Observable gravitational waves from tidal disruption events and their electromagnetic counterpart

We estimate the rate of tidal disruption events (TDEs) that will be detectable with future space-based gravitational wave detectors as well as the most probable properties of these events. We find that the Laser Interferometer Space Antenna (LISA) will be able to detect up to few 10 events, but this number will strongly depend on our ability to disentangle the signal from the noise. The future number of (non-)observation will add additional constraints on the typical age of stars surrounding central black holes (BHs), however it will not constrain the unknown regimes of the BH mass function. Most probable events will involve 10 M$_\odot$ stars around few $10^6$ M$_\odot$ BHs and will be detectable in the X-ray and optical part of the electromagnetic spectrum, which may open the multi-messenger era for TDEs. The generation of detectors following LISA will routinely detect gravitational waves from TDEs at cosmological distances.