Radially Excited AdS$_5$ Black Holes in Einstein--Maxwell--Chern--Simons Theory

TL;DR

This paper explores radially excited charged rotating black holes in 5D Einstein--Maxwell--Chern--Simons theory within AdS space, analyzing their structure, thermodynamics, and stability, revealing a discrete set of solutions with complex branch behavior.

Contribution

It introduces the detailed branch structure of radially excited AdS$_5$ black holes and examines their thermodynamic stability, linking excited states to static Reissner-Nordstr"om-AdS solutions.

Findings

Discrete set of radially excited solutions identified

Lower excitation branches can become thermodynamically unstable

Relation established between excited states and static black holes

Abstract

In the large coupling regime of the 5-dimensional Einstein--Maxwell--Chern--Simons theory, charged and rotating cohomogeneity-1 black holes form sequences of extremal and non-extremal radially excited configurations. These asymptotically global Anti-de Sitter (AdS$_5$) black holes form a discrete set of solutions, characterised by the vanishing of the total angular momenta, or the horizon angular velocity. However, the solutions are not static. In this paper, we study the branch structure that contains these excited states, and its relation with the static Reissner-Nordstr\"om-AdS black hole. Thermodynamic properties of these solutions are considered, revealing that the branches with lower excitation number can become thermodynamically unstable beyond certain critical solutions that depend on the free parameters of the configuration.