Rotating Einstein-Maxwell-Dilaton Black Holes in D Dimensions

TL;DR

This paper constructs exact charged rotating black holes in higher-dimensional Einstein-Maxwell-dilaton theory by embedding Myers-Perry solutions, performing a boost, and applying Kaluza-Klein reduction, revealing their properties and domains of existence.

Contribution

It introduces a novel method to generate charged rotating black holes in D dimensions using embedding, boosting, and reduction techniques, extending known solutions.

Findings

Black holes possess multiple angular momenta similar to Myers-Perry solutions.

Global and horizon properties of these black holes are characterized.

Domains of existence for these solutions are discussed.

Abstract

We construct exact charged rotating black holes in Einstein-Maxwell-dilaton theory in $D$ spacetime dimensions, $D \ge 5$, by embedding the $D$ dimensional Myers-Perry solutions in $D+1$ dimensions, and performing a boost with a subsequent Kaluza-Klein reduction. Like the Myers-Perry solutions, these black holes generically possess $N=[(D-1)/2]$ independent angular momenta. We present the global and horizon properties of these black holes, and discuss their domains of existence.