Charging Black Saturn?

TL;DR

This paper constructs new five-dimensional charged black object solutions using symmetry-based solution generation, revealing configurations with singularities and extremal limits, advancing understanding of higher-dimensional black hole solutions.

Contribution

It introduces a method to generate charged five-dimensional black objects from four-dimensional solutions, including charged black Saturns and black strings, highlighting their singularities and extremal limits.

Findings

Generated multi-Reissner-Nordstrom solutions in five dimensions.

Found charged black Saturn configurations with singularities.

Obtained non-extremal charged black string solutions.

Abstract

We construct new charged static solutions of the Einstein-Maxwell field equations in five dimensions via a solution generation technique utilizing the symmetries of the reduced Lagrangian. By applying our method on the multi-Reissner-Nordstrom solution in four dimensions, we generate the multi-Reissner-Nordstrom solution in five dimensions. We focus on the five-dimensional solution describing a pair of charged black objects with general masses and electric charges. This solution includes the double Reissner-Nordstrom solution as well as the charged version of the five-dimensional static black Saturn. However, all the black Saturn configurations that we could find present either a conical singularity or a naked singularity. We also obtain a non-extremal configuration of charged black strings that reduces in the extremal limit to a Majumdar-Papapetrou like solution in five dimensions.