Radiation-reaction force and multipolar waveforms for eccentric, spin-aligned binaries in the effective-one-body formalism

Abstract

While most binary inspirals are expected to have circularized before they enter the LIGO/Virgo frequency band, a small fraction of those binaries could have non-negligible orbital eccentricity depending on their formation channel. Hence, it is important to accurately model eccentricity effects in waveform models used to detect those binaries, infer their properties, and shed light on their astrophysical environment. We develop a multipolar effective-one-body (EOB) eccentric waveform model for compact binaries whose components have spins aligned or anti-aligned with the orbital angular momentum. The waveform model contains eccentricity effects in the radiation-reaction force and gravitational modes through second post-Newtonian (PN) order, including tail effects, and spin-orbit and spin-spin couplings. We recast the PN-expanded, eccentric radiation-reaction force and modes in factorized form so that the newly derived terms can be directly included in the state-of-the-art, quasi-circular--orbit EOB model currently used in LIGO/Virgo analyses (i.e., the SEOBNRv4HM model).

arXiv comment27 pages. v2: fixed typos, matches published version

References in corpus (120)

• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Effective one-body approach to general relativistic two-body dynamics
• Binary Black Hole Population Properties Inferred from the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
• Transition from inspiral to plunge in binary black hole coalescences
• Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects
• Coalescence of Two Spinning Black Holes: An Effective One-Body Approach
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
• Effective-one-body model for black-hole binaries with generic mass ratios and spins
• The SXS Collaboration catalog of binary black hole simulations
• Secular evolution of compact binaries near massive black holes: gravitational wave sources and other exotica
• Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism
• Systematic parameter errors in inspiraling neutron star binaries
• Higher-order spin effects in the amplitude and phase of gravitational waveforms emitted by inspiraling compact binaries: Ready-to-use gravitational waveforms
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• The Formation of Eccentric Compact Binary Inspirals and the Role of Gravitational Wave Emission in Binary-Single Stellar Encounters
• Effects of neutron-star dynamic tides on gravitational waveforms within the effective-one-body approach
• Multipolar Effective-One-Body Waveforms for Precessing Binary Black Holes: Construction and Validation
• Eccentric Black Hole Mergers Forming in Globular Clusters
• High-energy gravitational scattering and the general relativistic two-body problem
• Time-domain effective-one-body gravitational waveforms for coalescing compact binaries with nonprecessing spins, tides and self-spin effects
• GW190521: orbital eccentricity and signatures of dynamical formation in a binary black hole merger signal
• Effective One Body description of tidal effects in inspiralling compact binaries
• Transition from inspiral to plunge in precessing binaries of spinning black holes
• Improved resummation of post-Newtonian multipolar waveforms from circularized compact binaries
• Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
• Higher-order spin effects in the dynamics of compact binaries II. Radiation field
• Enriching the Symphony of Gravitational Waves from Binary Black Holes by Tuning Higher Harmonics
• Inspiral-merger-ringdown multipolar waveforms of nonspinning black-hole binaries using the effective-one-body formalism
• Eccentric Black Hole Mergers in Dense Star Clusters: The Role of Binary-Binary Encounters
• Prototype effective-one-body model for nonprecessing spinning inspiral-merger-ringdown waveforms
• The third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits
• Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
• Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
• Black hole mergers and blue stragglers from hierarchical triples formed in globular clusters
• Post-Newtonian Gravitational Radiation and Equations of Motion via Direct Integration of the Relaxed Einstein Equations. I. Foundations
• Third post-Newtonian accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits
• An improved effective-one-body Hamiltonian for spinning black-hole binaries
• Gravitational Self Force in a Schwarzschild Background and the Effective One Body Formalism
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• Post-Circular Expansion of Eccentric Binary Inspirals: Fourier-Domain Waveforms in the Stationary Phase Approximation
• Fourth post-Newtonian effective one-body dynamics
• A new effective-one-body description of coalescing nonprecessing spinning black-hole binaries
• Phasing of gravitational waves from inspiralling eccentric binaries
• Black Hole Mergers From Globular Clusters Observable by LISA I: Eccentric Sources Originating From Relativistic $N$-body Dynamics
• Hamiltonian of a spinning test-particle in curved spacetime
• A waveform model for eccentric binary black hole based on effective-one-body-numerical-relativity (EOBNR) formalism
• Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description
• Quadratic-in-spin effects in the orbital dynamics and gravitational-wave energy flux of compact binaries at the 3PN order
• Comparing Effective-One-Body gravitational waveforms to accurate numerical data
• Using Full Information When Computing Modes of Post-Newtonian Waveforms From Inspiralling Compact Binaries in Circular Orbit
• A faithful analytical effective one body waveform model for spin-aligned, moderately eccentric, coalescing black hole binaries
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Next-to-next-to-leading order spin-orbit effects in the gravitational wave flux and orbital phasing of compact binaries
• Distinguishing Between Formation Channels for Binary Black Holes with LISA
• Gravitational field and equations of motion of spinning compact binaries to 2.5 post-Newtonian order
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
