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The Thomas-Fermi model at finite temperature is extended to describe a systemof self-gravitating weakly interacting massive fermions in ageneral-relativistic framework. By cooling a nondegenerate gas of weaklyinteracting massive fermions below some critical temperature, a condensed phaseemerges, consisting of quasidegenerate fermion stars. For fermion masses of 10to 25 keV, these fermion stars may very well provide an alternative explanationfor the supermassive compact dark objects that are observed at galacticcenters.Comment: 19 pages incl. 8 ps-figs, LaTe

Gravitational phase transition of fermionic matter in a general-relativistic framework