New Kludge scheme for the construction of approximate waveforms for extreme-mass-ratio inspirals

摘要: We introduce a new kludge scheme to model the dynamics of generic extreme mass-ratio inspirals (stellar compact objects spiraling into spinning supermassive black hole) and produce gravitational waveforms that describe gravitational-wave emission these systems. This combines tools from different techniques in General Relativity: It uses multipolar, post-Minkowskian (MPM) expansion for far-zone metric perturbation (which provides waveforms, here taken up mass hexadecapole current octopole order) local prescription self-force (since we are lacking general it); post-Newtonian computation multipole moments terms trajectories; BH theory when treating trajectories as sequence self-adjusting Kerr geodesics. The orbital evolution is thus equivalent solving geodesic equations with time-dependent elements, dictated by MPM radiation-reaction prescription. To complete scheme, both wave generation require map Boyer-Lindquist coordinates orbits harmonic which quantities have been derived, mapping provide explicitly this paper. combination approximations can be used systems ratios more moderate ratios, hence valuable information future space-based observatories like LISA even advanced ground detectors. Finally, due character time our self-force, perform studies possible appearance transient resonances inspirals.