Self-gravitating Newtonian models of fermions with anisotropy and cutoff energy in their distribution function

Abstract

Systems of self-gravitating fermions constitute a topic of great interest in astrophysics, due to the wide field of applications. In this paper, we consider the gravitational equilibrium of spherically symmetric Newtonian models of collisionless semidegenerate fermions. We construct numerical solutions by taking into account the effects of the anisotropy in the distribution function and considering the prevalence of tangential velocity. In this way, our models generalize the solutions obtained for isotropic Fermi-Dirac statistics. We also extend the analysis to equilibrium configurations in the classical regime and in the fully degenerate limit, recovering, for different levels of anisotropy, hollow equilibrium configurations obtained in Maxwellian regime. Moreover, in the limit of full degeneracy, we find a direct expression relating the anisotropy with the mass of the particles composing the system.

32 pages, 10 figures, accepted for publication in Physical Review D

References in corpus (6)

• Equation of State of a Dense and Magnetized Fermion System
• Newtonian polytropes for anisotropic matter: General framework and applications
• Anisotropic Models for Globular Clusters, Galactic Bulges and Dark Halos
• Measurement of the dark matter velocity anisotropy in galaxy clusters
• The double-power approach to spherically symmetric astrophysical systems
• Distribution Function of Dark Matter with Constant Anisotropy

Cited by in corpus (5)

• New mass bound on fermionic dark matter from a combined analysis of classical dSphs
• New anisotropic star solutions in mimetic gravity
• On self-gravitating strange dark matter halos around galaxies
• New model of density distribution for fermionic dark matter halos
• Self-Gravitating Relativistic Models of Fermions with Anisotropy and Cutoff Energy in their Distribution Function