Precession-tracking coordinates for simulations of compact-object-binaries
arXiv:1304.3067 · doi:10.1103/PhysRevD.88.084031
Abstract
Binary black hole simulations with black hole excision using spectral methods require a coordinate transformation into a co-rotating coordinate system where the black holes are essentially at rest. This paper presents and discusses two coordinate transformations that are applicable to precessing binary systems, one based on Euler angles, the other on quaternions. Both approaches are found to work well for binaries with moderate precession, i.e. for cases where the orientation of the orbital plane changes by much less than 90 degrees. For strong precession, performance of the Euler-angle parameterization deteriorates, eventually failing for a 90 degree change in orientation because of singularities in the parameterization ("gimbal lock"). In contrast, the quaternion representation is invariant under an overall rotation, and handles any orientation of the orbital plane as well as the Euler-angle technique handles non-precessing binaries.
11 pages, 7 figures, 1 table
References in corpus (15)
- High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
- Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-spinning, equal-mass black holes
- An improved analytical description of inspiralling and coalescing black-hole binaries
- Solving Einstein's Equations With Dual Coordinate Frames
- Reducing orbital eccentricity in binary black hole simulations
- Spin Flips and Precession in Black-Hole-Binary Mergers
- Binary-black-hole initial data with nearly-extremal spins
- Black hole-neutron star mergers at realistic mass ratios: Equation of state and spin orientation effects
- Comparison of Numerical and Post-Newtonian Waveforms for Generic Precessing Black-Hole Binaries
- Dynamical Excision Boundaries in Spectral Evolutions of Binary Black Hole Spacetimes
- Nonlinear Gravitational Recoil from the Mergers of Precessing Black-Hole Binaries
- Accuracy and effectualness of closed-form, frequency-domain waveforms for non-spinning black hole binaries
- Suitability of hybrid gravitational waveforms for unequal-mass binaries
- Complete phenomenological gravitational waveforms from spinning coalescing binaries
- Modeling Gravitational Recoil Using Numerical Relativity
Cited by in corpus (33)
- Frequency-domain gravitational waves from non-precessing black-hole binaries. I. New numerical waveforms and anatomy of the signal
- Binary neutron-star mergers: a review of Einstein's richest laboratory
- The SXS Collaboration catalog of binary black hole simulations
- A catalog of 174 binary black-hole simulations for gravitational-wave astronomy
- Setting the cornerstone for the IMRPhenomX family of models for gravitational waves from compact binaries: The dominant harmonic for non-precessing quasi-circular black holes
- Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
- Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
- Improved methods for simulating nearly extremal binary black holes
- Gravitational-wave observations of binary black holes: Effect of non-quadrupole modes
- Detectability of gravitational waves from binary black holes: Impact of precession and higher modes
- Modeling the source of GW150914 with targeted numerical-relativity simulations
- Effects of nonquadrupole modes in the detection and parameter estimation of black hole binaries with nonprecessing spins
- Comparing Gravitational Waveform Extrapolation to Cauchy-Characteristic Extraction in Binary Black Hole Simulations
- Binary Neutron Stars with Arbitrary Spins in Numerical Relativity
- Simulations of inspiraling and merging double neutron stars using the Spectral Einstein Code
- The SXS Collaboration's third catalog of binary black hole simulations
- Nearly extremal apparent horizons in simulations of merging black holes
- Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
- Improvements to the construction of binary black hole initial data
- Gravitational Waveforms for Precessing, Quasi-circular Binaries via Multiple Scale Analysis and Uniform Asymptotics: The Near Spin Alignment Case
- High accuracy post-Newtonian and numerical relativity comparisons involving higher modes for eccentric binary black holes and a dominant mode eccentric inspiral-merger-ringdown model
- Comparing Remnant Properties from Horizon Data and Asymptotic Data in Numerical Relativity
- Fundamental frequencies and resonances from eccentric and precessing binary black hole inspirals
- Targeted numerical simulations of binary black holes for GW170104
- Impact of eccentricity and mean anomaly in numerical relativity mergers
- Late-time tails in nonlinear evolutions of merging black holes
- Free evolution of the hyperboloidal initial value problem in spherical symmetry
- Highly accurate simulations of asymmetric black-hole scattering and cross validation of effective-one-body models
- Phenomenological gravitational waveform model of binary black holes incorporating horizon fluxes
- Biased parameter inference of eccentric, spin-precessing binary black holes
- Fast and accurate parameter estimation of high-redshift sources with the Einstein Telescope
- Numerical-relativity surrogate modeling with nearly extremal black-hole spins
- Black-hole scattering with numerical relativity: Self-force extraction and post-Minkowskian validation