LISA Capture Sources: Approximate Waveforms, Signal-to-Noise Ratios, and Parameter Estimation Accuracy

Abstract

Captures of stellar-mass compact objects (COs) by massive ($\sim 10^6{M}_{\odot }$) black holes (MBHs) are potentially an important source for LISA, the proposed space-based gravitational-wave (GW) detector. The orbits of the inspiraling COs are highly complicated; they can remain rather eccentric up until the final plunge, and display extreme versions of relativistic perihelion precession and Lense-Thirring precession of the orbital plane. The strongest capture signals will be ~10 times weaker than LISA's instrumental noise, but in principle (with sufficient computing power) they can be disentangled from the noise by matched filtering. The associated template waveforms are not yet in hand, but theorists will very likely be able to provide them before LISA launches. Here we introduce a family of approximate (post-Newtonian) capture waveforms, given in (nearly) analytic form, for use in advancing LISA studies until more accurate versions are available. Our model waveforms include most of the key qualitative features of true waveforms, and cover the full space of capture-event parameters (including orbital eccentricity and the MBH's spin). Here we use our approximate waveforms to (i) estimate the relative contributions of different harmonics (of the orbital frequency) to the total signal-to-noise ratio, and (ii) estimate the accuracy with which LISA will be able to extract the physical parameters of the capture event from the measured waveform. For a typical source (a $10M_{\odot }$ CO captured by a $10^6{M}_{\odot }$ MBH at a signal-to-noise ratio of 30), we find that LISA can determine the MBH and CO masses to within a fractional error of $\sim 10^{-4}$, measure $S/M^2$ (where $S$ and $M$ are the MBH's mass and spin) to within $\sim 10^{-4}$, and determine the sky location of the source to within $\sim 10^{-3}$ stradians.

