Fate of Yang-Mills black hole in early Universe

TL;DR

This paper investigates the fate of Yang-Mills black holes in the early Universe, highlighting how the presence of fermions influences their existence and regularity during the hot, dense early cosmological phase.

Contribution

It demonstrates that the existence and regularity of Einstein-Yang-Mills black holes depend critically on surrounding fermions, providing insights into their behavior in the early Universe.

Findings

Fermions are crucial for the existence of regular Yang-Mills black holes.

The presence of fermions affects the stability of these black holes.

The study offers a toy model for primordial black holes in the early Universe.

Abstract

According to the Big Bang Theory as we go back in time the Universe becomes progressively hotter and denser. This leads us to believe that the early Universe was filled with hot plasma of elementary particles. Among many questions concerning this phase of history of the Universe there are questions of existence and fate of magnetic monopoles and primordial black holes. Static solution of Einstein-Yang-Mills system may be used as a toy model for such a black hole. Using methods of field theory we will show that its existence and regularity depend crucially on the presence of fermions around it.