On the emergence of the $\mathbf{\Lambda }$CDM model from self-interacting Brans-Dicke theory in $\mathbf{d}=5$

Abstract

We investigate whether a self-interacting Brans-Dicke theory in $d=5$ without matter and with a time-dependent metric can describe, after dimensional reduction to $d=4$, the FLRW model with accelerated expansion and non-relativistic matter. By rewriting the effective 4-dimensional theory as an autonomous three-dimensional dynamical system and studying its critical points, we show that the $\Lambda$CDM cosmology cannot emerge from such a model. This result suggests that a richer structure in $d=5$ may be needed to obtain the accelerated expansion as well as the matter content of the 4-dimensional universe.

7 pages, 7 figures

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Cited by in corpus (5)

• Fractional Scalar Field Cosmology
• Noncompactified Kaluza--Klein Gravity
• Extended anisotropic models in noncompact Kaluza-Klein theory
• Emergent $\Lambda$CDM cosmology from a measure-induced deformation of the Newtonian action
• Dynamical analysis of Brans-Dicke Universe with inverse power-law effective potential