Self-consistent effective-one-body theory for spinning binaries based on post-Minkowskian approximation

This study extends the research on self-consistent effective-one-body theory of a real spinless two-body system based post-Minkowskian approximation (Sci. China-Phys. Mech. Astron. 65, 100411 (2022)) to case binary for spinning black holes. An effective rotating metric and an improved Hamiltonian hole binaries are constructed. The decoupled equation null tetrad component gravitational perturbed Weyl tensor ψ 4 in spacetime is found with help gauge transform characteristics tensors. then separated between radial angular variables slowly background spacetime, formal solution obtained. On this basis, expressions radiation reaction force waveform “plus” “cross” modes wave presented. These results, obtained same constitute approximation.