A 3D Brans-Dicke Theory Model

The evidence of an accelerated universe and the gap of 70 percent in the total energy, collected by WMAP, are problems that cannot be solved by standard models based on General relativity. Therefore the search for an alternative theory that solves the open questions in General Relativity became an important research field in the past few years. A particular alternative is the Brans-Dicke theory, which has been broadly studied as concerned to k-essence type fields in 4D. However, this theory is almost unexplored in the context of the dimensional reduction in 3D. In the present work, we study the Brans-Dicke Theory in a dimensional reduction context. In order to do this, we consider the Brans-Dicke theory in the vacuum, and in the presence of matter fields.