Spinning black strings in five dimensional Einstein--Gauss-Bonnet gravity

TL;DR

This paper constructs five-dimensional spinning black string solutions with Gauss-Bonnet corrections, revealing their properties, limitations, and a maximum coupling constant beyond which solutions do not exist.

Contribution

It introduces the first generalization of D=5 Kerr black strings with higher curvature Gauss-Bonnet terms, analyzing their properties and existence limits.

Findings

Solutions satisfy a generalized Smarr relation.

Exist only up to a maximal Gauss-Bonnet coupling constant.

Share properties with Einstein gravity solutions.

Abstract

We construct generalizations of the D=5 Kerr black string by including higher curvature corrections to the gravity action in the form of the Gauss-Bonnet density. These uniform black strings satisfy a generalised Smarr relation and share the basic properties of the Einstein gravity solutions. However, they exist only up to a maximal value of the Gauss-Bonnet coupling constant, which depends on the solutions' mass and angular momentum.