Self-Gravitating Relativistic Models of Fermions with Anisotropy and Cutoff Energy in their Distribution Function

TL;DR

This paper develops relativistic models of anisotropic self-gravitating fermions, extending previous solutions to include anisotropy and cutoff energy, with applications to neutron stars and white dwarfs.

Contribution

It introduces a generalized relativistic model for anisotropic fermion systems with cutoff energy, expanding the understanding of dense astrophysical objects.

Findings

Density profiles vary with anisotropy levels.

Relation between anisotropy and particle mass in relativistic regime established.

Models applicable to neutron stars and white dwarfs with magnetic fields.

Abstract

In this paper we study the equilibrium configurations of anisotropic self-gravitating fermions, by extending to general relativity the solutions obtained in a previous paper. This treatment also generalizes to anisotropic systems the relativistic self-gravitating Fermi gas model, by considering different degrees of anisotropy. We discuss some important characteristics of the models and the obtained density profiles, and generalize the relation between the anisotropy and the mass of particles in the relativistic regime. These relativistic models may also be applied to the study of superdense neutron stars with anisotropic pressure or super-Chandrasekhar white dwarfs generated by the presence of a magnetic field.