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Gravitational radiation-reaction phenomena occurring in the dynamics ofinspiralling compact binary systems are investigated at the firstpost-Newtonian order beyond the quadrupole approximation in the context ofEinstein-Cartan theory, where quantum spin effects are modeled via theWeyssenhoff fluid. We exploit balance equations for the energy and angularmomentum to determine the binary orbital decay until the two bodies collide.Our framework deals with both quasi-elliptic and quasi-circular trajectories,which are then smoothly connected. Key observables like the laws of variationof the orbital phase and frequency characterizing the quasi-circular motion arederived analytically. We conclude our analysis with an estimation of the spincontributions at the merger, which are examined both in the time domain and theFourier frequency space through the stationary wave approximation.

Radiative losses and radiation-reaction effects at the first post-Newtonian order in Einstein-Cartan theory