Testing eccentric corrections to the radiation-reaction force in the test-mass limit of effective-one-body models

Abstract

In this work, we test an effective-one-body radiation-reaction force for eccentric planar orbits of a test mass in a Kerr background, which contains third-order post-Newtonian (PN) non-spinning and second-order PN spin contributions. We compare the analytical fluxes connected to two different resummations of this force, truncated at different PN orders in the eccentric sector, with the numerical fluxes computed through the use of frequency- and time-domain Teukolsky-equation codes. We find that the different PN truncations of the radiation-reaction force show the expected scaling in the weak gravitational-field regime, and we observe a fractional difference with the numerical fluxes that is $<5\%$, for orbits characterized by eccentricity $0\le e\le 0.7$, central black-hole spin $-0.99M\le a\le 0.99M$ and fixed orbital-averaged quantity $x=⟨M\Omega {⟩}^{2/3}=0.06$, corresponding to the mildly strong-field regime with semilatera recta $9M<p<17M$. Our analysis provides useful information for the development of spin-aligned eccentric models in the comparable-mass case.

27 pages, 7 figures

References in corpus (65)

• 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
• 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
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• Sensitivity Studies for Third-Generation Gravitational Wave Observatories
• Transition from inspiral to plunge in binary black hole coalescences
• Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
• Black hole mergers in the universe
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• Production of Intermediate-Mass Black Holes in Globular Clusters
• Effective-one-body model for black-hole binaries with generic mass ratios and spins
• The SXS Collaboration catalog of binary black hole simulations
• Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism
• The Formation of Eccentric Compact Binary Inspirals and the Role of Gravitational Wave Emission in Binary-Single Stellar Encounters
• Multipolar Effective-One-Body Waveforms for Precessing Binary Black Holes: Construction and Validation
• The evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission
• 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
• Improved resummation of post-Newtonian multipolar waveforms from circularized compact binaries
• Gravitational wave snapshots of generic extreme mass ratio inspirals
• Enriching the Symphony of Gravitational Waves from Binary Black Holes by Tuning Higher Harmonics
• Eccentric Black Hole Mergers in Dense Star Clusters: The Role of Binary-Binary Encounters
• 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
• Compact Binary Coalescences in the Band of Ground-based Gravitational-Wave Detectors
• Black hole mergers from an evolving population of globular clusters
• A waveform model for eccentric binary black hole based on effective-one-body-numerical-relativity (EOBNR) formalism
• Comparing Effective-One-Body gravitational waveforms to accurate numerical data
• A faithful analytical effective one body waveform model for spin-aligned, moderately eccentric, coalescing black hole binaries
• Laying the foundation of the effective-one-body waveform models SEOBNRv5: improved accuracy and efficiency for spinning non-precessing binary black holes
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
• Post-Newtonian factorized multipolar waveforms for spinning, non-precessing black-hole binaries
• A multipolar effective one body waveform model for spin-aligned black hole binaries
• Searching for Eccentricity: Signatures of Dynamical Formation in the First Gravitational-Wave Transient Catalogue of LIGO and Virgo
• GW190521 as a dynamical capture of two nonspinning black holes
• Effective one body multipolar waveform model for spin-aligned, quasi-circular, eccentric, hyperbolic black hole binaries
• Effective-one-body multipolar waveforms for eccentric binary black holes with non-precessing spins
• Gravitational radiation reaction along general orbits in the effective one-body formalism
• Third post-Newtonian angular momentum flux and the secular evolution of orbital elements for inspiralling compact binaries in quasi-elliptical orbits
• Towards adiabatic waveforms for inspiral into Kerr black holes: I. A new model of the source for the time domain perturbation equation
• Redshift Evolution of the Black Hole Merger Rate from Globular Clusters
• Binary black hole merger in the extreme mass ratio limit
• Four eccentric mergers increase the evidence that LIGO--Virgo--KAGRA's binary black holes form dynamically
• Foundations of an effective-one-body model for coalescing binaries on eccentric orbits
• Prospects for observing extreme-mass-ratio inspirals with LISA
• Towards adiabatic waveforms for inspiral into Kerr black holes: II. Dynamical sources and generic orbits
• Validating the Effective-One-Body Numerical-Relativity Waveform Models for Spin-aligned Binary Black Holes along Eccentric Orbits
• Metric perturbations produced by eccentric equatorial orbits around a Kerr black hole
• Modeling multipolar gravitational-wave emission from small mass-ratio mergers
• Radiation-reaction force and multipolar waveforms for eccentric, spin-aligned binaries in the effective-one-body formalism
• Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms
• Rush the inspiral: efficient Effective One Body time-domain gravitational waveforms
• Effective one-body model for extreme-mass-ratio spinning binaries on eccentric equatorial orbits: testing radiation reaction and waveform
• Modeling the horizon-absorbed gravitational flux for equatorial-circular orbits in Kerr spacetime
• 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
• Towards a gravitational self force-informed effective-one-body waveform model for nonprecessing, eccentric, large-mass-ratio inspirals
• A Rosetta Stone for eccentric gravitational waveform models
• Self-force correction to the deflection angle in black-hole scattering: a scalar charge toy model
• Upgraded waveform model of eccentric binary black hole based on effective-one-body-numerical-relativity for spin-aligned binary black holes
• Gravitational-wave inference for eccentric binaries: the argument of periapsis
• 2.5PN accurate waveform information for generic-planar-orbit binaries in effective one-body models
• Do floating orbits in extreme mass ratio binary black holes exist?

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