General Rotating Charged Kaluza-Klein AdS Black Holes in Higher Dimensions

TL;DR

This paper constructs exact solutions for rotating, charged Kaluza-Klein black holes with a cosmological constant in higher dimensions, explores their thermodynamics, and discusses potential extensions to include multiple electric charges.

Contribution

It provides the first comprehensive solutions for nonextremal rotating, charged Kaluza-Klein black holes in higher dimensions with a cosmological constant, including generalizations with NUT charges.

Findings

Derived explicit metrics in Boyer-Lindquist and Kerr-Schild forms.

Analyzed thermodynamic properties of the solutions.

Identified potential for including multiple electric charges in future models.

Abstract

I construct exact solutions for general nonextremal rotating, charged Kaluza-Klein black holes with a cosmological constant and with arbitrary angular momenta in all higher dimensions. I then investigate their thermodynamics and find their generalizations with the NUT charges. The metrics are given in both Boyer-Lindquist coordinates and a form very similar to the famous Kerr-Schild ansatz, which highlights its potential application to include multiple electric charges into solutions yet to be found in gauged supergravity. It is also observed that the metric ansatz in $D = 4$ dimensions is similar to those previously suggested by Yilmaz and later by Bekenstein.