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

Abstract

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.

4 pages

Cited by in corpus (5)

• Dynamical Instability of Collapsed Dark Matter Halos
• Local temperature in general relativity
• Thermal equilibrium states and instability of self-gravitating particles in an asymptotically AdS spacetime
• Gravothermal catastrophe and critical dimension in a $D$-dimensional asymptotically AdS spacetime
• Self-gravitating isothermal sphere in an expanding background