Abstract
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 Ψ4 in the effective spacetime,we utilize the method pro-posed 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 a2 and a3 in the effective metric.
基金项目
National Natural Science Foundation of China(12035005)
National Key Research and Development Program of China(2020YFC2201400)
维普
万方数据