Charged Rotating AdS Black Holes with Chern-Simons coupling

TL;DR

This paper develops a perturbative approach to construct rotating charged black holes in 5D Einstein-Maxwell-Chern-Simons theory with negative cosmological constant, revealing novel features like counterrotation and non-uniqueness.

Contribution

It introduces a perturbative method to obtain rotating charged AdS black holes with Chern-Simons coupling, exploring their properties and stability beyond supergravity values.

Findings

Counterrotating black holes emerge at high Chern-Simons coupling.

Rotating solutions can have zero angular momentum despite rotation.

Black hole properties depend non-trivially on charge, horizon size, and Chern-Simons parameter.

Abstract

We obtain a perturbative solution for rotating charged black holes in 5-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant. We start from a small undeformed Kerr-AdS solution and use the electric charge as a perturbative parameter to build up black holes with equal-magnitude angular momenta up to forth order. These black hole solutions are described by three parameters, the charge, horizon radius and horizon angular velocity. We determine the physical quantities of these black holes and study their dependence on the parameters of black holes and arbitrary Chern-Simons coefficient. In particular, for values of CS coupling constant beyond its supergravity amount, due to a rotational instability, counterrotating black holes arise. Also the rotating solutions appear to have vanishing angular momenta and do not manifest uniquely by their global charges.