  We show that Schwarzschild geometry remains as a vacuum solution for those
four-dimensional f(T) gravitational theories behaving as ultraviolet
deformations of general relativity. In the gentler context of three-dimensional
gravity, we also find that the infrared-deformed f(T) gravities, like the ones
used to describe the late cosmic speed up of the Universe, have as the
circularly symmetric vacuum solution a Deser-de Sitter or a BTZ-like spacetime
with an effective cosmological constant depending on the infrared scale present
in the function f(T).
