Five-dimensional black strings in Einstein-Gauss-Bonnet gravity

TL;DR

This paper numerically constructs five-dimensional black string solutions in Einstein-Gauss-Bonnet gravity, revealing conditions for regularity and generating bubble solutions via double Wick rotation.

Contribution

It provides the first detailed numerical analysis of black strings in Einstein-Gauss-Bonnet gravity, identifying conditions for regular solutions and methods to generate bubble solutions.

Findings

Regular black string solutions exist only under specific charge relations.

Solutions exhibit singularities if charges are not fine-tuned.

Bubble solutions can be generated from black strings using double Wick rotation.

Abstract

We consider black-string-type solutions in five-dimensional Einstein-Gauss-Bonnet gravity. Numerically constructed solutions under static, axially symmetric and translationally invariant metric ansatz are presented. The solutions are specified by two asymptotic charges: mass of a black string and a scalar charge associated with the radion part of the metric. Regular black string solutions are found if and only if the two charges satisfy a fine-tuned relation, and otherwise the spacetime develops a singular event horizon or a naked singularity. We can also generate bubble solutions from the black strings by using a double Wick rotation.