Non-abelian magnetic black strings versus black holes

TL;DR

This paper explores higher-dimensional magnetic black strings derived from Einstein-Yang-Mills-Dilaton black holes, highlighting their unique properties, topology changes, and transition to black holes as the YM charge increases.

Contribution

It introduces a new class of pure magnetic Yang-Mills black strings in higher dimensions, connecting black hole solutions to string-like objects with distinct topological and thermodynamic features.

Findings

Black strings have uniform Hawking temperature.

Large YM charge causes the string to thin and transition into a black hole.

Black strings exhibit non-asymptotically flat geometry.

Abstract

We present $d+1-$dimensional pure magnetic Yang-Mills (YM) black strings (or $1-$branes) induced by the $d-$dimensional Einstein-Yang-Mills-Dilaton black holes. Born-Infeld version of the YM field makes our starting point which goes to the standard YM field through a limiting procedure. The lifting from black holes to black strings, (with less number of fields) is by adding an extra, compact coordinate. This amounts to the change of horizon topology from $S^{d-2}$ to a product structure. Our black string in $5-$dimensions is a rather special one, with uniform Hawking temperature and non-asymptotically flat structure. As the YM charge becomes large the string gets thinner to tend into a breaking point and transform into a $4-$% dimensional black hole.