Gravitational-wave background from compact objects embedded in AGN accretion disks

We consider a model in which massive stars form in a self-gravitating accretion disk around an active galactic nucleus (AGN). These stars may evolve and collapse to form compact objects on a time scale shorter than the accretion time, thus producing an important family of sources for LISA. Assuming the compact object formation/inspiral rate is proportional to the steady-state gas accretion rate, we use the intrinsic hard X-ray AGN luminosity function to estimate expected event rates and signal strengths. We find that these sources will produce a continuous low-frequency (<~ mHz) background detectable by LISA if more than 1% of the accreted matter is in the form of compact objects. For compact objects with masses >~ 10 solar masses the last stages of the inspiral events should be resolvable above a few mHz, with rates as high as a few hundred per year.