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Abstract

The Weak Field Limit of $f(R)$ Gravity in Large Scale

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. Some investigations on the physical consequences of such models are addressed.

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