Determination of the upper and lower bound of masslimit of degenerate fermionic dark matter objects

TL;DR

This paper establishes relativistic upper and lower mass bounds for static degenerate fermionic dark matter objects, considering particle annihilation effects and different fermion types, providing insights into their possible mass range.

Contribution

It introduces a fully relativistic approach to determine mass limits of fermionic dark matter objects, including annihilation effects and fermion types, which was not comprehensively addressed before.

Findings

Derived relativistic mass bounds for dark matter objects.

Analyzed the impact of particle annihilation on mass limits.

Compared effects of Dirac and Majorana fermions on stability.

Abstract

We give a gravitational upper limit for the mass of static degenerate fermionic dark matter objects. The treatment we use includes fully relativistic equations for describing the static solutions of these objects. We study the influence of the annihilation of the particles on this mass limit. We give the change of its value over the age of the Universe with annihilation cross sections relevant for such fermions constituting the dark matter. Our calculations take into account the possibility of Dirac as well Majorana spinors.