Abstract

Brans–Dicke (BD) cosmology is reconsidered from an approach in which the model can be formulated in [Formula: see text]CDM form, but at the expense of replacing the rigid cosmological constant [Formula: see text] with a dynamical quasivacuum component which depends on a small parameter [Formula: see text]. The product of [Formula: see text] times the BD-parameter [Formula: see text] becomes exactly determined in terms of the ordinary cosmological parameters. The GR-limit is recovered for [Formula: see text] when [Formula: see text]. We solve the background cosmology of the model as well as the perturbations equations. When fitted to the cosmological data, we find that the BD-cosmology, transcribed in such an effective GR-form, appears to be competitive with the [Formula: see text]CDM and emulates the running vacuum model.

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