${\hat{I}}^3$ Parameter and Solar System constraint in Chameleon Brans Dick Theory

Abstract

The post Newtonian parameter is considered in the Chameleon-Brans-Dicke frame. In the first step, the general form of this parameter and also effective gravitational constant is obtained. An arbitrary function for $f(\hat{I}¦)$, which indicates the coupling between matter and scalar field, is introduced to investigate validity of solar system constraint. It is shown that Chameleon-Brans-Dicke model can satisfy the solar system constraint and gives us an $\ddot{I}‰$ parameter of order $10^4$, which is in comparable to the constraint which has been indicated in {\cite{17-a}}.

8 pages, 2 figures