Modified Brans-Dicke theory of gravity from five-dimensional vacuum
Jose Edgar Madriz Aguilar, Carlos Romero, Adriano Barros
TL;DR
This paper explores how five-dimensional vacuum Brans-Dicke gravity can generate four-dimensional matter configurations, resulting in modified Brans-Dicke theory and new cosmological models.
Contribution
It demonstrates the derivation of 4D modified Brans-Dicke theory from 5D vacuum equations and introduces two novel 5D extensions of known vacuum solutions.
Findings
Derived 4D modified Brans-Dicke equations from 5D vacuum
Presented two 5D extensions of O'Hanlon and Tupper solutions
Showed these extensions lead to different cosmological scenarios
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 in the framework of general relativity. We show that the 5D Brans-Dicke vacuum equations when reduced to four dimensions lead to a modified version of Brans-Dicke theory in four dimensions (4D). As an application of the formalism, we obtain two five-dimensional extensions of four-dimensional O'Hanlon and Tupper vacuum solution and show that they lead two different cosmological scenarios in 4D.
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