Charged, rotating black objects in Einstein-Maxwell-dilaton theory in $D\ge 5$

TL;DR

This paper extends a framework for studying asymptotically flat black objects in higher dimensions to Einstein-Maxwell-dilaton theory, describing new charged black hole solutions with various horizon topologies and analyzing their properties.

Contribution

It generalizes an existing framework to include Einstein-Maxwell-dilaton theory, enabling the study of charged black objects with diverse horizon topologies in higher dimensions.

Findings

Describes black holes with spherical horizon topology in EMd theory.

Introduces black ringoids with $k>0$ horizon topology.

Analyzes properties of solutions at Kaluza-Klein dilaton coupling.

Abstract

We show that the general framework proposed in arXiv:1410.0581 for the study of asymptotically flat vacuum black objects with $k+1$ equal magnitude angular momenta in $D\geq 5$ spacetime dimensions (with $0\leq k\leq \big[\frac{D-5}{2} \big]$) can be extended to the case of Einstein-Maxwell-dilaton (EMd) theory. This framework can describe black holes with spherical horizon topology, the simplest solutions corresponding to a class of electrically charged (dilatonic) Myers-Perry black holes. Balanced charged black objects with $ S^{n+1} \times S^{2k+1}$ horizon topology can also be studied (with $D=2k+n+4$). Black rings correspond to the case $k=0$, while the solutions with $k>0$ are black ringoids. The basic properties of EMd solutions are discussed for the special case of a Kaluza-Klein value of the dilaton coupling constant. We argue that all features of these solutions can be derived from those of the vacuum seed configurations.