Charged black strings in a five-dimensional Kasner universe

TL;DR

This paper constructs and analyzes time-dependent charged black string solutions in five-dimensional Einstein-Maxwell theory, revealing their near-horizon staticity, asymptotic Kasner universe behavior, and particle orbit properties.

Contribution

It introduces new time-dependent charged black string solutions in five dimensions and examines their horizon structure and particle dynamics.

Findings

Near-horizon spacetime is approximately static with a smooth event horizon

Far from the black string, spacetime approaches a Kasner universe

Existence of quasi-circular orbits around the black string

Abstract

We construct time-dependent charged black string solutions in five-dimensional Einstein-Maxwell theory. In the far region, the spacetime approaches a five-dimensional Kasner universe with a expanding three-dimensional space and a shrinking extra dimension. Near the event horizon, the spacetime is approximately static and has a smooth event horizon. We also study the motion of test particles around the black string and show the existence of quasi-circular orbits. Finally, we briefly discuss the stability of this spacetime.