FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis

Abstract

We present the FastEMRIWaveforms (FEW) package, a collection of tools to build and analyze extreme mass ratio inspiral (EMRI) waveforms. Here, we expand on the Physical Review Letter that introduced the first fast and accurate fully-relativistic EMRI waveform template model. We discuss the construction of the overall framework; constituent modules; and the general methods used to accelerate EMRI waveforms. Because the fully relativistic FEW model waveforms are for now limited to eccentric orbits in the Schwarzschild spacetime, we also introduce an improved Augmented Analytic Kludge (AAK) model that describes generic Kerr inspirals. Both waveform models can be accelerated using graphics processing unit (GPU) hardware. With the GPU-accelerated waveforms in hand, a variety of studies are performed including an analysis of EMRI mode content, template mismatch, and fully Bayesian Markov Chain Monte Carlo-based EMRI parameter estimation. We find relativistic EMRI waveform templates can be generated with fewer harmonic modes ($\sim 10-100$) without biasing signal extraction. However, we show for the first time that extraction of a relativistic injection with semi-relativistic amplitudes can lead to strong bias and anomalous structure in the posterior distribution for certain regions of parameter space.

26 pages, 12 Figures, FastEMRIWaveforms Package: bhptoolkit.org/FastEMRIWaveforms/

References in corpus (24)

• Array Programming with NumPy
• Gravitational-wave sensitivity curves
• Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
• Can environmental effects spoil precision gravitational-wave astrophysics?
• Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes
• Gravitational wave snapshots of generic extreme mass ratio inspirals
• Precision of Hubble constant derived using black hole binary absolute distances and statistical redshift information
• LISA detections of massive black hole inspirals: parameter extraction errors due to inaccurate template waveforms
• The influence of the hydrodynamic drag from an accretion torus on extreme mass-ratio inspirals
• Towards adiabatic waveforms for inspiral into Kerr black holes: II. Dynamical sources and generic orbits
• LISA extreme-mass-ratio inspiral events as probes of the black hole mass function
• Environmental Effects for Gravitational-wave Astrophysics
• Extreme Mass-Ratio Inspirals in the Effective-One-Body Approach: Quasi-Circular, Equatorial Orbits around a Spinning Black Hole
• Forced motion near black holes
• Gravitational waves from Extreme Mass Ratio Inspirals in non-pure Kerr spacetimes
• Evolution of small-mass-ratio binaries with a spinning secondary
• X-MRIs: Extremely Large Mass-Ratio Inspirals
• Gravitational waves from bodies orbiting the Galactic Center black hole and their detectability by LISA
• An algorithm for detection of extreme mass ratio inspirals in LISA data
• Assessing the impact of transient orbital resonances
• Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
• Determination of new coefficients in the angular momentum and energy fluxes at infinity to 9PN for eccentric Schwarzschild extreme-mass-ratio inspirals using mode-by-mode fitting

Cited by in corpus (117)

