Quantum corrected Einstein-Yang-Mills black holes in semiclassical gravity

TL;DR

This paper investigates quantum corrections to Einstein-Yang-Mills black holes within semiclassical gravity, revealing that quantum effects can eliminate classical horizons and produce wormhole structures or horizonless solutions.

Contribution

It introduces self-consistent solutions for EYM black holes with quantum corrections, including black hole hair, showing horizon disappearance and wormhole formation.

Findings

Quantum corrected solutions lack classical horizons.

Some solutions feature wormhole structures.

Horizonless solutions are possible with black hole hair.

Abstract

We study Einstein-Yang-Mills (EYM) black holes in semiclassical gravity by including in the field equations the expectation value of a renormalized energy-momentum tensor in the Polyakov approximation. We solve the field equations and the equations of motion self-consistently. This framework has previously been used to study vacuum solutions, i.e. quantum corrected Schwarzschild black holes. In our system, which contains black hole hair, we find quantum corrected solutions in which the classical horizon disappears and is replaced by a wormhole structure, similarly to what is found in vacuum. We also find quantum corrected solutions in which the classical horizon disappears, but there is no wormhole structure. Our results indicate that the inclusion of black hole hair in semiclassical gravity still leads to the disappearance of classical horizons for nonextremal black holes in static spherically symmetric systems.