Cosmic evolution in Brans-Dicke chameleon cosmology

We have investigated the Brans-Dicke chameleon theory of gravity and obtained exact solutions of the scale factor a(t), the scalar field phi(t), an arbitrary function f(phi) which interact with the matter Lagrangian in the action of the Brans-Dicke chameleon theory and the potential V (phi) for different epochs of the cosmic evolution. We plot the functions a(t), phi(t), f(t) and V (phi) for different values of the Brans-Dicke parameter. In our models, there is no accelerating solution, only a decelerating one with q > 0. The physical cosmological distances have been investigated carefully. Further, the statefinder parameters pair and deceleration parameter are discussed.