Fermion states localized on a self-gravitating non-Abelian monopole

TL;DR

This paper investigates how fermion states behave on a self-gravitating non-Abelian monopole, revealing their absorption into black holes as gravitational effects intensify, advancing understanding of fermion-gravity interactions.

Contribution

It analyzes the spectral flow of fermionic modes on a non-Abelian monopole in a gravitational setting, highlighting their transition into black hole interiors.

Findings

Fermion modes are absorbed into black holes at high gravitational coupling.

Spectral flow depends on the effective gravitational coupling constant.

Transition to Reissner-Nordström black hole causes complete fermion mode absorption.

Abstract

We study fermionic modes localized on the static spherically symmetric self-gravitating non-Abelian monopole in the $SU(2)$ Einstein-Dirac-Yang-Mills-Higgs theory. We consider dependence of the spectral flow on the effective gravitational coupling constant and show that, in the limiting case of transition to the Reissner-Nordstr\"{o}m black hole, the fermion modes are fully absorbed into the interior of the black hole.