Connecting black holes and black strings

TL;DR

This paper presents new numerical solutions for localized black holes in 5 and 6 dimensions, providing evidence for a topology-changing transition between black holes and non-uniform black strings in compactified spacetimes.

Contribution

It introduces novel numerical solutions for localized black holes in higher dimensions and explores their connection to non-uniform black strings, suggesting a topology change.

Findings

Black hole and non-uniform string branches likely join at a topology-changing solution.

New numerical solutions for 5- and 6-dimensional localized black holes.

Evidence for a continuous transition between black holes and black strings.

Abstract

Static vacuum spacetimes with one compact dimension include black holes with localised horizons but also uniform and non-uniform black strings where the horizon wraps over the compact dimension. We present new numerical solutions for these localised black holes in 5 and 6-dimensions. Combined with previous 6-d non-uniform string results, these provide evidence that the black hole and non-uniform string branches join at a topology changing solution.