Charged rotating black holes in Einstein--Maxwell--Chern-Simons theory with a negative cosmological constant

TL;DR

This paper investigates rotating black hole solutions in five-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant, revealing new features and solution behaviors depending on the Chern-Simons coupling constant.

Contribution

It provides analytical and numerical analysis of charged rotating black holes in this theory, highlighting how solution properties change with the Chern-Simons coupling and uncovering new phenomena.

Findings

Solutions share properties with known Cvetic-Lü-Pope black holes at λ=1

Solutions are not uniquely determined by global charges when λ exceeds a critical value

Black holes exhibit radial excitations labeled by magnetic gauge potential node number

Abstract

We consider rotating black hole solutions in five-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant and a generic value of the Chern-Simons coupling constant $\lambda$. Using both analytical and numerical techniques, we focus on cohomogeneity-1 configurations, with two equal-magnitude angular momenta, which approach at infinity a globally AdS background. We find that the generic solutions share a number of basic properties with the known Cvetic, L\"u and Pope black holes which have $\lambda=1$. New features occur as well, for example, when the Chern-Simons coupling constant exceeds a critical value, the solutions are no longer uniquely determined by their global charges. Moreover, the black holes possess radial excitations which can be labelled by the node number of the magnetic gauge potential function. Solutions with small values of $\lambda$ possess other distinct features. For instance, the extremal black holes there form two disconnected branches, while not all near-horizon solutions are associated with global solutions.