General-Relativistic Thomas-Fermi model
Neven Bilic (Rudjer Boskovic Institute, Zagreb, Croatia), Raoul D., Viollier (University of Cape Town, Rondebosch, South Africa)
TL;DR
This paper develops a general-relativistic Thomas-Fermi model to analyze self-gravitating fermion systems, deriving self-consistency equations and exploring their relation to Einstein's field equations.
Contribution
It introduces a relativistic Thomas-Fermi framework for self-gravitating fermions and connects it to Einstein's equations, advancing theoretical modeling.
Findings
Derived self-consistency equations for relativistic fermion gases.
Analyzed the properties of the free energy functional.
Established the relation between the model and Einstein's field equations.
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.
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