New Black Strings in Three Dimensions

TL;DR

This paper introduces two new families of charged black string solutions in three dimensions, analyzing their causal structure, extremal limits, and suggesting a broader family of solutions.

Contribution

It presents novel stationary black string solutions with electric and axion charges, including extremal limits and a conjecture of a continuous family of solutions.

Findings

Solutions are causally geodesically complete despite singular regions.

Existence of extremal limits of the black strings.

Potential for a more general interpolating family of solutions.

Abstract

We present two different families of stationary black strings in three dimensions carrying electric and axion charges. Both solutions contain a singular region, which however is quite harmless for string frame geodesic observers, because the solutions are causally geodesically complete. In addition, we exhibit a variety of extremal limits of our solutions, and argue that there must exist a more general family continuously interpolating between them.