A waveform model for eccentric binary black hole based on effective-one-body-numerical-relativity (EOBNR) formalism

TL;DR

This paper introduces the first eccentric binary black hole waveform model based on the EOBNR framework, crucial for future gravitational wave detection and theoretical studies, demonstrating high accuracy against simulations.

Contribution

The paper develops a novel eccentric EOBNR waveform model that extends existing models to include small eccentricities, validated against multiple benchmarks.

Findings

Overlap factor exceeds 0.98 for tested cases

Model performs well for eccentricities up to 0.2

Applicable to both spinless and spinning binaries

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.