Analytical expansion of inclined-spherical orbit EMRIs: Adiabatic inspirals and waveforms

With the Laser Interferometer Space Antenna scheduled for launch in 2035, expected targets, such as extreme-mass-ratio inspirals (EMRIs), are getting scrutinized more than ever. We focus our investigation on inclined-spherical Kerr EMRIs, where the adiabatic fluxes are well-approximated by an analytical expansion computed from a combined black hole perturbation and post-Newtonian calculation. Building on our previous high-order analytical flux calculation, we take the flux and amplitude expressions and use them to generate adiabatic inspirals and waveforms. We then compare our results from numerical data computed with a full Teukolsky code, looking to examine the close separation and high inclination regime.