Probing a cosmological model with a Lambda = Lambda(0)+3 beta H-2 decaying vacuum

Abstract

In this work we study the evolution of matter-density perturbations for an arbitrary Lambda(t) model and specialize our analysis to the particular phenomenological law Lambda = Lambda(0) + 3 beta H-2. We study the evolution of the cosmic star formation rate in this particular dark energy scenario and, by constraining the beta parameter using both the age of the Universe and the cosmic star formation rate curve, we show that it leads to a reasonable physical model for beta less than or similar to 0.1.