  In this paper, we obtain exact cosmological vacuum solutions for an extended
FLRW homogenous and isotropic Brans-Dicke (BD) universe in five dimensions for
all values of the curvature index. Then, by employing the equations associated
to a modified Brans-Dicke theory (MBDT) [1], we construct the physics on a
four-dimensional hypersurface. We show that the induced matter obeys the
equation of state of a fluid of a barotropic type. We discuss the properties of
such an induced matter for some values of the equation of state parameter and
analyze in detail their corresponding solutions. To illustrate the cosmological
behaviors of the solutions, we contrast our solutions with those present the
standard Brans-Dicke theory. We retrieve that, in MBDT scenario, it is
impossible to find a physically acceptable solution associated to the negative
curvature for both the dust-dominated and radiation-dominated universes.
However, for a spatially flat and closed universes, we argue that our obtained
solutions are more general than those associated to the standard BD theory and,
moreover, they contain a few classes of solutions which have no analog in the
BD cosmology. For those particular cases, we further compare the results with
those extracted in the context of the induced matter theory (IMT) and general
relativity (GR). Furthermore, we discuss in detail the time behaviors of the
cosmological quantities and compare them with recent observational data. We
find a favorable range for the deceleration parameter associated to a
matter-dominated spatially flat universe (for the late times) which is
compatible with recent corresponding observational results.

General Relativity and Quantum Cosmology