• Gravitational waveforms for compact binaries from second-order self-force theory
• Detecting fundamental fields with LISA observations of gravitational waves from extreme mass-ratio inspirals
• The Science of the Einstein Telescope
• Heterodyned Likelihood for Rapid Gravitational Wave Parameter Inference
• Extreme mass-ratio inspirals into black holes surrounded by scalar clouds
• Adiabatic waveforms from extreme-mass-ratio inspirals: an analytical approach
• Extreme mass-ratio inspirals around a spinning horizonless compact object
• Extreme mass-ratio inspirals in ultra-light dark matter
• Defining eccentricity for gravitational wave astronomy
• Assessing the detectability of the secondary spin in extreme mass-ratio inspirals with fully-relativistic numerical waveforms
• Assessing the impact of transient orbital resonances
• Surrogate model for gravitational wave signals from non-spinning, comparable- to large-mass-ratio black hole binaries built on black hole perturbation theory waveforms calibrated to numerical relativity
• Taiji Data Challenge for Exploring Gravitational Wave Universe
• Comparing second-order gravitational self-force and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries II: the large-mass-ratio case
• Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
• Detecting Gravitational-waves from Extreme Mass Ratio Inspirals using Convolutional Neural Networks
• Priorities in gravitational waveforms for future space-borne detectors: vacuum accuracy or environment?
• Fast and Fourier: Extreme Mass Ratio Inspiral Waveforms in the Frequency Domain
• Non-local parameter degeneracy in the intrinsic space of gravitational-wave signals from extreme-mass-ratio inspirals
• Evidence for eccentricity in the population of binary black holes observed by LIGO-Virgo-KAGRA
• Gravitational waves from eccentric extreme mass-ratio inspirals as probes of scalar fields
• Extreme mass-ratio inspiral and waveforms for a spinning body into a Kerr black hole via osculating geodesics and near-identity transformations
• Analytic Kludge Waveforms for Extreme Mass Ratio Inspirals of Charged Object around Kerr-Newman Black Hole
• Modeling transient resonances in extreme-mass-ratio inspirals
• Space-based gravitational wave signal detection and extraction with deep neural network
• On Detecting Equatorial Symmetry Breaking with LISA
• Effective-one-body waveforms for extreme-mass-ratio binaries: Consistency with second-order gravitational self-force quasicircular results and extension to nonprecessing spins and eccentricity
• Extreme Love in the SPA: constraining the tidal deformability of supermassive objects with extreme mass ratio inspirals and semi-analytical, frequency-domain waveforms
• Detecting Subsolar-Mass Primordial Black Holes in Extreme Mass-Ratio Inspirals with LISA and Einstein Telescope
• Extreme-mass-ratio burst detection with TianQin
• Adiabatic equatorial inspirals of a spinning body into a Kerr black hole
• Self-force framework for transition-to-plunge waveforms
• Impact of relativistic waveforms in LISA's science objectives with extreme-mass-ratio inspirals
• Detection of scalar fields by Extreme Mass Ratio Inspirals with a Kerr black hole
• Identification of Gravitational-waves from Extreme Mass Ratio Inspirals
• Self-forced inspirals with spin-orbit precession
• Spinning particles near Kerr black holes: Orbits and gravitational-wave fluxes through the Hamilton-Jacobi formalism
• LISA stellar-mass black hole searches with semicoherent and particle-swarm methods
• Rapid determination of LISA sensitivity to extreme mass ratio inspirals with machine learning
• Orbital eccentricity in general relativity from catastrophe theory
• Repeating Nuclear Transients as Candidate Electromagnetic Counterparts of LISA Extreme Mass Ratio Inspirals
• Fast inspirals and the treatment of orbital resonances
• Fully Relativistic Treatment of Extreme Mass-Ratio Inspirals in Collisionless Environments
• Probing horizon scale quantum effects with Love
• Extreme mass ratio inspirals in rotating dark matter spikes
• A weakly-parametric approach to stochastic background inference in LISA
• BHPWAVE: An adiabatic gravitational waveform model for compact objects undergoing quasi-circular inspirals into rotating massive black holes
• Dilated convolutional neural network for detecting extreme-mass-ratio inspirals
• A one-stop function for gravitational-wave detection, identification and inference
• Action-Angle formalism for extreme mass ratio inspirals in Kerr spacetime
• Probing fundamental physics with Extreme Mass Ratio Inspirals: a full Bayesian inference for scalar charge
• Detecting Fundamental Vector Fields with LISA
• Resonance crossing of a charged body in a magnetized Kerr background: an analogue of extreme mass ratio inspiral
• Extreme mass ratio inspirals in dark matter halos: dynamics and distinguishability of halo models
• A geometric template bank for the detection of spinning low-mass compact binaries with moderate orbital eccentricity
• Testing gravity with Extreme-Mass-Ratio Inspirals
• Gravitational memory: new results from post-Newtonian and self-force theory
• Implementation of a GHZ-Teukolsky puncture scheme for gravitational self-force calculations
• Observing white dwarf tidal stripping with TianQin gravitational wave observatory
