MG11 
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An f(R) gravitation for galactic environments

We propose an action-based $ f(R) $ modification of Einstein's gravity which admits of a modified Schwarzschild - deSitter metric. In the weak field limit this amounts to adding a small logarithmic correction to the newtonian potential. A test star moving in such a spacetime acquires a constant asymptotic speed at large distances. This speed turns out to be proportional to the fourth root of the mass of the central body in compliance with the Tully-Fisher relation. A variance of MOND's gravity emerges as an inevitable consequence of the proposed formalism.