A geometric approach to the precession of compact binaries

Abstract

We discuss a geometrical method to define a preferred reference frame for precessing binary systems and the gravitational waves they emit. This minimal-rotation frame is aligned with the angular-momentum axis and fixes the rotation about that axis up to a constant angle, resulting in an essentially invariant frame. Gravitational waveforms decomposed in this frame are similarly invariant under rotations of the inertial frame and exhibit relatively smoothly varying phase. By contrast, earlier prescriptions for radiation-aligned frames induce extraneous features in the gravitational-wave phase which depend on the orientation of the inertial frame, leading to fluctuations in the frequency that may compound to many gravitational-wave cycles. We explore a simplified description of post-Newtonian approximations for precessing systems using the minimal-rotation frame, and describe the construction of analytical/numerical hybrid waveforms for such systems.

Minor clarifications and journal reference

References in corpus (4)

• LISA technology and instrumentation
• Comparison of Numerical and Post-Newtonian Waveforms for Generic Precessing Black-Hole Binaries
• Orbital Evolution of Extreme-Mass-Ratio Black-Hole Binaries with Numerical Relativity
• Comparison of high-accuracy numerical simulations of black-hole binaries with stationary phase post-Newtonian template waveforms for Initial and Advanced LIGO

Cited by in corpus (100)

• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• A simple model of complete precessing black-hole-binary gravitational waveforms
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes
• The SXS Collaboration catalog of binary black hole simulations
• Surrogate models for precessing binary black hole simulations with unequal masses
• Towards models of gravitational waveforms from generic binaries II: Modelling precession effects with a single effective precession parameter
• Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism
• Multipolar Effective-One-Body Waveforms for Precessing Binary Black Holes: Construction and Validation
• Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
• Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals
• Phenomenological model for the gravitational-wave signal from precessing binary black holes with two-spin effects
• A Numerical Relativity Waveform Surrogate Model for Generically Precessing Binary Black Hole Mergers
• Constructing Gravitational Waves from Generic Spin-Precessing Compact Binary Inspirals
• Including higher order multipoles in gravitational-wave models for precessing binary black holes
• Black hole-neutron star mergers at realistic mass ratios: Equation of state and spin orientation effects
• SEOBNRv5PHM: Next generation of accurate and efficient multipolar precessing-spin effective-one-body waveforms for binary black holes
• An improved analysis of GW150914 using a fully spin-precessing waveform model
• A Surrogate Model of Gravitational Waveforms from Numerical Relativity Simulations of Precessing Binary Black Hole Mergers
• Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
• Effects of waveform model systematics on the interpretation of GW150914
• Transformations of asymptotic gravitational-wave data
• New twists in compact binary waveform modelling: a fast time domain model for precession
• Angular velocity of gravitational radiation from precessing binaries and the corotating frame
• Mixing of spherical and spheroidal modes in perturbed Kerr black holes
• Spin effects on gravitational waves from inspiraling compact binaries at second post-Newtonian order
• The Science of the Einstein Telescope
• Effective-one-body waveforms for precessing coalescing compact binaries with post-newtonian Twist
• IMRPhenomTP: A phenomenological time domain model for dominant quadrupole gravitational wave signal of coalescing binary black holes
• The final twist: A model of gravitational waves from precessing black-hole binaries through merger and ringdown
• Measuring gravitational-wave higher-order modes
• PhenomXO4a: a phenomenological gravitational-wave model for precessing black-hole binaries with higher multipoles and asymmetries
• Comparing gravitational waves from nonprecessing and precessing black hole binaries in the corotating frame
• A hybrid post-Newtonian -- effective-one-body scheme for spin-precessing compact-binary waveforms
• Defining eccentricity for gravitational wave astronomy
• Two-harmonic approximation for gravitational waveforms from precessing binaries
• Parameter Estimation with a spinning multi-mode waveform model: IMRPhenomHM
• Statistical and systematic errors for gravitational-wave inspiral signals: A principal component analysis
• Comparing Gravitational Waveform Extrapolation to Cauchy-Characteristic Extraction in Binary Black Hole Simulations
• Parameter Estimation of Gravitational Waves from Precessing BH-NS Inspirals with higher harmonics
• Precession during merger 1: Strong polarization changes are observationally accessible features of strong-field gravity during binary black hole merger
• Nonspinning searches for spinning binaries in ground-based detector data: Amplitude and mismatch predictions in the constant precession cone approximation
• Suitability of hybrid gravitational waveforms for unequal-mass binaries
• Black hole binary remnant mass and spin: A new phenomenological formula
• A single-spin precessing gravitational wave in closed form
• Validity of common modelling approximations for precessing binary black holes with higher-order modes
• Gravitational Waveforms for Precessing, Quasi-circular Binaries via Multiple Scale Analysis and Uniform Asymptotics: The Near Spin Alignment Case
• Constraining the parameters of GW150914 & GW170104 with numerical relativity surrogates
• An efficient iterative method to reduce eccentricity in numerical-relativity simulations of compact binary inspiral
• Precession-tracking coordinates for simulations of compact-object-binaries
• Improved post-Newtonian waveform model for inspiralling precessing-eccentric compact binaries
• Measuring binary black hole orbital-plane spin orientations
• A more effective coordinate system for parameter estimation of precessing compact binaries from gravitational waves
• Inspiral-merger-ringdown waveforms in Einstein-scalar-Gauss-Bonnet gravity within the effective-one-body formalism
• Modelling gravitational waves from precessing black-hole binaries: Progress, challenges and prospects
• Compact Binary Waveform Center-of-Mass Corrections
• Ringdown frequencies in black holes formed from precessing black-hole binaries
• First frequency-domain phenomenological model of the multipole asymmetry in gravitational-wave signals from binary-black-hole coalescence
• Accelerating multimodal gravitational waveforms from precessing compact binaries with artificial neural networks
• Inferring the gravitational wave memory for binary coalescence events
• Systematic Biases in Estimating the Properties of Black Holes Due to Inaccurate Gravitational-Wave Models
• Regression methods in waveform modeling: a comparative study
• Gravitational Waveforms for Precessing, Quasicircular Compact Binaries with Multiple Scale Analysis: Small Spin Expansion
• GW190521: tracing imprints of spin-precession on the most massive black hole binary
• Parametrizing gravitational-wave polarizations
• Efficient multi-timescale dynamics of precessing black-hole binaries
• Accurate and Efficient Waveform Model for Precessing Binary Black Holes
• Is J enough? Comparison of gravitational waves emitted along the total angular momentum direction with other preferred orientations
• A sparse representation of gravitational waves from precessing compact binaries
• Hints of spin-orbit resonances in the binary black hole population
• Detection and characterization of spin-orbit resonances in the advanced gravitational wave detectors era
• Efficient gravitational-wave model for fully-precessing and moderately-eccentric, compact binary inspirals
• Investigating the effect of in-plane spin directions for Precessing BBH systems
• Time-domain phenomenological multipolar waveforms for aligned-spin binary black holes in elliptical orbits
• A geometrically motivated coordinate system for exploring spacetime dynamics in numerical-relativity simulations using a quasi-Kinnersley tetrad
• Asymptotic frame selection for binary black hole spacetimes II: Post-Newtonian limit
• New gravitational waveform model for precessing binary neutron stars with double-spin effects
• Parametrized spin-precessing inspiral-merger-ringdown waveform model for tests of general relativity
• A note on gravitational wave extraction from binary simulations
• Defining eccentricity for spin-precessing binaries
• Phenomenological relationship between eccentric and quasi-circular orbital binary black hole waveform
• Rarity of precession and higher-order multipoles in gravitational waves from merging binary black holes
• A fully precessing higher-mode surrogate model of effective-one-body waveforms
• Scalar Tops and Perturbed Quadrupoles: Probing Fundamental Physics with Spin-Precessing Binaries
• Hybrid waveforms for generic precessing binaries for gravitational-wave data analysis
• The binary black hole explorer: on-the-fly visualizations of precessing binary black holes
• Testing gravitational waveform models using angular momentum
• Revisiting the relationship of black-hole kicks and multipole asymmetries
• Inferring black-hole orbital dynamics from numerical-relativity gravitational waveforms
• Building a bridge between comparable and extreme mass ratio black hole binaries: a single spin precessing model for the final state
• Waging a Campaign: Results from an Injection-Recovery Study involving 35 numerical Relativity Simulations and three Waveform Models
• Modeling Gravitational Wave Modes from the Inspiral of Binaries with Arbitrary Eccentricity
• Reducing orbital eccentricity in initial data of black hole--neutron star binaries in the puncture framework
• Hybrid waveforms for precessing quasi-circular binary systems
• Waveform model for the $(\ell =2,m=0)$ spherical harmonic and the displacement memory contribution from precessing binary black holes
• EFPE: Efficient fully precessing eccentric gravitational waveforms for binaries with long inspirals
• Plunge-Merger-Ringdown Tests of General Relativity with GW250114
• Extracting the orbital axis from gravitational waves of precessing binary systems
• Parity Violation in Spin-Precessing Binaries: Gravitational Waves from the Inspiral of Black Holes in Dynamical Chern-Simons Gravity
• Uncovering subdominant multipole asymmetries in binary black-hole mergers