Waveform model for an eccentric binary black hole based on the effective-one-body-numerical-relativity formalism

Abstract

Binary black hole systems are among the most important sources for gravitational wave detection. And also they are good objects for theoretical research for general relativity. Gravitational waveform template is important to data analysis. Effective-one-body-numerical-relativity (EOBNR) model has played an essential role in the LIGO data analysis. For future space-based gravitational wave detection, many binary systems will admit somewhat orbit eccentricity. At the same time the eccentric binary is also an interesting topic for theoretical study in general relativity. In this paper we construct the first eccentric binary waveform model based on effective-one-body-numerical-relativity framework. Our basic assumption in the model construction is that the involved eccentricity is small. We have compared our eccentric EOBNR model to the circular one used in LIGO data analysis. We have also tested our eccentric EOBNR model against to another recently proposed eccentric binary waveform model; against to numerical relativity simulation results; and against to perturbation approximation results for extreme mass ratio binary systems. Compared to numerical relativity simulations with eccentricity as large as about 0.2, the overlap factor for our eccentric EOBNR model is better than 0.98 for all tested cases including spinless binary and spinning binary; equal mass binary and unequal mass binary. Hopefully our eccentric model can be the start point to develop a faithful template for future space-based gravitational wave detectors.

Gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order: Memory contributions

“…The third timescale appears when the dissipative radiation-reaction effects are taken into account [35,36]. Applying this description of the binary, several waveform models have been built [18,[37][38][39][40][41][42][43][44][45][46]. In general, the far zone gravitational radiation field receives instantaneous and hereditary contributions.…”

Searching for eccentricity: signatures of dynamical formation in the first gravitational-wave transient catalogue of LIGO and Virgo

“…The underlying turquoise distributions are the posterior probabilities recovered using quasicircular waveform model IMRPhenomD(Khan et al 2016). The grey distributions are those obtained through reweighting with eccentric waveform model SEOBNRE(Cao & Han 2017). The pink lines indicate the true parameters of the injected SEOBNRE waveform.…”

Gravitational wave source localization for eccentric binary coalesce with a ground-based detector network

“…Recently, there are several waveform models for an eccentric binary have been constructed [30][31][32][33][34][35]. In particular, the enhanced post-circular (EPC) model [32,36] is one of such models.…”