  Spherically symmetric static empty space solutions are studied in f(R)
theories of gravity. We reduce the set of modified Einstein's equations to a
single equation and show how one can construct exact solutions in different
f(R) models. In particular, we show that for a large class models, including
e.g. the f(R)=R-\mu^4/R model, the Schwarzschild-de Sitter metric is an exact
solution of the field equations. The significance of these solutions is
discussed in light of solar system constraints on $f(R)$ theories of gravity.
