  We present a study on the energy radiation rate and waveforms of the
gravitational wave generated by coalescing spinless binary systems up to the
third post-Minkowskian approximation in the effective one-body theory. To
derive an analytical expansion of the null tetrad components of the
gravitational perturbed Weyl tensor $\varPsi_{4}$ in the effective spacetime,
we utilize the method proposed by Sasaki $et$ $al.$ During this investigation,
we discover more general integral formulas that provide a theoretical framework
for computing the results in any order. Subsequently, we successfully compute
the energy radiation rate and waveforms of the gravitational wave, which
include the results of the Schwarzschild case and the correction terms
resulting from the dimensionless parameters $a_{2}$ and $a_{3}$ in the
effective metric.
