Charged rotating Kaluza-Klein multi-black holes and multi-black strings in five-dimensional Einstein-Maxwell theory

TL;DR

This paper constructs exact solutions for charged, rotating Kaluza-Klein multi-black holes and multi-black strings in five-dimensional Einstein-Maxwell theory, revealing quantization conditions and extending to Einstein-Maxwell-Chern-Simons theory.

Contribution

It provides the first explicit solutions for regular charged rotating multi-black holes and strings in five-dimensional Einstein-Maxwell theory, including extensions with Chern-Simons terms.

Findings

Quantization conditions relate mass, angular momentum, and charges.

Multi-black string solutions obtained as limits of black hole solutions.

Extension of solutions to Einstein-Maxwell-Chern-Simons theory with arbitrary coupling.

Abstract

We construct exact solutions, which represent regular charged rotating Kaluza-Klein multi-black holes in the five-dimensional pure Einstein-Maxwell theory. Quantization conditions between the mass, the angular momentum, and charges appear from the regularity condition of horizon. We also obtain multi-black string solutions by taking some limits in the solutions. We extend the black hole solutions to the five-dimensional Einstein-Maxwell-Chern-Simons theory with an arbitrary Chern-Simons coupling constant.