Kaluza-Klein vacuum multi-black holes in five-dimensions

TL;DR

This paper explores five-dimensional vacuum solutions describing rotating multi-black holes in Kaluza-Klein spacetimes, revealing their rotation, topology, and mass quantization properties.

Contribution

It demonstrates that multi-black holes can rotate maximally along extra dimensions and have various horizon topologies, with mass quantization linked to extra dimension size.

Findings

Black holes rotate maximally along the extra dimension.

Black holes can have different horizon topologies, including lens spaces.

Black hole masses are quantized by the size of the extra dimension.

Abstract

We investigate five-dimensional vacuum solutions which represent rotating multi-black holes in asymptotically Kaluza-Klein spacetimes. We show that multi-black holes rotate maximally along extra dimension, and stationary configurations in vacuum are achieved by the balance of the gravitational attraction force and repulsive force caused by the rotations of black holes. We also show that each black hole can have the different topology of the lens space in addition to the spherical topology, and mass of black holes are quantized by the size of extra dimension and horizon topology.