  It is well known that the teleparallel equivalent of general relativity
yields the same vacuum solutions as general relativity does, which ensures that
this particular teleparallel model is in good agreement with experiments. A
less known result concerns the existence of a wider class of teleparallel
models which also admits these solutions when the spacetime is diagonalizable
by means of a coordinate change. However, it is stated in Ref. [Phys. Rev. D
67, 044016 (2003).] that the teleparallel equivalent of general relativity is
the only teleparallel model which admits black holes. To show that this
statement is not true, I prove the existence of this wider class by taking an
approach different from that of Ref. [Phys. Rev. D 19, 3524 (1979)].
