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One of the currently available approaches to the problem of t he accelerated expansion of the Universe is based on cosmological models with various types of scalar fields. In this paper we consider a cosmological model based on the modified Jordan-B r s-Dicke (JBD) theory with a cosmological scalar φ(y) playing the role of the variable cosmological constant. Spe cial cases are considered withφ(y) = αH2 andφ(y) = αH4. In particular, we show the possibility of the expansion with uniform acceleration.

Representation of the evolution of the Universe in the JBD theory considering vacuum phenomena