  In [1], the thermal equilibrium of static, spherically symmetric perfect
fluids in General Relativity was studied. I would like to elaborate three
points relevant to the results of [1]. The first point is only a clarification,
summarized in theorem 1 below, of results that appear in [1]. The following two
points correct the error in [1], stating that the condition for thermodynamic
stability, found in [1], is referring to the microcanonical ensemble, while it
was referring to the canonical one. In theorems 2 and 3, specific cases for
which equivalence of dynamical and thermodynamic stability holds are specified.
