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

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Auteur principal: Kain, Ben
Format: Preprint
Publié: 2025
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author Kain, Ben
author_facet Kain, Ben
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_08278
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum corrected Einstein-Yang-Mills black holes in semiclassical gravity
Kain, Ben
General Relativity and Quantum Cosmology
High Energy Physics - Theory
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.
title Quantum corrected Einstein-Yang-Mills black holes in semiclassical gravity
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2502.08278