Analytical model of precessing binaries using post-Newtonian theory in the extreme mass-ratio limit I: General Formalism
arXiv:2402.08883 · doi:10.1103/PhysRevD.110.024006
Abstract
We develop a fully analytical waveform model for precessing binaries with arbitrary spin vectors using post-Newtonian~(PN) theory in the extreme mass-ratio limit and a hierarchical multi-scale analysis. The analytical model incorporates leading PN order spin precession dynamics from spin-orbit, spin-spin, and quadrupole-monopole couplings, and 2PN order dissipative dynamics truncated to first order in the mass ratio . Due to the pure analytic nature of the model, the framework developed herein can readily be extended to both higher PN and higher- order. Although the PN series is asymptotic to this limit, our results can be used to estimate how precession affects the measurability of certain binary parameters, and to inform and compare with other waveform approximants, such as effective-one-body models, hybrid waveforms, and self-force calculations.
arXiv comment29 pages, 10 figures, published version
References in corpus (81)
- GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
- Effective one-body approach to general relativistic two-body dynamics
- Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
- Prospects for Fundamental Physics with LISA
- Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
- New Horizons for Fundamental Physics with LISA
- A Comparison of search templates for gravitational waves from binary inspiral
- Transition from inspiral to plunge in precessing binaries of spinning black holes
- Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes
- Renormalization Group Theory for Global Asymptotic Analysis
- Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
- Into the lair: gravitational-wave signatures of dark matter
- Phenomenological model for the gravitational-wave signal from precessing binary black holes with two-spin effects
- FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis
- Constructing Gravitational Waves from Generic Spin-Precessing Compact Binary Inspirals
- Measuring coalescing massive binary black holes with gravitational waves: The impact of spin-induced precession
- Floating and sinking: the imprint of massive scalars around rotating black holes
- SEOBNRv5PHM: Next generation of accurate and efficient multipolar precessing-spin effective-one-body waveforms for binary black holes
- Gravitational Waves from Quasicircular Extreme Mass-Ratio Inspirals as Probes of Scalar-Tensor Theories
- Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis
- Gravitational waveforms for compact binaries from second-order self-force theory
- Second-order self-force calculation of the gravitational binding energy in compact binaries
- Detecting fundamental fields with LISA observations of gravitational waves from extreme mass-ratio inspirals
- Adiabatic waveforms for extreme mass-ratio inspirals via multivoice decomposition in time and frequency
- Multi-timescale analysis of phase transitions in precessing black-hole binaries
- Probing the existence of ultralight bosons with a single gravitational-wave measurement
- Effective potentials and morphological transitions for binary black-hole spin precession
- Gravitational-wave energy flux for compact binaries through second order in the mass ratio
- Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
- Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime
- Detecting scalar fields with Extreme Mass Ratio Inspirals
- Tidal heating as a discriminator for horizons in extreme mass ratio inspirals
- Lunar Gravitational-Wave Antenna
- Distinguishing fuzzballs from black holes through their multipolar structure
- Effective-one-body waveforms for precessing coalescing compact binaries with post-newtonian Twist
- Constraining alternative theories of gravity by gravitational waves from precessing eccentric compact binaries with LISA
- Gravitational waves from extreme mass-ratio inspirals in Dynamical Chern-Simons gravity
- Probing vector hair of black holes with extreme mass ratio inspirals
- A New Window into Black Holes
- Extreme Dark Matter Tests with Extreme Mass Ratio Inspirals
- Enhancing the SEOBNRv5 effective-one-body waveform model with second-order gravitational self-force fluxes
- Extreme mass-ratio inspirals into black holes surrounded by scalar clouds
- Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion
- Extreme mass-ratio inspirals around a spinning horizonless compact object
- Accuracy of the Post-Newtonian Approximation: Optimal Asymptotic Expansion for Quasi-Circular, Extreme-Mass Ratio Inspirals
- Probing the nature of central objects in extreme-mass-ratio inspirals with gravitational waves
- Self-Force Calculations with a Spinning Secondary
- Detecting massive scalar fields with Extreme Mass-Ratio Inspirals
- Gravitational-wave signatures of the absence of an event horizon. II. Extreme mass ratio inspirals in the spacetime of a thin-shell gravastar
- Hamilton-Jacobi equation for spinning particles near black holes
- Teukolsky formalism for nonlinear Kerr perturbations
- Assessing the detectability of the secondary spin in extreme mass-ratio inspirals with fully-relativistic numerical waveforms
- Probing planetary-mass primordial black holes with continuous gravitational waves
- Exotic compact objects with soft hair
- Love in Extrema Ratio
- Fast Frequency-domain Waveforms for Spin-Precessing Binary Inspirals
- Measuring parameters of massive black hole binaries with partially aligned spins
- Probing the Nature of Black Holes: Deep in the mHz Gravitational-Wave Sky
- 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
- Fast and Fourier: Extreme Mass Ratio Inspiral Waveforms in the Frequency Domain
- Importance of including small body spin effects in the modelling of extreme and intermediate mass-ratio inspirals
- Second-order gravitational self-force in a highly regular gauge
- Extreme-mass-ratio inspirals into rotating boson stars: nonintegrability, chaos, and transient resonances
- 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
- Gravitational perturbations of rotating black holes in Lorenz gauge
- 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
- Model independent tests of the Kerr bound with extreme mass ratio inspirals
- Detecting Subsolar-Mass Primordial Black Holes in Extreme Mass-Ratio Inspirals with LISA and Einstein Telescope
- Extreme Love in the SPA: constraining the tidal deformability of supermassive objects with extreme mass ratio inspirals and semi-analytical, frequency-domain waveforms
- Analytic solutions for the motion of spinning particles near spherically symmetric black holes and exotic compact objects
- Resonant self-force effects in extreme-mass-ratio binaries: A scalar model
- Importance of including small body spin effects in the modelling of intermediate mass-ratio inspirals. II Accurate parameter extraction of strong sources using higher-order spin effects
- Prospects of detecting deviations to Kerr geometry with radiation reaction effects in EMRIs
- Inspiralling compact objects with generic deformations
- Slow evolution of the metric perturbation due to a quasicircular inspiral into a Schwarzschild black hole
- Self-forced inspirals with spin-orbit precession
- New self-force method via elliptic partial differential equations for Kerr inspiral models
- Probing horizon scale quantum effects with Love
- Second-order gravitational self-force in a highly regular gauge: Covariant and coordinate punctures