34 pages, 27 eps figures; corrected factor 3/4 error in some formulae for S_h

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• Fundamental Physics and Cosmology with TianQin
• Self-forced evolutions of an implicit rotating source: A natural framework to model comparable and intermediate mass-ratio systems from inspiral through ringdown
• An investigation of uniform expansions of large order Bessel functions in Gravitational Wave Signals from Pulsars
• Intermediate-mass ratio inspirals in merging elliptical galaxies
• Prospects for detecting neutron star-white dwarf mergers with decihertz gravitational-wave observatories
• Gravitational Burst Radiation from Pulsars in the Galactic centre and stellar clusters
• Motion of small bodies in general relativity: foundations and implementations of the self-force
• Eccentricity distribution of extreme mass ratio inspirals
• Gravitational wave fluxes on generic orbits in near-extreme Kerr spacetime: higher spin and large eccentricity
• Discovering neutron stars with LISA via measurements of orbital eccentricity in Galactic binaries
• Fast prediction and evaluation of eccentric inspirals using reduced-order models
• Astrophysics with the Laser Interferometer Space Antenna
• Measuring mass transfer of AM CVn binaries with a space-based gravitational wave detector
• Post-Keplerian waveform model for binary compact object as sources of space-based gravitational wave detector and its implications
• Probing the Spin-Induced Quadrupole Moment of Massive Black Holes with the Inspiral of Binary Black Holes
• Gravitational odd-parity perturbation of a Horndeski hairy black hole: quasinormal mode and parameter constraint
• Extended mass distribution of PBHs during QCD phase transition: SGWB and mini-EMRIs
• Gravitational Wave Signatures from Periodic Orbits around a non-commutative inspired black hole surrounded by quintessence
• Assessing the systematic errors of extreme-mass-ratio inspirals waveforms for testing general relativity
• Imprints of extra dimensions in eccentric extreme-mass-ratio inspirals gravitational waveforms
• Cumulative effect of orbital resonances in extreme-mass-ratio inspirals
• Testing dispersion of gravitational waves from eccentric extreme-mass-ratio inspirals
• Probing AGN jet precession with LISA
• A Study of Elliptical Last Stable Orbits About a Massive Kerr Black Hole
• Periastron precession effect of $f$-mode dynamical tides on gravitational waves from eccentric double white dwarfs
• Exploring Dark Forces with Multimessenger Studies of Extreme Mass Ratio Inspirals
• Observable Signatures of EMRI Black Hole Binaries Embedded in Thin Accretion Disks
• Extreme Mass-Ratio Binary Black Hole Merger: Characteristics of the Test-Particle Limit
• Orbital evolution of a test particle around a black hole: Indirect determination of the self force in the post Newtonian approximation
• Probing Kalb-Ramond field with extreme mass ratio inspirals
• Dissecting the nanohertz gravitational wave sky: Frequency-correlated anisotropy induced by eccentric supermassive black hole binaries
• Spherical inspirals of spinning bodies into Kerr black holes
• Likelihood smoothing using gravitational wave surrogate models
• The GWs from the S-stars revolving around the SMBH at Sgr A*
• Gravitational wave science with laser interferometers and pulsar timing
• Gravitational waves from an eccentric population of primordial black holes orbiting Sgr A${}^{\star }$
• The Carter Constant for Inclined Orbits About a Massive Kerr Black Hole: I. circular orbits
• Constraints on ultra-low-frequency gravitational waves from an eccentric supermassive black hole binary
• Gravitomagnetic corrections on gravitational waves
• Probing Fundamental Physics with Gravitational Waves
• Impact of mass transfer on the orbital evolution of a white dwarf close to an intermediate-mass black hole
• Extreme mass-ratio inspirals and extra dimensions: Insights from modified Teukolsky framework
• Distinguishing dark matter halos with Extreme mass ratio inspirals
• Augmented analytic kludge waveform with quadrupole moment correction
• Probing the Growth of Massive Black Holes with Black Hole-Host Galaxy Spin Correlations
• The Analysis of Large Order Bessel Functions in Gravitational Wave Signals from Pulsars
• Constraining the Deviation of Kerr Metric via Bumpy Parameterization and Particle Swarm Optimization in Extreme Mass-Ratio Inspirals
• Space-based Gravitational Wave Observatories
• Constraints on the Scale Parameter of Regular Black Hole in Asymptotically Safe Gravity from Extreme Mass Ratio Inspirals
• Addressing LISA Science Analysis Challenges
• SgrA* spin and mass estimates through the detection of multiple extremely large mass-ratio inspirals
• Sparse Representation of Gravitational Sound
• Modelling the post-Newtonian test-mass gravitational wave flux function for compact binary systems using Chebyshev polynomials
• The Carter Constant for Inclined Orbits About a Massive Kerr Black Hole: near-circular, near-polar orbits
• Taxonomy of periodic orbits and gravitational waves in a non-rotating Destounis-Suvorov-Kokkotas black hole spacetime
• Detecting milli-Hz gravitational waves with optical resonators
• Equatorial orbits and imaging of hairy cubic Galileon black holes
• Evolution of massive black holes
• Detection prospects for the GW background of Galactic (sub)solar mass primordial black holes
• Periodic Orbits and Gravitational Wave Radiation of Black Hole in EGB gravity
• Gravitational Wave Peep Contributions to Background Signal Confusion Noise for LISA
• Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity
• Revealing massive black hole astrophysics: The potential of hierarchical inference with extreme mass-ratio inspiral observations
• Periodic orbits and gravitational waveforms of black holes in bumblebee gravity
• Estimating High-Order Time Derivatives of Kerr Orbital Functionals
• Gravitational waves from equatorially eccentric extreme mass ratio inspirals around swirling Kerr black holes
• The scientific potential of space-based gravitational wave detectors
• Measurement of the central Galactic black hole by extremely large mass-ratio inspirals
• A Robust Test of General Relativity in Space
• Revised event rates for extreme and extremely large mass-ratio inspirals
• Post-Newtonian properties of EMRI with Power Law Potential
• Shadow constraints of charged black hole with scalar hair and gravitational waves from extreme mass ratio inspirals
• Gravitational Radiation from Neutron Stars and Black Holes
• MatBYIB: A Matlab-based code for Bayesian inference of extreme mass-ratio inspiral binary with arbitrary eccentricity
• Constructing a gravitational wave analysis pipeline for extremely large mass ratio inspirals
• Extreme mass-ratio inspirals as probes of scalar fields: eccentric equatorial orbits around Kerr black holes
• Capability for detection of GW190521-like binary black holes with TianQin
• Gravitational Wave Signatures of Quasi-Periodic Eruptions: LISA Detection Prospects for RX J1301.9+2747
• Parameter estimation for space-based gravitational wave detectors with ringdown signals
• Chirping compact stars: gravitational radiation and detection degeneracy with binary systems A conceptual pathfinder for space-based gravitational-wave observatories
• When vacuum breaks: a self-consistency test for astrophysical environments in extreme mass ratio inspirals
• Assessing the performance of future space-based detectors: Astrophysical foregrounds and individual sources
• Particles with precessing spin in Kerr spacetime: analytic solutions for eccentric orbits and homoclinic motion near the equatorial plane
• Extreme Mass Ratio Inspirals triggered by Massive Black Hole Binaries: from Relativistic Dynamics to Cosmological Rates
• Searching for gravitational waves emitted by binaries with spinning components
• Performing a theoretically robust Ryan test using intermediate-mass black holes
• Understanding the importance of transient resonances in extreme mass ratio inspirals