Black strings in asymptotically plane wave geometries

TL;DR

The paper develops a solution-generating technique, the null Melvin twist, to construct black string solutions that are asymptotically plane wave geometries. It provides an explicit neutral 10D black string in a plane-wave background, shows the horizon remains regular, and proves that the horizon area (and temperature under certain normalizations) are invariant under the twist. The authors generalize the construction to rotating and charged strings and to more general twists, and extend the framework to other spacetime dimensions, offering a concrete setting to study black objects in plane-wave spacetimes and hinting at potential BMN-like dual descriptions.

Abstract

We present a class of black string spacetimes which asymptote to maximally symmetric plane wave geometries. Our construction will rely on a solution generating technique, the null Melvin twist, which deforms an asymptotically flat black string spacetime to an asymptotically plane wave black string spacetime while preserving the event horizon.