Asymptotic gravitational-wave fluxes from a spinning test body on generic orbits around a Kerr black hole

This work provides gravitational-wave energy and angular momentum asymptotic fluxes from a spinning body moving on generic orbits in a Kerr spacetime up to the linear-in-spin approximation. To achieve this, we have developed a new frequency-domain Teukolsky equation solver that calculates asymptotic amplitudes from generic orbits of spinning bodies with their spin aligned with the total orbital angular momentum. However, the energy and angular momentum fluxes from these orbits in the linear-in-spin approximation are appropriate for adiabatic models of extreme-mass-ratio inspirals even for spins nonaligned to the orbital angular momentum. To check the newly obtained fluxes, they are compared with already known frequency-domain results for equatorial orbits and with results from a time-domain Teukolsky equation solver called Teukode for off-equatorial orbits. The spinning-body framework of our work is based on the Mathisson-Papapetrou-Dixon equations under the Tulczyjew-Dixon spin supplementary condition.

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