Corrigendum to "Thermodynamical instabilities of perfect fluid spheres in General Relativity"

Understand

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.