Rotating Kaluza-Klein Multi-Black Holes with Godel Parameter

TL;DR

This paper presents new five-dimensional supersymmetric rotating multi-black hole solutions with Godel parameter, featuring diverse horizon topologies and ergoregion structures, while avoiding closed timelike curves outside horizons.

Contribution

Introduction of novel supersymmetric rotating multi-Kaluza-Klein black hole solutions with Godel parameter and diverse horizon topologies in Einstein-Maxwell-Chern-Simons theory.

Findings

Solutions have no closed timelike curves outside horizons.

Horizons can have lens space topologies L(n;1).

Space-time exhibits complex ergoregion structures.

Abstract

We obtain new five-dimensional supersymmetric rotating multi-Kaluza-Klein black hole solutions with the Godel parameter in the Einstein-Maxwell system with a Chern-Simons term. These solutions have no closed timelike curve outside the black hole horizons. At the infinity, the space-time is effectively four-dimensional. Each horizon admits various lens space topologies L(n;1)=S^3/Z_n in addition to a round 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.