Rotating Kaluza-Klein multi-black holes with Gödel parameter

Abstract

We obtain new five-dimensional supersymmetric rotating multi-Kaluza-Klein black hole solutions with the G\"odel parameter in the Einstein-Maxwell system with a Chern-Simons term. These solutions have no closed timelike curve outside the black hole horizons. At infinity, the space-time is effectively four-dimensional. Each horizon admits various lens space topologies $L(n;1)={\mathrm{S}}^{3}/{\mathbb{Z}}_{n}$ in addition to a round ${\mathrm{S}}^{3}$. The space-time can have outer ergoregions disjointed from the black hole horizons, as well as inner ergoregions attached to each horizon. We discuss the rich structures of ergoregions.