Profile of a Galactic Spherical Cloud of Self-Gravitating Fermions

TL;DR

This paper develops a comprehensive theoretical model for self-gravitating fermionic clouds, applying it to dark matter halos and dwarf galaxies, and estimating fermion mass bounds based on astronomical data.

Contribution

It introduces a complete theory linking fermionic density, gravitational field, and observable properties, with applications to dark matter and galaxy data.

Findings

Estimates of elementary fermion mass from dwarf galaxy data

Comparison of model predictions with astronomical observations

Phase-space bounds on fermionic dark matter

Abstract

The field which binds a thermal fermionic cloud is defined as a Hartree integral upon its density. In turn, the density results from the field via a Thomas-Fermi occupation of the local phase space. This defines a complete theory of all properties and observables for the cloud. As an application to dark matter halos, comparisons with astronomic data on dwarf spheroidal galaxies are provided and discussed. Estimates of the elementary fermion mass are obtained, serving as a phase-space bound on fermionic dark matter.