Charged rotating Kaluza–Klein black holes generated by G2(2) transformation

Abstract

Applying the G2(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 particular, the extreme solution is non-supersymmetric, which is in 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.