• A multipolar effective one body waveform model for spin-aligned black hole binaries
• Post-Newtonian factorized multipolar waveforms for spinning, non-precessing black-hole binaries
• Self consistent model for the evolution of eccentric massive black hole binaries in stellar environments: implications for gravitational wave observations
• The complete non-spinning effective-one-body metric at linear order in the mass ratio
• Searching for Eccentricity: Signatures of Dynamical Formation in the First Gravitational-Wave Transient Catalogue of LIGO and Virgo
• Accurate and efficient waveforms for compact binaries on eccentric orbits
• Effective one body multipolar waveform model for spin-aligned, quasi-circular, eccentric, hyperbolic black hole binaries
• The third and a half post-Newtonian gravitational wave quadrupole mode for quasi-circular inspiralling compact binaries
• Gravitational radiation reaction along general orbits in the effective one-body formalism
• Gravitational self-force and the effective-one-body formalism between the innermost stable circular orbit and the light ring
• Third post-Newtonian angular momentum flux and the secular evolution of orbital elements for inspiralling compact binaries in quasi-elliptical orbits
• Gravitational-wave phasing for low-eccentricity inspiralling compact binaries to 3PN order
• An eccentric binary black hole inspiral-merger-ringdown gravitational waveform model from numerical relativity and post-Newtonian theory
• Complete waveform model for compact binaries on eccentric orbits
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Eccentric binary black hole surrogate models for the gravitational waveform and remnant properties: comparable mass, nonspinning case
• The Role of the Kozai-Lidov Mechanism in Black Hole Binary Mergers in Galactic Centers
• Circularization and Final Spin in Eccentric Binary Black Hole Inspirals
• Search for Eccentric Binary Black Hole Mergers with Advanced LIGO and Advanced Virgo during their First and Second Observing Runs
• On the Assembly Rate of Highly Eccentric Binary Black Hole Mergers
• Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. III. Radiation reaction for binary systems with spinning bodies
• Extending the effective-one-body Hamiltonian of black-hole binaries to include next-to-next-to-leading spin-orbit couplings
• Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
• ADM canonical formalism for gravitating spinning objects
• Frequency and time domain inspiral templates for comparable mass compact binaries in eccentric orbits
• Foundations of an effective-one-body model for coalescing binaries on eccentric orbits
• Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits
• Spin effects on gravitational waves from inspiraling compact binaries at second post-Newtonian order
• Extreme Mass-Ratio Inspirals in the Effective-One-Body Approach: Quasi-Circular, Equatorial Orbits around a Spinning Black Hole
• Computing inspirals in Kerr in the adiabatic regime. I. The scalar case
• Validating the Effective-One-Body Numerical-Relativity Waveform Models for Spin-aligned Binary Black Holes along Eccentric Orbits
• Effective one body Hamiltonian of two spinning black-holes with next-to-next-to-leading order spin-orbit coupling
• Eccentricity evolution of compact binaries and applications to gravitational-wave physics
• Second post-Newtonian gravitational wave polarizations for compact binaries in elliptical orbits
• A higher-multipole gravitational waveform model for an eccentric binary black holes based on the effective-one-body-numerical-relativity formalism
• Search for Eccentric Binary Neutron Star Mergers in the first and second observing runs of Advanced LIGO
• Second post-Newtonian gravitational radiation reaction for two-body systems: Nonspinning bodies
• Canonical Hamiltonian for an extended test body in curved spacetime: To quadratic order in spin
• High Eccentricities and High Masses Characterize Gravitational-wave Captures in Galactic Nuclei as Seen by Earth-based Detectors
• Fourier domain gravitational waveforms for precessing eccentric binaries
• Third post-Newtonian gravitational waveforms for compact binary systems in general orbits: Instantaneous terms
• A first survey of spinning eccentric black hole mergers: Numerical relativity simulations, hybrid waveforms, and parameter estimation
• Solving post-Newtonian accurate Kepler Equation
• Gravitational radiation from inspiralling compact objects: Spin-spin effects completed at the next-to-leading post-Newtonian order
• Radiation reaction for spinning bodies in effective field theory II: Spin-spin effects
• Eccentric double white dwarfs as LISA sources in globular clusters
• Gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order: Tail contributions and post-adiabatic corrections
• Quasi-circular inspirals and plunges from non-spinning effective-one-body Hamiltonians with gravitational self-force information
• Ready-to-use Fourier domain templates for compact binaries inspiraling along moderately eccentric orbits
• Physics of eccentric binary black hole mergers: A numerical relativity perspective
• Numerically generated quasi-equilibrium orbits of black holes: Circular or eccentric?
• Eccentric Gravitational Wave Bursts in the Post-Newtonian Formalism
• Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. IV. Radiation reaction for binary systems with spin-spin coupling
• Gravitomagnetic tidal effects in gravitational waves from neutron star binaries
• Hereditary Effects in Eccentric Compact Binary Inspirals to Third Post-Newtonian Order
• Fourth post-Newtonian effective-one-body Hamiltonians with generic spins
• A new effective-one-body Hamiltonian with next-to-leading order spin-spin coupling
• Application of energy and angular momentum balance to gravitational radiation reaction for binary systems with spin-orbit coupling
• Gravitational waves from spinning binary black holes at the leading post-Newtonian orders at all orders in spin
• Effective-one-body Hamiltonian with next-to-leading order spin-spin coupling for two nonprecessing black holes with aligned spins
• Characterization of numerical relativity waveforms of eccentric binary black hole mergers

