Can Dirac fermions Destroy Yang-Mills Black Hole?

TL;DR

This paper investigates how Dirac fermions influence Einstein-Yang-Mills black holes, finding that fermion vacuum effects can lead to the destruction of these black holes.

Contribution

It introduces a study of fermion effects on Einstein-Yang-Mills black holes, including a reduction to a higher-dimensional model, revealing fermion vacuum causes black hole destruction.

Findings

Fermion vacuum destroys Einstein-Yang-Mills black holes.

Both massless and massive fermions have this effect.

Higher-dimensional reduction supports the main result.

Abstract

We study the four-dimensional Einstein-Yang-Mills black hole in the presence of Dirac fermion field. Assuming a spherically symmetric static asymptotically flat black hole spacetime we consider both massless and massive fermion fields. The (4+1)-dimensional Einstein-Yang-Mills system effectively reducing to Einstein-Yang-Mills-Higgs-dilaton model, was also taken into account. One finds that fermion vacuum leads to the destruction of black holes in question.