Equilibrium and stability of neutrino lumps as TOV solutions

TL;DR

This paper investigates the stability and equilibrium conditions of neutrino lumps modeled as TOV solutions, revealing how mass-varying mechanisms influence their formation and potential cosmological implications.

Contribution

It introduces stability criteria for neutrino-based structures with variable mass using TOV solutions, connecting particle physics with cosmological models.

Findings

Mass-varying neutrino lumps can be stable under specific conditions.

The formation of neutrino lumps may alter cosmological neutrino mass constraints.

Some solutions resemble black hole conditions from an external perspective.

Abstract

We report about stability conditions for static, spherically symmetric objects that share the essential features of mass varying neutrinos in cosmological scenarios. Compact structures of particles with variable mass are held together preponderantly by an attractive force mediated by a background scalar field. Their corresponding conditions for equilibrium and stability are given in terms of the ratio between the total mass-energy and the spherical lump radius, $M/R$. We show that the mass varying mechanism leading to lump formation can modify the cosmological predictions for the cosmological neutrino mass limits. Our study comprises Tolman-Oppenheimer-Volkoff solutions of relativistic objects with non-uniform energy densities. The results leave open some questions concerning stable regular solutions that, to an external observer, very closely reproduce the preliminary conditions to form Schwarzschild black holes.