Neutrino Clustering in the Galaxy with a Global Monopole

TL;DR

This paper demonstrates that neutrinos can cluster in the galactic halo due to coupling with a global monopole, with only specific fermions satisfying Einstein and Dirac equations in this context.

Contribution

It introduces a model where neutrinos couple to a global monopole, enabling their clustering in the galaxy, and clarifies conditions for fermions satisfying Einstein and Dirac equations.

Findings

Neutrinos can have effective masses and cluster in galactic halos.

Only j=1/2 fermions satisfy Einstein and Dirac equations in this setting.

Coupling to a global monopole influences neutrino behavior in galaxies.

Abstract

In spherically symmetric, static spacetime, we show that only j=1/2 fermions can satisfy both Einstein's field equation and Dirac's equation. It is also shown that neutrinos are able to have effective masses and cluster in the galactic halo when they are coupled to a global monopole situated at the galactic core. Astronomical implications of the results are discussed.