A Rotating Kaluza-Klein Black Hole with Squashed Horizons

TL;DR

This paper presents a new five-dimensional rotating Kaluza-Klein black hole solution with squashed horizons, expanding understanding of higher-dimensional black hole geometries and their thermodynamics.

Contribution

It introduces a novel rotating Kaluza-Klein black hole with squashed horizons, extending previous static solutions to include rotation and thermodynamic analysis.

Findings

The solution is geodesically complete and free of naked singularities.

The asymptotic structure is a twisted S^1 fiber bundle over Minkowski space.

The black hole's mass and thermodynamic properties are analyzed.

Abstract

We find a rotating Kaluza-Klein black hole solution with a squashed $S^3$ horizon in five dimensions. This is a Kerr counterpart of the charged one found by Ishihara and Matsuno (hep-th/0510094) recently. The space-time is geodesic complete and free of naked singularity. Its asymptotic structure is a twisted $S^1$ fiber bundle over a four dimensional Minkowski space-time. We also study the mass and thermodynamics of this black hole.