Charged Rotating Kaluza-Klein Black Holes in Five Dimensions

TL;DR

This paper constructs a new class of charged, rotating Kaluza-Klein black hole solutions in five-dimensional Einstein-Maxwell theory, revealing novel non-BPS black holes with unique asymptotic and rotational properties.

Contribution

It introduces a new exact solution for charged rotating Kaluza-Klein black holes in five dimensions, including non-BPS and extremal cases, expanding the known solution space.

Findings

Solutions are asymptotically locally flat with twisted S^1 fibers.

Describes non-BPS black holes rotating along the extra dimension.

Includes limits to supersymmetric and extremal black hole solutions.

Abstract

We construct a new charged rotating Kaluza-Klein black hole solution in the five-dimensional Einstein-Maxwell theory with a Chern-Simon term. The features of the solutions are also investigated. The spacetime is asymptotically locally flat, i.e., it asymptotes to a twisted $\rm S^1$ bundle over the four-dimensional Minkowski spacetime. The solution describe a non-BPS black hole rotating in the direction of the extra dimension. The solutions have the limits to the supersymmetric black hole solutions, a new extreme non-BPS black hole solutions and a new rotating non-BPS black hole solution with a constant twisted $\rm S^1$ fiber.