THE WEAK FIELD LIMIT OF f(R) GRAVITY IN LARGE SCALE STRUCTURE

Abstract

The spherically symmetric solution for the weak field limit of f (R) gravity in the large scale is investigated. It is shown that, in the weak field limit, the standard Newtonian potential is corrected by a small term which reduces to zero when coupling constant tends to zero. For the considered models, we determine the space-time metric which reduce to general relativity in the zero order limit.