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We study the effects of vacuum energy perturbations on the evolution of thedark matter growth rate in a decomposed Chaplygin gas model with interactingdark matter and vacuum energy. We consider two different cases: (i) geodesicdark matter with homogeneous vacuum, and (ii) a covariant ansatz for vacuumdensity perturbations. In the latter case, we show that the vacuumperturbations are very tiny as compared to dark matter perturbations onsub-horizon scales. In spite of that, depending on the value of the Chaplygingas parameter {\alpha}, vacuum perturbations suppress or enhance the darkmatter growth rate as compared to the geodesic model.

Growth rate in inhomogeneous interacting vacuum models