• The implications of stochastic gas torques for asymmetric binaries in the LISA band
• Post-adiabatic waveform-generation framework for asymmetric precessing binaries
• Post-Newtonian expansions of extreme mass ratio inspirals of spinning bodies into Schwarzschild black holes
• Constraining the EdGB Theory with Extreme Mass-Ratio Inspirals
• GWSpace: a multi-mission science data simulator for space-based gravitational wave detection
• High-order post-Newtonian expansion of the redshift invariant for eccentric-orbit non-spinning extreme-mass-ratio inspirals
• Relativistic model of binary extreme-mass-ratio inspiral systems and their gravitational radiation
• Probing new fundamental fields with Extreme Mass Ratio Inspirals
• Detecting the massive vector field with extreme mass-ratio inspirals
• Gravitational waves for eccentric extreme mass ratio inspirals of self-dual spacetime
• EMRI_MC: A GPU-based Python code for Bayesian inference of EMRI waveforms
• Fundamental Physics and Cosmology with TianQin
• Approach to the separatrix with eccentric orbits
• Gravitational Wave Peeps from EMRIs and their Implication for LISA Signal Confusion Noise
• Resonant excitation of eccentricity in spherical extreme-mass-ratio inspirals
• A novel stacked hybrid autoencoder for imputing LISA data gaps
• Eccentricity distribution of extreme mass ratio inspirals
• Transition-to-plunge self-force waveforms with a spinning primary
• Post-Newtonian theory-inspired framework for characterizing eccentricity in gravitational waveforms
• Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
• Improving the scalability of Gaussian-process error marginalization in gravitational-wave inference
• Assessing the systematic errors of extreme-mass-ratio inspirals waveforms for testing general relativity
• Extended mass distribution of PBHs during QCD phase transition: SGWB and mini-EMRIs
• Analytical model of precessing binaries using post-Newtonian theory in the extreme mass-ratio limit I: General Formalism
• Simple, efficient method of calculating the Detweiler-Whiting singular field to very high order
• Extreme Mass-Ratio Binary Black Hole Merger: Characteristics of the Test-Particle Limit
• Imprints of extra dimensions in eccentric extreme-mass-ratio inspirals gravitational waveforms
• Systematic errors in fast relativistic waveforms for Extreme Mass Ratio Inspirals
• Spherical inspirals of spinning bodies into Kerr black holes
• Probing Kalb-Ramond field with extreme mass ratio inspirals
• Extreme mass-ratio inspirals and extra dimensions: Insights from modified Teukolsky framework
• Lensing by black holes within astrophysical environments
• A multi-parameter expansion for the evolution of asymmetric binaries in astrophysical environments
• A note on the conversion of orbital angles for extreme mass ratio inspirals
• Intermediate Mass Ratio Inspirals in Milky Way Galaxies
• Generative adversarial network for stellar core-collapse gravitational waves
• Relieving scale disparity in binary black hole simulations
• Resonant interactions from dynamical perturbers on generic orbits around an extreme mass ratio inspiral
• Hubble constant measurement from QPEs as electromagnetic counterparts to extreme mass ratio inspirals
• Constants of motion in gravitational self-force theory
• Constraining the Deviation of Kerr Metric via Bumpy Parameterization and Particle Swarm Optimization in Extreme Mass-Ratio Inspirals
• Chase Orbits, not Time: A Scalable Paradigm for Long-Duration Eccentric Gravitational-Wave Surrogates
• Estimating High-Order Time Derivatives of Kerr Orbital Functionals
• Gravitational Wave Peep Contributions to Background Signal Confusion Noise for LISA
• Shadow constraints of charged black hole with scalar hair and gravitational waves from extreme mass ratio inspirals
• Secular evolution of orbital parameters for general bound orbits in Kerr spacetime
• Revealing massive black hole astrophysics: The potential of hierarchical inference with extreme mass-ratio inspiral observations
• The impact of relativistic corrections on the detectability of dark-matter spikes with gravitational waves
• Particles with precessing spin in Kerr spacetime: analytic solutions for eccentric orbits and homoclinic motion near the equatorial plane
• Exploiting Newton-factorized, 2PN-accurate, waveform multipoles in effective-one-body models for spin-aligned noncircularized binaries
• Extreme mass-ratio inspirals as probes of scalar fields: eccentric equatorial orbits around Kerr black holes
• Assessing the performance of future space-based detectors: Astrophysical foregrounds and individual sources
• When vacuum breaks: a self-consistency test for astrophysical environments in extreme mass ratio inspirals
• Prospects for detecting asteroid-mass primordial black holes in extreme mass-ratio inspirals with continuous gravitational waves
• Legacy of the First Workshop on Gravitational Wave Astrophysics for Early Career Scientists
• Constructing a gravitational wave analysis pipeline for extremely large mass ratio inspirals
• Gravitational Wave Signatures of Quasi-Periodic Eruptions: LISA Detection Prospects for RX J1301.9+2747
• MatBYIB: A Matlab-based code for Bayesian inference of extreme mass-ratio inspiral binary with arbitrary eccentricity