Dynamics of the Bianchi I model with non-minimally coupled scalar field   near the singularity
  Dynamical systems methods are used to study the evolution of the Bianchi I model with a scalar field. We show that inclusion of the non-minimal coupling term between the scalar field and the curvature changes evolution of the model compared with the minimally coupled case. In the model with the non-minimally coupled scalar field there is a new type of singularity dominated by the non-minimal coupling term. We examine the impact of the non-minimal coupling on the anisotropy evolution and demonstrate the existence of its minimal value in the generic case. 
Orest Hrycyna, Marek Szydlowski
gr-qc astro-ph.CO hep-th