γ parameter and Solar System constraint in chameleon-Brans-Dicke theory

The post Newtonian parameter is considered in the chameleon-Brans-Dicke model. In the first step, the general form of this parameter and also effective gravitational constant is obtained. An arbitrary function for f(Phi), which indicates the coupling between matter and scalar field, is introduced to investigate validity of solar system constraint. It is shown that the chameleon-Brans-Dicke model can satisfy the solar system constraint and gives us an omega parameter of order 10(4), which is in comparable to the constraint which has been indicated in [19].