Rotating Einstein-Maxwell black holes in odd dimensions

TL;DR

This paper constructs higher-dimensional rotating Einstein-Maxwell black holes with Chern-Simons couplings, demonstrating explicit solutions in all odd dimensions and showing that the Klein-Gordon equation is separable on these backgrounds.

Contribution

It provides explicit solutions for rotating Einstein-Maxwell black holes in all odd dimensions with Chern-Simons couplings, extending known four-dimensional results.

Findings

Explicit geometries in all odd dimensions

Klein-Gordon equation is fully separable on these backgrounds

Generalization of higher-dimensional Kerr-Newman solutions

Abstract

To construct higher-dimensional counterparts of the Kerr-Newman black holes, we consider Einstein's equations sourced by a vector field and a negative cosmological constant. In contrast to the four-dimensional case, the Maxwell's equations are modified by sources generated by topological Chern-Simons couplings, the situation already encountered in the minimal five dimensional supergravity. After constructing explicit geometries in all odd dimensions, we demonstrate that the Klein-Gordon equation on the new backgrounds is fully separable.