Abstract

In these notes of our talk we present an analysis, in the context of five-dimensional (5D) Brans–Dicke theory of gravity, of the idea that macroscopic matter configurations can be generated from pure vacuum in 5D following in much the approach first proposed by Wesson collaborators of the induced matter theory (IMT). We show that it is possible to induce a modified Brans–Dicke theory of embedded four-dimensional (4D) spacetime. Using this formalism we obtain two 5D extensions of the known 4D O’Hanlon vacuum solution and we show that they lead to two different cosmological scenarios on the 4D spacetime.

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