  We investigate the problem of static and spherically symmetric solutions in
the Starobinsky gravity model. By extending the Lichnerowicz and Israel
theorems, William Nelson have demonstrated that the Schwarzschild solution is
the unique static, spherically symmetric, and asymptotically flat black hole
solution in the Starobinsky model. However, Hong L{\"u} et al find that there
are sign errors in the proof of Nelson. This raises the problem whether
Nelson's proof is correct or not. In order to answer this question, we explore
the corresponding solutions by using the Taylor series expansion method. We
find that Nelson's conclusion is indeed correct despite the flaw in the proof.
