2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35937We study a system of self-gravitating massive fermions in the framework of the general-relativistic Thomas-Fermi model. We postulate the free energy functional and show that its extremization is equivalent to solving the Einstein's field equations. A self-gravitating fermion gas we then describe by a set of Thomas-Fermi type self-consistency equations.7 pages, LaTexGeneral Relativity and Quantum Cosmologytext