General-Relativistic Thomas-Fermi Model

1999/03/09 by Neven Bilic, Raoul D. Viollier · 40 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Current (fluid) #Differential geometry #Fermion #Quantum and Classical Electrodynamics #Relation (database) #Set (abstract data type) #Spectral Theory in Mathematical Physics #astro-ph #gr-qc

paper · pdf · doi:10.1023/a:1026748002175

published in General Relativity and Gravitation 31(8), 1105-1113 (Springer Science+Business Media) · 7 pages, LaTex, to appear in Gen. Rel. Grav

arxiv created 1999/03/09 · openalex publication_date 1999/08/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A system of self-gravitating massive fermions is studied in the framework of the general-relativistic Thomas-Fermi model. We study the properties of the free energy functional and its relation to Einstein's field equations. A self-gravitating fermion gas we then describe by a set of Thomas-Fermi type self-consistency equations.

Citations

• Stars and halos of degenerate relativistic heavy-neutrino and neutralino matter
• On Massive Neutron Cores
• Nonstationary irreversible thermodynamics: A causal relativistic theory
• Gravitational phase transition of heavy neutrino matter

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