Free Energy of Gravitating Fermions

Details Free Energy of Gravitating Fermions Free Energy of Gravitating Fermions

1997-06-09

arxiv.org/abs/gr-qc/9706019v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, LaTex

Scientific paper

We 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.

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