1304.3300 (Orest Hrycyna et al.)

Brans-Dicke theory and the emergence of ΛCDM model    [PDF]

Orest Hrycyna, Marek Szydlowski

Dynamics of the Brans-Dicke theory with a scalar field potential function is investigated. We show that the system with a barotropic matter content can be reduced to an autonomous three dimensional dynamical system. For an arbitrary potential function we found the values of the Brans-Dicke parameter for which a global attractor in the phase space representing deSitter state exists. Using linearised solutions in the vicinity of this critical point we show that the evolution of the universe mimics the \Lambda CDM model. From the recent Planck satellite data, we obtain constraint on the variability of the gravitational coupling constant as well as the lower limit of the mass of the Brans-Dicke scalar field at the deSitter state.

View original: http://arxiv.org/abs/1304.3300