  We investigate the prospects for probing asymmetric dark matter models
through their gravitational wave signatures. We concentrate on a theory
extending the Standard Model gauge symmetry by a non-Abelian group, under which
leptons form doublets with new fermionic partners, one of them being a dark
matter candidate. The breaking of this new symmetry occurs at a high scale, and
results in a strong first order phase transition in the early Universe. The
model accommodates baryogenesis in an asymmetric dark matter setting and
predicts a gravitational wave signal within the reach of near-future
experiments.
