Charged Rotating Kaluza-Klein Black Holes Generated by G2(2) Transformation

TL;DR

This paper introduces a new rotating charged Kaluza-Klein black hole solution in five-dimensional supergravity, generated via G_{2(2)} transformations, expanding the understanding of black hole solutions with extra dimensions.

Contribution

It presents a novel rotating charged Kaluza-Klein black hole solution derived from G_{2(2)} transformations, with unique properties and limits.

Findings

Solution behaves as a four-dimensional flat spacetime with a compact extra dimension.

Extreme solution is non-supersymmetric, contrasting with static cases.

Includes limits to known asymptotically flat black holes and a new black string solution.

Abstract

Applying the G_{2(2)} generating technique for minimal D=5 supergravity to the Rasheed black hole solution, we present a new rotating charged Kaluza-Klein black hole solution to the five-dimensional Einstein-Maxwell-Chern-Simons equations. At infinity, our solution behaves as a four-dimensional flat spacetime with a compact extra dimension and hence describes a Kaluza-Klein black hole. In particlar, the extreme solution is non-supersymmetric, which is contrast to a static case. Our solution has the limits to the asymptotically flat charged rotating black hole solution and a new charged rotating black string solution.