Revised spherically symmetric solutions of $R+\epsilon /R$ gravity

Abstract

We study spherically symmetric static empty space solutions in $R+\epsilon /R$ model of $f(R)$ gravity. We show that the Schwarzschild metric is an exact solution of the resulted field equations and consequently there are general solutions which {are perturbed Schwarzschild metric and viable for solar system. Our results for large scale contains a logarithmic term with a coefficient producing a repulsive gravity force which is in agreement with the positive acceleration of the universe.

8 pages

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