Einstein-Yang-Mills black hole solution in higher dimensions by the Wu-Yang Ansatz

TL;DR

This paper presents an analytical method to derive higher-dimensional Einstein-Yang-Mills black hole solutions using the Wu-Yang Ansatz, highlighting the YM charge contribution and unique features of these solutions.

Contribution

It introduces an alternative analytical approach to find higher-dimensional EYM black holes via the Wu-Yang Ansatz, emphasizing the YM charge's role.

Findings

Analytical solutions for higher-dimensional EYM black holes obtained.

The method clarifies the contribution of the Yang-Mills charge.

Features of the black hole solutions discussed.

Abstract

By employing the higher dimensional version of the Wu-Yang Ansatz we obtain black hole solutions in the spherically symmetric Einstein-Yang-Mills (EYM) theory. Although these solutions were found recently by other means, our method provides an alternative way in which one identifies the contribution from the Yang-Mills (YM) charge. Our method has the advantage to be carried out analytically as well. We discuss some interesting features of the black hole solutions obtained.