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

Abstract

We present a first complete implementation of an effective-one-body (EOB) model for extreme-mass-ratio inspirals (EMRIs) that incorporates aligned spins (on both the primary and the secondary) as well as orbital eccentricity. The model extends TEOBResumS-Dalí for these binaries by (i) recasting conservative first-order gravitational self-force (1GSF) information in the resummed EOB potentials; (ii) employing a post-Newtonian (PN) $3^{+19}$PN-accurate (3PN comparable-mass terms hybridized with test-particle terms up to 22PN relative order) expression for the gravitational-wave flux at infinity; (iii) using an improved implementation of the horizon flux that better approximates its test-mass representation. With respect to our previous work [Phys. Rev. D 106 (2022) 8, 084062], we demonstrate that the inclusion of the $3^{+19}$PN-accurate $\ell =9$ and $\ell =10$ modes in the flux at infinity significantly improves the model's agreement with second-order accurate GSF (2GSF) circular waveforms. For a standard EMRI with mass ratio $q\equiv m_1/m_2=5\times 10^4$ and $m_2=10M_{\odot }$, the accumulated EOB/2GSF dephasing is $\lesssim$ rad for $\sim 1$ yr of evolution, which is consistent with the standard accuracy requirements for EMRIs. We also showcase the generation of eccentric and spinning waveforms and discuss future extensions of our EOB towards a physically complete model for EMRIs.

9 pages, 6 figures

References in corpus (45)

• Effective one-body approach to general relativistic two-body dynamics
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Transition from inspiral to plunge in binary black hole coalescences
• Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
• Coalescence of Two Spinning Black Holes: An Effective One-Body Approach
• On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
• Self-force and radiation reaction in general relativity
• Prospects for Fundamental Physics with LISA
• Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
• PyCBC Inference: A Python-based parameter estimation toolkit for compact binary coalescence signals
• Improved resummation of post-Newtonian multipolar waveforms from circularized compact binaries
• Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
• FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis
• Gravitational Self Force in a Schwarzschild Background and the Effective One Body Formalism
• Fourth post-Newtonian effective one-body dynamics
• Improved effective-one-body description of coalescing nonspinning black-hole binaries and its numerical-relativity completion
• A faithful analytical effective one body waveform model for spin-aligned, moderately eccentric, coalescing black hole binaries
• Gravitational Recoil during Binary Black Hole Coalescence using the Effective One Body Approach
• Novel approach to binary dynamics: application to the fifth post-Newtonian level
• Gravitational waveforms for compact binaries from second-order self-force theory
• A multipolar effective one body waveform model for spin-aligned black hole binaries
• Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity
• Effective one body multipolar waveform model for spin-aligned, quasi-circular, eccentric, hyperbolic black hole binaries
• Sixth post-Newtonian local-in-time dynamics of binary systems
• Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
• Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
• Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
• Reduced-order modeling with artificial neurons for gravitational-wave inference
• Enhancing the SEOBNRv5 effective-one-body waveform model with second-order gravitational self-force fluxes
• Rush the inspiral: efficient Effective One Body time-domain gravitational waveforms
• Comparing second-order gravitational self-force, numerical relativity and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries
• Modeling the horizon-absorbed gravitational flux for equatorial-circular orbits in Kerr spacetime
• Machine Learning Gravitational Waves from Binary Black Hole Mergers
• Exploring the small mass ratio binary black hole merger via Zeno's dichotomy approach
• Quasi-circular inspirals and plunges from non-spinning effective-one-body Hamiltonians with gravitational self-force information
• 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
• Inferring eccentricity evolution from observations of coalescing binary black holes
• Towards a gravitational self force-informed effective-one-body waveform model for nonprecessing, eccentric, large-mass-ratio inspirals
• $\mathtt{bajes}$: Bayesian inference of multimessenger astrophysical data, methods and application to gravitational-waves
• iResum: a new paradigm for resumming gravitational wave amplitudes
• Comparing Effective One Body Hamiltonians for spin-aligned coalescing binaries
• Factorization and resummation: A new paradigm to improve gravitational wave amplitudes. II: the higher multipolar modes
• Combining effective-one-body accuracy and reduced-order-quadrature speed for binary neutron star merger parameter estimation with machine learning
• Numerical-relativity validation of effective-one-body waveforms in the intermediate-mass-ratio regime
• Adapted gauge to small mass ratio binary black hole evolutions

Cited by in corpus (18)

• The Science of the Einstein Telescope
• Gravitational Wave Astronomy With TianQin
• ESIGMAHM: An Eccentric, Spinning inspiral-merger-ringdown waveform model with Higher Modes for the detection and characterization of binary black holes
• Analytic solutions for the motion of spinning particles near spherically symmetric black holes and exotic compact objects
• Scattering and dynamical capture of two black holes: synergies between numerical and analytical methods
• Extreme mass ratio inspirals in rotating dark matter spikes
• Mapping eccentricity evolutions between numerical relativity and effective-one-body gravitational waveforms
• Improved inspiral-merger-ringdown model for BBHs on elliptical orbits
• Circular equatorial orbits of extended bodies with spin-induced quadrupole around a Kerr black hole: Comparing spin-supplementary conditions
• Relativistic model of binary extreme-mass-ratio inspiral systems and their gravitational radiation
• Peaking into the abyss: Characterizing the merger of equatorial-eccentric-geodesic plunges in rotating black holes
• EMRI_MC: A GPU-based Python code for Bayesian inference of EMRI waveforms
• Symplectic mechanics of relativistic spinning compact bodies II.: Canonical formalism in the Schwarzschild spacetime
• Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
• Biased parameter inference of eccentric, spin-precessing binary black holes
• Analytical model of precessing binaries using post-Newtonian theory in the extreme mass-ratio limit I: General Formalism
• Advancing the Effective-One-Body Framework in the Test-Mass Limit
• Secular evolution of orbital parameters for general bound orbits in Kerr spacetime