Static Black Holes of Metric-Affine Gravity in the Presence of Matter

TL;DR

This paper explores black hole solutions within metric-affine gravity theories, demonstrating that certain matter fields can lead to black hole hair and confirming the no short hair conjecture across multiple cases.

Contribution

It provides the first analysis of black hole configurations with matter fields in metric-affine gravity, highlighting the existence of black hole hair in this framework.

Findings

Black hole hair exists with non-Abelian matter fields in MAG.

The no short hair conjecture holds for various matter configurations.

Black hole solutions are characterized within the triplet ansatz sector of MAG.

Abstract

We investigate spherically symmetric and static gravitational fields representing black hole configurations in the framework of metric-affine gauge theories of gravity (MAG) in the presence of different matter fields. It is shown that in the triplet ansatz sector of MAG, black hole configurations in the presence of non-Abelian matter fields allow the existence of black hole hair. We analyze several cases of matter fields characterized by the presence of hair and for all of them we show the validity of the no short hair conjecture.