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Microscopic horizonless relics could form in the early universe eitherdirectly through gravitational collapse or as stable remnants of the Hawkingevaporation of primordial black holes. In both cases they completely orpartially evade cosmological constraints arising from Hawking evaporation andin certain mass ranges can explain the entirety of the dark matter. Wesystematically explore the stochastic gravitational-wave background associatedwith the formation of microscopic dark-matter relics in various scenarios,adopting an agnostic approach and discussing the limitations introduced byexisting constraints, possible ways to circumvent the latter, and expectedastrophysical foregrounds. Interestingly, this signal is at most marginallydetectable with current interferometers but could be detectable bythird-generations instruments such as the Einstein Telescope, strengtheningtheir potential as discovery machines.

Stochastic gravitational-wave background at 3G detectors as a smoking gun for microscopic dark matter relics