Reconstruction of gravitational waveforms of coalescing spinless binaries in EOB theory based on PM approximation

Abstract We present a study of improving the gravitational waveforms of the coalescing spinless binaries in effective-one-body theory based on the post-Minkowskian approximation. The original ‘plus’ and ‘cross’ waveform modes of the gravitational wave generated by coalescing spinless black-hole binaries are extracted from the solution of the null tetrad component of the gravitational perturbed Weyl tensor ψ4B in the effective spacetime. To enhance the accuracy of the gravitational waveforms, after Damour et al , the waveforms are factored into five components which are the Minkowskian leading factor hℓmM,ϵ , the source Sˆeff ϵ , the tail effect Tℓm , the phase factor eiδℓm , and the residual term fℓm . In the equal mass ratio case, we find that the reconstructed waveform is closer to the five post-Newtonian result than the original waveform, while the ρℓmf resummation method gives the better results.