Complete waveform model for compact binaries on eccentric orbits

Abstract

We present a time domain waveform model that describes the inspiral-merger-ringdown (IMR) of compact binary systems whose components are non-spinning, and which evolve on orbits with low to moderate eccentricity. The inspiral evolution is described using third order post-Newtonian equations both for the equations of motion of the binary, and its far-zone radiation field. This latter component also includes instantaneous, tails and tails-of-tails contributions, and a contribution due to non-linear memory. This framework reduces to the post-Newtonian approximant TaylorT4 at third post-Newtonian order in the zero eccentricity limit. To improve phase accuracy, we incorporate higher-order post-Newtonian corrections for the energy flux of quasi-circular binaries and gravitational self-force corrections to the binding energy of compact binaries. This enhanced inspiral evolution prescription is combined with an analytical prescription for the merger-ringdown evolution using a catalog of numerical relativity simulations. This IMR waveform model reproduces effective-one-body waveforms for systems with mass-ratios between 1 to 15 in the zero eccentricity limit. Using a set of eccentric numerical relativity simulations, not used during calibration, we show that our eccentric model accurately reproduces the features of eccentric compact binary coalescence throughout the merger. Using this model we show that the gravitational wave transients GW150914 and GW151226 can be effectively recovered with template banks of quasi-circular, spin-aligned waveforms if the eccentricity $e_0$ of these systems when they enter the aLIGO band at a gravitational wave frequency of 14 Hz satisfies $e_0^{GW150914}\le 0.15$ and $e_0^{GW151226}\le 0.1$.

31 pages, 19 figures, 3 appendices. Submitted to Phys Rev D. v2: direct comparison to eccentric numerical relativity simulations, not used for calibration of the model, included. References added. Accepted to Phys Rev D

References in corpus (24)

• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• Coherent method for detection of gravitational wave bursts
• Accurate and efficient waveforms for compact binaries on eccentric orbits
• Gravitational-wave phasing for low-eccentricity inspiralling compact binaries to 3PN order
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Circularization and Final Spin in Eccentric Binary Black Hole Inspirals
• Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
• Localization of gravitational wave sources with networks of advanced detectors
• Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
• Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits
• Observing complete gravitational wave signals from dynamical capture binaries
• The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
• A practical, covariant puncture for second-order self-force calculations
• Third post-Newtonian gravitational waveforms for compact binary systems in general orbits: Instantaneous terms
• Dynamical Capture Binary Neutron Star Mergers
• Comparison Between Self-Force and Post-Newtonian Dynamics: Beyond Circular Orbits
• Second-order gravitational self-force
• Detecting gravitational waves from highly eccentric compact binaries
• The detectability of eccentric compact binary coalescences with advanced gravitational-wave detectors
• A conservative effect of the second-order gravitational self-force on quasicircular orbits in Schwarzschild spacetime
• Intermediate-mass-ratio-inspirals in the Einstein Telescope: I. Signal-to-noise ratio calculations
• Inspiral of Generic Black Hole Binaries: Spin, Precession, and Eccentricity
• Detecting compact binary coalescences with seedless clustering
• Accurate modeling of intermediate-mass-ratio inspirals: Exploring the form of the self-force in the intermediate-mass-ratio regime

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• Solving post-Newtonian accurate Kepler Equation
• Gravitational wave source localization for eccentric binary coalesce with a ground-based detector network
• BOSS-LDG: A Novel Computational Framework that Brings Together Blue Waters, Open Science Grid, Shifter and the LIGO Data Grid to Accelerate Gravitational Wave Discovery