https://doi.org/10.1140/epjc/s10052-017-5497-y
Regular Article - Theoretical Physics
On the emergence of the 
CDM model from self-interacting Brans–Dicke theory in 
1
Departamento de Ciencias Computacionales, CUCEI, Universidad de Guadalajara, Av. Revolución 1500, 44430, Guadalajara, Jal., Mexico
2
Departamento de Física Teórica, Instituto de Física, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, Maracanã, Rio de Janeiro, Brazil
* e-mail: luzmarinareyes@gmail.com
Received:
13
September
2017
Accepted:
21
December
2017
Published online:
11
January
2018
We investigate whether a self-interacting Brans–Dicke theory in 
without matter and with a time-dependent metric can describe, after dimensional reduction to 
, the FLRW model with accelerated expansion and non-relativistic matter. By rewriting the effective 4-dimensional theory as an autonomous 3-dimensional dynamical system and studying its critical points, we show that the 
CDM cosmology cannot emerge from such a model. This result suggests that a richer structure in may be needed to obtain the accelerated expansion as well as the matter content of the 4-dimensional universe.
© The Author(s), 2018
