Comparing accretion disks and dark matter spikes in intermediate mass ratio inspirals

Intermediate mass ratio inspirals (IMRIs) will be observable with space-based gravitational wave detectors such as the Llaser interferometer space antenna. To this end, the environmental effects in such systems have to be modeled and understood. These effects can include (baryonic) accretion disks and dark matter (DM) overdensities, so-called spikes. For the first time, we model an IMRI system with both an accretion disk and a DM spike present and compare their effects on the inspiral and the emitted gravitational wave signal. We study the eccentricity evolution, employ the braking index and derive the dephasing index, which turn out to be complementary observational signatures. They allow us to disentangle the accretion disk and DM spike effects in the IMRI system and can be utilized to study environmental effects in general.