Einstein-Maxwell-Chern-Simons Black Holes

TL;DR

This paper explores various properties and solutions of black holes in five-dimensional Einstein-Maxwell-Chern-Simons theory, including special cases from supergravity, nonuniqueness phenomena, and new solution classes with additional parameters.

Contribution

It introduces new classes of EMCS black hole solutions, including squashed black holes and solutions with magnetic flux, expanding understanding beyond known supergravity cases.

Findings

Closed form solutions for supergravity case

Existence of nonunique and radially excited solutions

Discovery of new squashed black hole solutions

Abstract

Black holes in 5-dimensional Einstein-Maxwell-Chern-Simons (EMCS) theory and their intriguing properties are discussed. For the special case of the CS coupling constant $\lambda=\lambda_{SG}$, as obtained from supergravity, a closed form solution is known for the rotating black holes. Beyond this supergravity value, the EMCS black hole solutions can e.g. exhibit nonuniqueness and form sequences of radially excited solutions. In the presence of a negative cosmological constant the black holes can possess an extra-parameter corresponding to a magnetic flux in addition to the mass, electric charge and angular momenta. This latter family of black holes possesses also a solitonic limit. Finally, a new class of squashed EMCS black hole solutions is discussed.