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A significant fraction of cosmological dark matter can be formed by verydense macroscopic objects, for example primordial black holes. Gravitationalwaves offer a promising way to probe these kinds of dark-matter candidates, ina parameter space region that is relatively untested by electromagneticobservations. In this work we consider an ensemble of macroscopic dark matterwith masses in the range $10^{-13}$ - $1\,M_{\odot}$ orbiting a super-massiveblack hole. While the strain produced by an individual dark-matter particlewill be very small, gravitational waves emitted by a large number of suchobjects will add incoherently and produce a stochastic gravitational-wavebackground. We show that LISA can be a formidable machine for detecting thestochastic background of such objects orbiting the black hole in the centre ofthe Milky Way, Sgr\.${\rm A}^{\!*}$, if a dark-matter spike of the typeoriginally predicted by Gondolo and Silk forms near the central black hole.

Waves from the Centre: Probing PBH and other Macroscopic Dark Matter with LISA