Effective-One-Body Numerical-Relativity waveform model for Eccentric spin-precessing binary black hole coalescence

Abstract

Waveform models are important to gravitational wave data analysis. People recently pay much attention to the waveform model construction for eccentric binary black hole coalescence. Several Effective-One-Body Numerical-Relativity waveform models of eccentric binary black hole coalescence have been constructed. But none of them can treat orbit eccentricity and spin-precessing simultaneously. The current paper focuses on this problem. The authors previously have constructed waveform model for spin-aligned eccentric binary black hole coalescence $\text{SEOBNRE}$. Here we extend such waveform model to describe eccentric spin-precessing binary black hole coalescence. We calculate the 2PN orbital radiation-reaction forces and the instantaneous part of the decomposed waveform for a general spinning precessing binary black hole system in effective-one-body (EOB) coordinates. We implement these results based on our previous $\text{SEOBNRE}$ waveform model. We have also compared our model waveforms to both SXS and RIT numerical relativity waveforms. We find good consistency between our model and numerical relativity. Based on our new waveform model, we analyze the impact of the non-perpendicular spin contributions on waveform accuracy. We find that the non-perpendicular spin contributions primarily affect the phase of the gravitational waveforms. For the current gravitational wave detectors, this contribution is not significant. The future detectors may be affected by such non perpendicular spin contributions. More importantly our $\text{SEOBNRE}$ waveform model, as the first theoretical waveform model to describe eccentric spin-precessing binary black hole coalescence, can help people to analyze orbit eccentricity and spin precession simultaneously for gravitational wave detection data.

19 pages,12 figures

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• Improved post-Newtonian waveform model for inspiralling precessing-eccentric compact binaries
• Third post-Newtonian dynamics for eccentric orbits and aligned spins in the effective-one-body waveform model SEOBNRv5EHM
• Systematic biases due to waveform mismodeling in parametrized post-Einsteinian tests of general relativity: The impact of neglecting spin precession and higher modes
• Orbital eccentricity in general relativity from catastrophe theory
• Adding higher-order spherical harmonics in non-spinning eccentric binary black hole merger waveform models
• 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
• Universal phenomenological relations between spherical harmonic modes in non-precessing eccentric binary black hole merger waveforms
• False positives for gravitational lensing: the gravitational-wave perspective
• Post-Newtonian theory-inspired framework for characterizing eccentricity in gravitational waveforms
• Data-driven extraction, phenomenology and modeling of eccentric harmonics in binary black hole merger waveforms
• Biased parameter inference of eccentric, spin-precessing binary black holes
• Compact Binary Coalescence Gravitational Wave Signals Counting and Separation
• Gravitational waves from eccentric binary neutron star mergers: Systematic biases and inadequacy of quasicircular templates
• Effect of kick velocity on gravitational wave detection of binary black holes with space- and ground-based detectors
• General Fourier expansion of post-Newtonian binary dynamics based on a quasi-Keplerian framework
• Search for planetary-mass ultra-compact binaries using data from the first part of the LIGO--Virgo--KAGRA fourth observing run