Cited by in corpus (50)

• SEOBNRv5PHM: Next generation of accurate and efficient multipolar precessing-spin effective-one-body waveforms for binary black holes
• Laying the foundation of the effective-one-body waveform models SEOBNRv5: improved accuracy and efficiency for spinning non-precessing binary black holes
• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
• Effective-one-body multipolar waveforms for eccentric binary black holes with non-precessing spins
• Constraining the orbital eccentricity of inspiralling compact binary systems with Advanced LIGO
• The Science of the Einstein Telescope
• Observing intermediate-mass black holes and the upper--stellar-mass gap with LIGO and Virgo
• A higher-multipole gravitational waveform model for an eccentric binary black holes based on the effective-one-body-numerical-relativity formalism
• High Eccentricities and High Masses Characterize Gravitational-wave Captures in Galactic Nuclei as Seen by Earth-based Detectors
• Strong-field scattering of two black holes: Numerical Relativity meets Post-Minkowskian gravity
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Defining eccentricity for gravitational wave astronomy
• Accurate waveforms for eccentric, aligned-spin binary black holes: The multipolar effective-one-body model SEOBNRv5EHM
• The SXS Collaboration's third catalog of binary black hole simulations
• Faithful effective-one-body waveform of small-mass-ratio coalescing black hole binaries: the eccentric, nonspinning, case
• Inferring eccentricity evolution from observations of coalescing binary black holes
• New Avenue for Accurate Analytical Waveforms and Fluxes for Eccentric Compact Binaries
• Strong-field scattering of two spinning black holes: Numerics versus Analytics
• Spin effects in gravitational waveforms and fluxes for binaries on eccentric orbits to the third post-Newtonian order
• Evidence for eccentricity in the population of binary black holes observed by LIGO-Virgo-KAGRA
• Blind spots and biases: the dangers of ignoring eccentricity in gravitational-wave signals from binary black holes
• Improved post-Newtonian waveform model for inspiralling precessing-eccentric compact binaries
• Effective-One-Body Numerical-Relativity waveform model for Eccentric spin-precessing binary black hole coalescence
• ESIGMAHM: An Eccentric, Spinning inspiral-merger-ringdown waveform model with Higher Modes for the detection and characterization of binary black holes
• Upgraded waveform model of eccentric binary black hole based on effective-one-body-numerical-relativity for spin-aligned binary black holes
• Third post-Newtonian dynamics for eccentric orbits and aligned spins in the effective-one-body waveform model SEOBNRv5EHM
• Eccentric or circular? A reanalysis of binary black hole gravitational wave events for orbital eccentricity signatures
• Spin effects in Spherical Harmonic Modes of Gravitational Waves from Eccentric Compact Binary Inspirals
• Scattering and dynamical capture of two black holes: synergies between numerical and analytical methods
• Time-domain phenomenological multipolar waveforms for aligned-spin binary black holes in elliptical orbits
• Effective one body Hamiltonian in scalar-tensor gravity at third post-Newtonian order
• Adding higher-order spherical harmonics in non-spinning eccentric binary black hole merger waveform models
• 2.5PN accurate waveform information for generic-planar-orbit binaries in effective one-body models
• Phenomenological relationship between eccentric and quasi-circular orbital binary black hole waveform
• Defining eccentricity for spin-precessing binaries
• A geometric template bank for the detection of spinning low-mass compact binaries with moderate orbital eccentricity
• Mapping eccentricity evolutions between numerical relativity and effective-one-body gravitational waveforms
• Testing eccentric corrections to the radiation-reaction force in the test-mass limit of effective-one-body models
• Real modes and null memory contributions in effective-one-body models
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Peaking into the abyss: Characterizing the merger of equatorial-eccentric-geodesic plunges in rotating black holes
• Spin effects in the phasing formula of eccentric compact binary inspirals up to the third post-Newtonian order
• Modeling matter(s) in SEOBNRv5THM: Generating fast and accurate effective-one-body waveforms for spin-aligned binary neutron stars
• Modeling Gravitational Wave Modes from the Inspiral of Binaries with Arbitrary Eccentricity
• Analysis of late-time tails in spin-aligned eccentric binary black hole mergers
• Assessment of Effective-One-Body Radiation Reactions for Generic Planar Orbits
• The next generation: Impact of high-order analytical information on effective one body waveform models for noncircularized, spin-aligned black hole binaries
• Deep Residual Error and Bag-of-Tricks Learning for Gravitational Wave Surrogate Modeling
• Waveforms and fluxes: Towards a self-consistent effective one body waveform model for nonprecessing, coalescing black-hole binaries for third generation detectors
• Exploiting Newton-factorized, 2PN-accurate, waveform multipoles in effective-one-body models for spin-aligned noncircularized binaries