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We study cosmological perturbations in the context of an interacting darkenergy model, in which the cosmological term decays linearly with the Hubbleparameter, with concomitant matter production. A previous joint analysis of theredshift-distance relation for type Ia supernovas, baryonic acousticoscillations, and the position of the first peak in the anisotropy spectrum ofthe cosmic microwave background has led to acceptable values for thecosmological parameters. Here we present our analysis of small perturbations,under the assumption that the cosmological term, and therefore the matterproduction, are strictly homogeneous. Such a homogeneous production tends todilute the matter contrast, leading to a late-time suppression in the powerspectrum. Nevertheless, an excellent agreement with the observational data canbe achieved by using a higher matter density as compared to the concordancevalue previously obtained. This may indicate that our hypothesis of homogeneousmatter production must be relaxed by allowing perturbations in the interactingcosmological term.

Evolution of density perturbations in decaying vacuum cosmology