On Some New Black String Solutions in Three Dimensions

TL;DR

This paper presents new stationary black string solutions in three-dimensional string theory, derived via duality transformations, featuring horizons, gauge hair, and traveling waves, expanding the landscape of known solutions.

Contribution

It introduces a family of new three-dimensional black string solutions with gauge hair and traveling waves, constructed using string dualities and a recent generating technique.

Findings

New stationary black string solutions with horizons

Solutions include gauge hair and traveling waves

Potential for a broader family of solutions

Abstract

We derive several new solutions in three-dimensional stringy gravity. The solutions are obtained with the help of string duality transformations. They represent stationary configurations with horizons, and are surrounded by (quasi) topologically massive Abelian gauge hair, in addition to the dilaton and the Kalb-Ramond axion. Our analysis suggests that there exists a more general family, where our solutions are special limits. Finally, we use the generating technique recently proposed by Garfinkle to construct a traveling wave on the extremal variant of one of our solutions.