Abstract
We investigate, in the context of five-dimensional (5D) Brans–Dicke theory of gravity, the idea that macroscopic matter configurations can be generated from pure vacuum in five dimensions, an approach first proposed by Wesson and collaborators in the framework of 5D general relativity. We show that the 5D Brans–Dicke vacuum equations when reduced to four dimensions (4D) lead to a modified version of Brans–Dicke theory in 4D. As an application of the formalism, we obtain two 5D extensions of 4D O’Hanlon and Tupper vacuum solution and show that they lead two different cosmological scenarios in 4D.
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Aguilar, J.E.M., Romero, C. & Barros, A. Modified Brans–Dicke theory of gravity from five-dimensional vacuum. Gen Relativ Gravit 40, 117–130 (2008). https://doi.org/10.1007/s10714-007-0517-0
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DOI: https://doi.org/10.1007/s10714-007-0517-0