations for gravitational-wave astronomy
Abdul H. Mroue, Mark A. Scheel, Bela Szilagyi +14
This paper presents a publicly available catalog of 174 numerical binary black-hole simulations following up to 35 orbits. The catalog includes 91 precessing binaries, mass ratios…
Dynamical Excision Boundaries in Spectral Evolutions of Binary Black Hole Spacetimes
Daniel A. Hemberger, Mark A. Scheel, Lawrence E. Kidder +4
Simulations of binary black hole systems using the Spectral Einstein Code (SpEC) are done on a computational domain that excises the regions inside the black holes. It is imperativ…
Suitability of hybrid gravitational waveforms for unequal-mass binaries
Ilana MacDonald, Abdul H. Mroue, Harald P. Pfeiffer +5
This article studies sufficient accuracy criteria of hybrid post-Newtonian (PN) and numerical relativity (NR) waveforms for parameter estimation of strong binary black-hole sources…
The NINJA-2 catalog of hybrid post-Newtonian/numerical-relativity waveforms for non-precessing black-hole binaries
P. Ajith, Michael Boyle, Duncan A. Brown +45
The Numerical INJection Analysis (NINJA) project is a collaborative effort between members of the numerical relativity and gravitational wave data analysis communities. The purpose…
Spectral methods for the wave equation in second-order form
Nicholas W. Taylor, Lawrence E. Kidder, Saul A. Teukolsky
Current spectral simulations of Einstein's equations require writing the equations in first-order form, potentially introducing instabilities and inefficiencies. We present a new p…